# Items where Subject is "65 Numerical analysis"

- MIMS Preprint Server Subjects (769)
- MSC 2010, the AMS's Mathematics Subject Classification (769)
**65 Numerical analysis**(769)

- MSC 2010, the AMS's Mathematics Subject Classification (769)

**769**.

## Article

Müller, Norbert and Korovina, Margarita
(2010)
*Making big steps in trajectories.*
Electronic Proceedings in Theoretical Computer Science, 24.
pp. 106-119.
ISSN 2075-2180

Adler, Andy and Lionheart, William R.B.
(2006)
*Uses and abuses of EIDORS: An extensible software base for EIT.*
Physiological Measurement, 27.
S25-S42.
ISSN 0967-3334

Al-Mohy, Awad H. and Higham, Nicholas J.
(2010)
*The Complex Step Approximation to the Fréchet Derivative of a Matrix Function.*
Numerical Algorithms, 53 (1).
pp. 133-148.
ISSN 1017-1398

Al-Mohy, Awad H. and Higham, Nicholas J.
(2011)
*Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators.*
SIAM Journal on Scientific Computing, 33 (2).
pp. 488-511.
ISSN 1064-8275

Al-Mohy, Awad H. and Higham, Nicholas J.
(2009)
*Computing the Fréchet Derivative of the Matrix Exponential,
with an application to Condition Number Estimation.*
SIAM Journal On Matrix Analysis and Applications., 30 (4).
pp. 1639-1657.
ISSN 1095-7162

Al-Mohy, Awad H. and Higham, Nicholas J.
(2012)
*Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm.*
SIAM Journal on Scientific Computing, 34 (4).
C152-C169.
ISSN 1095-7197

Al-Mohy, Awad H. and Higham, Nicholas J.
(2009)
*A New Scaling and Squaring Algorithm for the Matrix Exponential.*
SIAM Journal On Matrix Analysis and Applications., 31 (3).
pp. 970-989.
ISSN 1095-7162

Al-Mohy, Awad H. and Higham, Nicholas J.
(2009)
*A New Scaling and Squaring Algorithm for the Matrix Exponential.*
SIAM Journal On Matrix Analysis and Applications., 31 (3).
pp. 970-989.
ISSN 1095-7162

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2013)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
SIAM J. Sci. Comput., 35 (4).
C394 -C410.
ISSN 1095-7197

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2015)
*New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.*
SIAM J. Sci. Comput., 37 (1).
A456-A487.
ISSN 1095-7197

Alexandrov, S. and Harris, David
(2006)
*Comparison of solution behaviour for three models of pressure-dependent plasticity: A simple analytical example.*
International Journal of Mechanical Sciences, 48 (7).
pp. 750-762.
ISSN 0020-7403

Andrew, Robert and Dingle, Nicholas J.
(2014)
*Implementing QR Factorization Updating Algorithms on GPUs.*
Parallel Computing.
ISSN 0167-8191
(In Press)

Andrew, Robert and Dingle, Nicholas J.
(2014)
*Implementing QR Factorization Updating Algorithms on GPUs.*
Parallel Computing, 4 (7).
pp. 161-172.
ISSN 0167-8191

Anjos, M.F. and Hammarling, S. and Paige, C.C.
(1992)
*Solving the Generalized Symmetric Eigenvalue Problem.*
Unpublished.
pp. 1-19.
(Unpublished)

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J.
(2016)
*Matching Exponential-Based and Resolvent-Based Centrality Measures.*
Journal of Complex Networks, 4 (2).
pp. 157-176.

Aprahamian, Mary and Higham, Nicholas J.
(2016)
*Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms.*
SIAM Journal on Matrix Analysis and Applications, 37 (4).
pp. 1453-1477.
ISSN 1095-7162

Aprahamian, Mary and Higham, Nicholas J.
(2014)
*The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential.*
SIAM Journal on Matrix Analysis and Applications, 35 (1).
pp. 88-109.
ISSN 1095-7162

Arrigo, Francesca and Higham, Desmond J. and Noferini, Vanni
*Non-backtracking alternating walks.*
SIAM Journal on Applied Mathematics.
(Submitted)

Baker, C. T. H. and Bocharov, G. A. and Paul, C. A. H. and Rihan, F. A.
(2005)
*Computational modelling with functional differential equations: identification, selection and sensitivity.*
Applied Numerical Mathematics, 53 (2-4).
pp. 107-129.
ISSN 0168-9274

Baker, C. T. H. and Paul, C. A. H.
(2006)
*Discontinuous solutions of neutral delay differential equations.*
Applied Numerical Mathematics, 56 (3-4).
pp. 284-304.
ISSN 0168-9274

Baker, C. T. H. and Paul, C. A. H. and Tian, H.
(2002)
*Differential algebraic equations with after-effect.*
Journal of Computational and Applied Mathematics, 140 (1-2).
pp. 63-80.
ISSN 0377-0427

Baker, Christopher and Song, Yihong
(2004)
*Periodic solutions of discrete Volterra equations.*
Mathematics and Computers in Simulation, 64 (5).
pp. 521-542.
ISSN 0378-4754

Barnett, A. H. and Betcke, T.
(2008)
*Stability and Convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains.*
Journal of Computational Physics, 227 (14).
pp. 7003-7026.
ISSN 0021-9991

Barnett, Alex H. and Betcke, Timo
(2007)
*Quantum mushroom billiards.*
Chaos, 17 (4).
043125.
ISSN 1749-9097

Basebi, T. and Thomas, Ruth M.
(2003)
*A study of moving mesh applied to a thin flame propagating in a detonator delay element.*
Computers and Mathematics with Applications, 45 (1-3).
pp. 131-163.
ISSN 0898-1221

Bespalov, Alex and Powell, Catherine E. and Silvester, David
(2014)
*Energy norm a posteriori error estimation for parametric operator equations.*
SIAM Journal on Scientific Computing, 36 (2).
A339-A363.
ISSN 1095-7197

Bespalov, Alexei and Powell, Catherine E. and Silvester, David
(2012)
*A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data.*
SIAM Journal on Numerical Analysis, 50 (4).
pp. 2039-2063.
ISSN 1095-7170

Betcke, T. and Trefethen, L. N.
(2004)
*Computations of Eigenvalue Avoidance in Planar Domains.*
PAMM, Proceedings in Applied Mathematics and Mechanics, 4 (1).
pp. 634-635.
ISSN 1617-7061

Betcke, Timo
(2006)
*A GSVD formulation of a domain decomposition method for planar eigenvalue problems.*
IMA Journal of Numerical Analysis.
ISSN 1464-3642

Betcke, Timo
(2008)
*The Generalized Singular Value Decomposition and the Method of Particular Solutions.*
SIAM J. Sci. Comp., 30 (3).
pp. 1278-1295.
ISSN 1095-7197

Betcke, Timo and Trefethen, Lloyd N.
(2005)
*Reviving the Method of Particular Solutions.*
SIAM Review, 47 (3).
pp. 469-491.
ISSN 0036-1445

Betcke, Timo and Voss, Heinrich
(2004)
*A Jacobi-Davidson type projection method for nonlinear eigenvalue problems.*
Future Generation Computer Systems, 20 (3).
pp. 363-372.
ISSN 0167-739X

Bethune, Iain and Bull, J. Mark and Dingle, Nicholas J. and Higham, Nicholas J.
(2011)
*Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations.*
To appear in International Journal of High Performance Computing Applications.
(In Press)

Bini, Dario A. and Gemignani, Luca and Tisseur, Françoise
(2005)
*The Ehrlich--Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem.*
SIAM Journal on Matrix Analysis and Applications, 27 (1).
pp. 153-175.
ISSN 1095-7162

Bini, Dario A. and Higham, Nicholas J. and Meini, Beatrice
(2005)
*Algorithms for the Matrix p'th Root.*
Numerical Algorithms, 39 (4).
pp. 349-378.
ISSN 1572-9265

Blanchard, Pierre and Higham, Nicholas J. and Lopez, Florent and Mary, Theo and Pranesh, Srikara
*Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores.*
SIAM Journal on Scientific Computing.
ISSN 1095-7197
(In Press)

Blanchard, Pierre and Higham, Nicholas J. and Mary, Theo
*A Class of Fast and Accurate Summation Algorithms.*
SIAM Journal on Scientific Computing.
ISSN 1095-7197
(In Press)

Bojanczyk, Adam and Higham, Nicholas J and Patel, Harikrishna
(2003)
*Solving the indefinite least squares problem by hyperbolic QR factorization.*
SIAM Journal On Matrix Analysis And Applications, 24 (4).
pp. 914-931.
ISSN 1095-7162

Borsdorf, Rudiger and Higham, Nicholas J.
(2008)
*A Preconditioned Newton Algorithm for the Nearest Correlation Matrix.*
IMA Journal of Numerical Analysis, 30 (1).
pp. 94-107.
ISSN 1464-3642

Borsdorf, Rüdiger and Higham, Nicholas J. and Raydan, Marcos
(2010)
*Computing a Nearest Correlation Matrix with Factor Structure.*
SIAM Journal on Matrix Analysis and Applications, 31 (5).
pp. 2603-2622.
ISSN 1095-7162

Braconnier, Thierry and Higham, Nicholas J.
(1996)
*Computing the field of values and pseudospectra using the Lanczos method with continuation.*
BIT Numerical Mathematics, 36:3.
pp. 422-440.
ISSN 1572-9125

Broomhead, D. S. and Kirby, M. J.
(2005)
*Dimensionality Reduction Using Secant-Based Projection Methods: The Induced Dynamics in Projected Systems.*
Nonlinear Dynamics, 41 (1-3).
pp. 47-67.
ISSN 1573-269X

Burgisser, Peter and Cucker, Felipe and Lotz, Martin
(2008)
*The probability that a slightly perturbed numerical analysis problem is difficult.*
Mathematics of Computation, 77.
pp. 1559-1583.
ISSN 1088-6842

Carson, Erin and Higham, Nicholas J.
(2017)
*Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions.*
SIAM Journal on Scientific Computing (2017.24).
ISSN 1749-9097

Carson, Erin and Higham, Nicholas J.
(2017)
*A New Analysis of Iterative Refinement and its Application to
Accurate Solution of Ill-Conditioned Sparse Linear Systems.*
SIAM Journal on Scientific Computing, 39 (6).
A2834-A2856.
ISSN 1095-7197

Chahlaoui, Younes
(2011)
*An interview with Paul Van Dooren.*
Applied Numerical Mathematics (APNUM), IISIMS (Specia).
(Submitted)

Chahlaoui, Younes
(2009)
*A posteriori error bounds for discrete balanced truncation.*
SIAM Journal on Scientific Computing (SISC).
(Submitted)

Chahlaoui, Younes
(2010)
*A posteriori error bounds for discrete balanced truncation.*
Linear Algebra and Its Applications, specia.
(Submitted)

Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul
(2003)
*Recursive calculation of dominant singular subspaces.*
SIAM Journal on Matrix Analysis and Applications (SIMAX), 25 (2).
pp. 445-463.
ISSN 0895-4798

Chahlaoui, Younes and Lemonnier, Damien and Vandendorpe, Antoine and Van Dooren, Paul
(2004)
*Second Order Balanced Truncation.*
Linear Algebra and its Applications, 415 (2-3).
pp. 373-384.
ISSN 0024-3795

Chahlaoui, Younès
(2010)
*Two efficient SVD/Krylov algorithms for model order reduction of large scale systems.*
Electronic Transactions On Numerical Analysis (ETNA).
(Submitted)

Chahlaoui, Younès
(2011)
*Two efficient SVD/Krylov algorithms for model order reduction of large scale systems.*
Electronic Transactions On Numerical Analysis (ETNA), 38.
pp. 113-145.
ISSN 1068-9613

Cheng, Sheung Hun and Higham, Nicholas J and Kenney, Charles S and Laub, Alan J
(2001)
*Approximating the logarithm of a matrix to specified accuracy.*
SIAM Journal On Matrix Analysis And Applications, 22 (4).
pp. 1112-1125.
ISSN 1095-7162

Cheng, Sheung Hun and Higham, Nicholas J.
(1998)
*A modified Cholesky algorithm based on a symmetric indefinite factorization.*
SIAM Journal On Matrix Analysis And Applications, 19 (4).
pp. 1097-1110.
ISSN 1095-7162

Cheng, Sheung Hun and Higham, Nicholas J.
(1999)
*The nearest definite pair for the Hermitian generalized eigenvalue problem.*
Linear Algebra and its Applications, 302-30.
pp. 63-76.
ISSN 0024-3795

Coban, Sophia Bethany
(2015)
*SophiaBeads Datasets Project Documentation and Tutorials.*
MIMS Eprints.

Cotter, Simon and Dashti, Massoumeh and Stuart, Andrew
(2010)
*Approximation of Bayesian Inverse Problems for PDEs.*
SIAM Journal on Numerical Analysis, 48 (1).
pp. 322-345.

Cotter, Simon and Vejchodsky, Tomas and Erban, Radek
(2013)
*Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems.*
SIAM Journal on Scientific Computing, 35 (1).

Cotter, Simon and Zygalakis, Konstantinos and Ioannis, Kevrekidis and Erban, Radek
(2011)
*A constrained approach to multiscale stochastic simulation of chemically reacting systems.*
Journal of Chemical Physics, 135.

Cox, Anthony J. and Higham, Nicholas J.
(1999)
*Accuracy and stability of the null space method for solving the equality constrained least squares problem.*
BIT Numerical Mathematics, 39 (1).
pp. 34-50.
ISSN 1572-9125

Cox, Anthony J. and Higham, Nicholas J.
(1999)
*Backward error bounds for constrained least squares problems.*
BIT Numerical Mathematics, 39 (2).
pp. 210-227.
ISSN 1572-9125

Cox, Anthony J. and Higham, Nicholas J.
(1999)
*Row-wise backward stable elimination methods for the equality constrained least squares problem.*
SIAM Journal On Matrix Analysis And Applications, 21 (1).
pp. 313-326.
ISSN 1095-7162

Crabb, Michael and Davidson, John and Little, Ross and Wright, Paul and Morgan, Alexandra and Miller, Chris and Naish, Josephine and Parker, Geoff and Kikinis, Ron and McCann, Hugh and Lionheart, William
(2014)
*Mutual information as a measure of image quality for 3D dynamic lung imaging with EIT.*
Physiological Measurement, 35 (5).
pp. 863-879.

Cucker, Felipe and Hauser, Raphael and Lotz, Martin
(2010)
*Adversarial Smoothed Analysis.*
Journal of Complexity (26).
pp. 255-262.

Davies, Philip I. and Higham, Nicholas J.
(2000)
*Numerically stable generation of correlation matrices and their factors.*
BIT Numerical Mathematics, 40 (4).
pp. 640-651.
ISSN 1572-9125

Davies, Philip I. and Higham, Nicholas J.
(2003)
*A Schur--Parlett Algorithm for Computing Matrix Functions.*
SIAM Journal On Matrix Analysis and Applications, 25 (2).
pp. 464-485.
ISSN 1095-7162

Davies, Philip I. and Higham, Nicholas J. and Tisseur, Françoise
(2001)
*Analysis of the Cholesky Method with Iterative Refinement for
Solving the Symmetric Definite Generalized Eigenproblem.*
SIAM Journal on Matrix Analysis and Applications, 23 (2).
pp. 472-493.
ISSN 0895-4798

Deadman, Edvin and Higham, Nicholas J. and Ralha, Rui
(2013)
*Blocked Schur Algorithms for Computing the Matrix Square Root.*
Lecture Notes in Computer Science, 7782.
pp. 171-182.

Deadman, Edvin and Relton, Samuel
(2016)
*Taylor's Theorem for Matrix Functions with Applications to Condition Number Estimation.*
Linear Algebra and its Applications, 504 (2015.2).
pp. 354-371.
ISSN 0024-3795

Dedieu, Jean-Pierre and Kim, Myong-Hi and Shub, Michael and Tisseur, Françoise
(2003)
*Implicit Gamma Theorems (I): Pseudoroots and Pseudospectra.*
Foundation of Computational Mathematics, 3 (1).
pp. 1-31.
ISSN 1615-3383

Demmel, James W. and Higham, Nicholas J.
(1993)
*Improved error bounds for underdetermined system solvers.*
SIAM Journal On Matrix Analysis And Applications, 14 (1).
pp. 1-14.
ISSN 1095-7162

Demmel, James W. and Higham, Nicholas J.
(1992)
*Stability of Block Algorithms with Fast Level-3 BLAS.*
ACM Transactions on Mathematical Software, 18 (3).
pp. 274-291.
ISSN 0098-3500

Donfack, Simplice and Grigori, Laura and Khabou, Amal
(2012)
*Avoiding communication through a multilevel
LU factorization.*
Euro-Par 2012 Parallel Processing, 7484 (2012).
pp. 551-562.
ISSN 0302-9743

Dongarra, Jack and Hammarling, Sven and Higham, Nicholas J. and Relton, Samuel D. and Valero-Lara, Pedro and Zounon, Mawussi
(2017)
*The Design and Performance of Batched BLAS on Modern High-Performance Computing Systems.*
Procedia Computer Science, 108.
pp. 495-504.

Dorn, O and Lionheart, WRB and Soleimani, M
(2006)
*Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data.*
Inverse Problems in Science and Engineering, 14 (2).
pp. 193-210.
ISSN 1741-5977

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2016)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
SIAM Review, 58 (1).
pp. 90-116.
ISSN 1095-7200

Duminil, Sebastien and Sadok, Hassane and Silvester, David
(2014)
*Fast solvers for discretized Navier-Stokes problems using vector extrapolation.*
Numerical Algorithms, 66 (1).
pp. 89-104.
ISSN 1017-1398

Elman, Howard and Howle, Victoria and Shadid, John and Silvester, David and Tuminaro, Ray
(2007)
*Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations.*
SIAM Journal on Scientific Computing, 30 (1).
pp. 290-311.
ISSN 1095-7197

Elman, Howard and Mihajlovic, Milan and Silvester, David
(2011)
*Fast iterative solvers for buoyancy driven flow problems.*
Journal of Computational Physics, 230 (10).
pp. 3900-3914.
ISSN 0021-9991

Elman, Howard C. and Ramage, Alison and Silvester, David J.
(2007)
*Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow.*
ACM Transactions on Mathematical Software (TOMS), 33 (2: 14).
ISSN 0098-3500

Elman, Howard C. and Ramage, Alison and Silvester, David J.
(2014)
*IFISS: A computational laboratory for investigating incompressible flow
problems.*
SIAM Review, 56 (2).
pp. 261-273.
ISSN 0036-1445

Elman, Howard C. and Silvester, David J. and Wathen, Andrew J.
(2002)
*Performance and analysis of saddle point preconditioner for the discrete steady-state Navier-Stokes equations.*
Numerische Mathematik, 90 (4).
pp. 665-688.
ISSN 0945-3245

Elsworth, Steven and Güttel, Stefan
(2017)
*Conversions between barycentric, RKFUN, and Newton representations of rational interpolants.*
Linear Algebra and its Applications (2017.40).
ISSN 0024-3795
(In Press)

Ernst, O.G. and Powell, C.E and Silvester, D.J. and Ullmann, E.
(2009)
*Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data.*
SIAM Journal of Scientific Computing, 31 (2).
pp. 1424-1447.

Fasi, Massimiliano and Higham, Nicholas J.
(2018)
*Multiprecision Algorithms for Computing the Matrix Logarithm.*
SIAM Journal On Matrix Analysis And Applications, 39 (1).
pp. 472-491.
ISSN 1095-7162

Fasi, Massimiliano and Higham, Nicholas J. and Iannazzo, Bruno
(2015)
*An Algorithm for the Matrix Lambert W Function.*
SIAM Journal on Matrix Analysis and Applications, 36 (2).
pp. 669-685.
ISSN 1095-7162

Fasi, Massimiliano and Langou, Julien and Robert, Yves and Uçar, Bora
(2015)
*A Backward/Forward Recovery Approach for the Preconditioned Conjugate Gradient Method.*
Submitted for publication.
(Unpublished)

Garvey, Seamus D. and Tisseur, Françoise and Friswell, Michael I. and Penny, John E. T. and Prells, Uwe
(2003)
*Simultaneous tridiagonalization of two symmetric matrices.*
International Journal for Numerical Methods in Engineering, 57 (12).
pp. 1643-1660.
ISSN 0029-5981

Grammont, Laurence and Higham, Nicholas J. and Tisseur, Françoise
(2011)
*A Framework for Analyzing Nonlinear Eigenproblems
and Parametrized Linear Systems.*
Linear Algebra and its Applications, 435 (3).
pp. 623-640.
ISSN 0024-3795

Gresho, Philip and Griffiths, David and Silvester, David
(2008)
*Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion.*
SIAM Journal on Scientific Computing, 30 (4).
pp. 2018-2054.
ISSN 1064-8275

Guo, Chun-Hua and Higham, Nicholas J.
(2007)
*Iterative Solution of a Nonsymmetric Algebraic Riccati Equation.*
SIAM Journal On Matrix Analysis and Applications., 29 (2).
pp. 396-412.
ISSN 0895-4798

Guo, Chun-Hua and Higham, Nicholas J.
(2006)
*A Schur-Newton Method for the Matrix p'th Root and its Inverse.*
SIAM Journal On Matrix Analysis and Applications, 28 (3).
pp. 788-804.
ISSN 0895-4798

Guo, Chun-Hua and Higham, Nicholas J.
(2006)
*A Schur-Newton Method for the Matrix p'th Root and its Inverse.*
SIAM Journal On Matrix Analysis and Applications, 28 (3).
pp. 788-804.
ISSN 0895-4798

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise
(2009)
*Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems.*
SIAM Journal On Matrix Analysis and Applications., 30 (4).
pp. 1593-1613.
ISSN 1095-7162

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise
(2009)
*An Improved Arc Algorithm for Detecting Definite Hermitian Pairs.*
SIAM Journal On Matrix Analysis and Applications., 31 (3).
1131- 1151.
ISSN 1095-7162

Hale, Nicholas and Higham, Nicholas J. and Trefethen, Lloyd N.
(2008)
*Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals.*
SIAM Journal on Numerical Analysis, 46 (5).
pp. 2505-2523.
ISSN 0036-1429

Hammarling, Sven
(1985)
*The Singular Value Decomposition in Multivariate Statistics.*
ACM Signum Newsletter, 20 (3).
pp. 2-25.

Hammarling, Sven
(1977)
*A Survey of Numerical Aspects of Plane Rotations.*
Middlesex Polytechnic Report, Maths (1).
pp. 1-35.

Hargreaves, Gareth I.
(2006)
*Computing the Condition Number of Tridiagonal and
Diagonal-Plus-Semiseparable Matrices in Linear Time.*
SIAM Journal On Matrix Analysis and Applications, 27 (3).
pp. 801-820.
ISSN 1095-7162

Hargreaves, Gareth I. and Higham, Nicholas J.
(2005)
*Efficient Algorithms for the Matrix Cosine and Sine.*
Numerical Algorithms, 40 (4).
pp. 383-400.
ISSN 1572-9265

Higham, Desmond J. and Higham, Nicholas J.
(1992)
*Backward error and condition of structured linear systems.*
SIAM Journal On Matrix Analysis And Applications, 13 (1).
pp. 162-175.
ISSN 1095-7162

Higham, Desmond J. and Higham, Nicholas J.
(1992)
*Componentwise perturbation theory for linear systems with multiple right-hand sides.*
Linear Algebra and its Applications, 174.
pp. 111-129.
ISSN 0024-3795

Higham, Desmond J. and Higham, Nicholas J.
(1998)
*Structured backward error and condition of generalized eigenvalue problems.*
SIAM Journal On Matrix Analysis And Applications, 20 (2).
pp. 493-512.
ISSN 1095-7162

Higham, Nicholas J
(2004)
*The numerical stability of barycentric Lagrange interpolation.*
IMA Journal of Numerical Analysis, 24.
pp. 547-556.
ISSN 1464-3642

Higham, Nicholas J and Kim, Hyun-Min
(2000)
*Numerical analysis of a quadratic matrix equation.*
IMA Journal of Numerical Analysis, 20.
pp. 499-519.
ISSN 1464-3642

Higham, Nicholas J and Kim, Hyun-Min
(2001)
*Solving a quadratic matrix equation by Newton's method with exact line searches.*
SIAM Journal On Matrix Analysis And Applications, 23 (2).
pp. 303-316.
ISSN 1095-7162

Higham, Nicholas J.
(1991)
*Algorithm 694: A Collection of Test Matrices in MATLAB.*
ACM Transactions on Mathematical Software, 17 (3).
pp. 289-305.
ISSN 0098-3500

Higham, Nicholas J.
(1990)
*Bounding the error in Gaussian elimination for tridiagonal systems.*
SIAM Journal On Matrix Analysis And Applications, 11 (4).
pp. 521-530.
ISSN 1095-7162

Higham, Nicholas J.
(2008)
*Cayley, Sylvester, and Early Matrix Theory.*
Linear Algebra Appl., 428.
pp. 39-43.
ISSN 0024-3795

Higham, Nicholas J.
(2008)
*Cayley, Sylvester, and Early Matrix Theory.*
Linear Algebra Appl., 428.
pp. 39-43.
ISSN 0024-3795

Higham, Nicholas J.
(1988)
*Computing a nearest symmetric positive semidefinite matrix.*
Linear Algebra and its Applications, 103.
pp. 103-118.
ISSN 0024-3795

Higham, Nicholas J.
(1987)
*Computing real square roots of a real matrix.*
Linear Algebra and its Applications, 88-89.
pp. 405-430.
ISSN 0024-3795

Higham, Nicholas J.
(2002)
*Computing the Nearest Correlation Matrix---A Problem from Finance.*
IMA Journal of Numerical Analysis, 22 (3).
pp. 329-343.
ISSN 0272-4979

Higham, Nicholas J.
(1986)
*Computing the Polar Decomposition---with Applications.*
SIAM Journal of Scientific and Statistical Computing, 7 (4).
pp. 1160-1174.
ISSN 1064-8275

Higham, Nicholas J.
(1986)
*Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix.*
SIAM Journal of Scientific and Statistical Computing, 7 (1).
pp. 150-165.
ISSN 1064-8275

Higham, Nicholas J.
(1992)
*Estimating the matrix p-norm.*
Numerische Mathematik, 62.
pp. 539-555.
ISSN 0945-3245

Higham, Nicholas J.
(1990)
*Experience with a Matrix Norm Estimator.*
SIAM Journal on Scientific and Statistical Computing, 11 (4).
pp. 804-809.
ISSN 1095-7197

Higham, Nicholas J.
(1990)
*Exploiting fast matrix multiplication within the level 3 BLAS.*
ACM Transactions on Mathematical Software, 16 (4).
pp. 352-368.
ISSN 0098-3500

Higham, Nicholas J.
(1988)
*FORTRAN codes for estimating the one-norm of a real or complex matrix, with appliations to condition estimation.*
ACM Transactions on Mathematical Software, 14 (4).
pp. 381-396.
ISSN 0098-3500

Higham, Nicholas J.
(1998)
*Factorizing complex symmetric matrices with positive definite real and imaginary parts.*
Mathematics of Computation, 67 (224).
pp. 1591-1599.
ISSN 1088-6842

Higham, Nicholas J.
(2011)
*Gaussian Elimination.*
Wiley Interdisciplinary Reviews: Computational Statistics, 3 (3).
pp. 230-238.
ISSN 1939-0068

Higham, Nicholas J.
(1991)
*Iterative refinement enhances the stability of QR factorization methods for solving linear equations.*
BIT Numerical Mathematics, 31.
pp. 447-468.
ISSN 1572-9125

Higham, Nicholas J.
(2003)
*$J$-Orthogonal Matrices: Properties and Generation.*
SIAM Review, 45 (3).
pp. 504-519.
ISSN 0036-1445

Higham, Nicholas J.
(1986)
*Newton's method for the matrix square root.*
Mathematics of Computation, 46 (174).
pp. 537-549.
ISSN 00255718

Higham, Nicholas J.
(1993)
*Optimization by direct search in matrix computations.*
SIAM Journal On Matrix Analysis And Applications, 14 (2).
pp. 317-333.
ISSN 1095-7162

Higham, Nicholas J.
(1993)
*Perturbation Theory and Backward Error for $AX-XB=C$.*
BIT Numerical Mathematics, 33.
pp. 124-136.
ISSN 1572-9125

Higham, Nicholas J.
(2000)
*QR factorization with complete pivoting and accurate computation of the SVD.*
Elsevier, Linear Algebra and its Applications, 309.
pp. 153-174.
ISSN 0024-3795

Higham, Nicholas J.
(2007)
*Review of ``Spectra and Pseudospectra: The Behavior of Nonnormal Matrices
and Operators'', by
Lloyd N. Trefethen and Mark Embree.
Princeton University Press, Princeton, NJ, USA, 2005.*
Bull. Amer. Math. Soc., 44 (2).
pp. 277-284.
ISSN 1088-9485

Higham, Nicholas J.
(2005)
*The Scaling and Squaring Method for the Matrix Exponential Revisited.*
SIAM Journal On Matrix Analysis and Applications, 26 (4).
pp. 1179-1193.
ISSN 1095-7162

Higham, Nicholas J.
(2009)
*The Scaling and Squaring Method for the Matrix Exponential Revisited.*
SIAM Review, 51 (4).
pp. 747-764.
ISSN 0036-1445

Higham, Nicholas J.
(1990)
*Stability analysis of algorithms for solving confluent Vandermonde-like systems.*
SIAM Journal On Matrix Analysis And Applications, 11 (1).
pp. 23-41.
ISSN 1095-7162

Higham, Nicholas J.
(1992)
*Stability of a method for multiplying complex matrices with three real matrix multiplications.*
SIAM Journal On Matrix Analysis And Applications, 13 (3).
pp. 681-687.
ISSN 1095-7162

Higham, Nicholas J.
(1995)
*Stability of parallel triangular system solvers.*
SIAM Journal on Scientific Computing, 16 (2).
pp. 400-413.
ISSN 1095-7197

Higham, Nicholas J.
(1997)
*Stability of the diagonal pivoting method with partial pivoting.*
SIAM Journal On Matrix Analysis And Applications, 18 (1).
pp. 52-65.
ISSN 1095-7162

Higham, Nicholas J.
(1997)
*Stable iterations for the matrix square root.*
Numerical Algorithms, 15 (2).
pp. 227-242.
ISSN 1572-9265

Higham, Nicholas J.
(1987)
*A Survey of Condition Number Estimation for Triangular Matrices.*
SIAM Review, 29 (4).
pp. 575-596.
ISSN 0036-1445

Higham, Nicholas J.
(2014)
*Sylvester's Influence on Applied Mathematics.*
Mathematics Today, 50 (4).
pp. 202-206.
ISSN 1361-2042

Higham, Nicholas J.
(1994)
*The matrix sign decomposition and its relation to the polar decomposition.*
Linear Algebra and its Applications, 212-21.
pp. 3-20.
ISSN 0024-3795

Higham, Nicholas J.
(1988)
*The symmetric Procrustes problem.*
BIT Numerical Mathematics, 28.
pp. 133-143.
ISSN 1572-9125

Higham, Nicholas J. and Al-Mohy, Awad H.
(2010)
*Computing Matrix Functions.*
Acta Numerica, 19.
159 -208.
ISSN 0962-4929

Higham, Nicholas J. and Al-Mohy, Awad H.
(2010)
*Computing Matrix Functions.*
Acta Numerica, 19.
159 -208.
ISSN 0962-4929

Higham, Nicholas J. and Cheng, Sheung Hun
(1998)
*Modifying the interia of matrices arising in optimization.*
Linear Algebra and its Applications, 275-27.
pp. 261-279.
ISSN 0024-3795

Higham, Nicholas J. and Higham, Desmond J.
(1989)
*Large growth factors in Gaussian elimination with pivoting.*
SIAM Journal On Matrix Analysis And Applications, 10 (2).
pp. 155-164.
ISSN 1095-7162

Higham, Nicholas J. and Kandolf, Peter
(2017)
*Computing the Action of Trigonometric and Hyperbolic Matrix Functions.*
SIAM Journal on Scientific Computing, 39 (2).
A613-A627.
ISSN 1095-7197

Higham, Nicholas J. and Knight, Philip A.
(1993)
*Finite precision behavior of stationary iteration for solving singular systems.*
Linear Algebra and its Applications, 192.
pp. 165-186.
ISSN 0024-3795

Higham, Nicholas J. and Knight, Philip A.
(1995)
*Matrix powers in finite precision arithmetic.*
SIAM Journal On Matrix Analysis And Applications, 16 (2).
pp. 343-358.
ISSN 1095-7162

Higham, Nicholas J. and Konstantinov, Mihail and Mehrmann, Volker and Petkov, Petko
(2004)
*The Sensitivity of Computational Control Problems.*
IEEE Control Systems Magazine, 24 (1).
pp. 28-43.
ISSN 0272-1708

Higham, Nicholas J. and Li, Ren-Cang and Tisseur, Françoise
(2007)
*Backward Error of Polynomial Eigenproblems Solved by Linearization.*
SIAM Journal on Matrix Analysis and Applications, 29 (4).
pp. 1218-1241.
ISSN 0895-4798

Higham, Nicholas J. and Lin, Lijing
(2013)
*An Improved Schur--Pade Algorithm for Fractional Powers of a Matrix and their Frechet Derivatives.*
SIAM. J. Matrix Anal. & Appl., 34 (3).
pp. 1341-1360.
ISSN 1095-7162

Higham, Nicholas J. and Lin, Lijing
(2011)
*On $p$th Roots of Stochastic Matrices.*
Linear Algebra and its Applications, 435 (3).
pp. 448-463.
ISSN 1749-9097

Higham, Nicholas J. and Lin, Lijing
(2011)
*A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix.*
SIAM J. on Matrix Analysis and Applications, 32 (3).
pp. 1056-1078.
ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2004)
*Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups.*
SIAM Journal On Matrix Analysis and Applications, 25 (4).
pp. 1178-1192.
ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2004)
*Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups.*
SIAM Journal On Matrix Analysis and Applications, 25 (4).
pp. 1178-1192.
ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2005)
*Functions Preserving Matrix Groups and Iterations for the Matrix Square Root.*
SIAM Journal On Matrix Analysis and Applications, 26 (3).
pp. 849-877.
ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2005)
*Functions Preserving Matrix Groups and Iterations for the Matrix Square Root.*
SIAM Journal On Matrix Analysis and Applications, 26 (3).
pp. 849-877.
ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2006)
*Symmetric Linearizations for Matrix Polynomials.*
SIAM Journal on Matrix Analysis and Applications, 29 (1).
pp. 143-159.
ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise
(2006)
*The Conditioning of Linearizations of
Matrix Polynomials.*
SIAM J. Matrix Anal. Appl., 28 (4).
pp. 1005-1028.
ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise
(2009)
*Definite Matrix Polynomials and their Linearization by Definite Pencils.*
SIAM Journal on Matrix Analysis and Applications, 31 (2).
478 - 502.
ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise and Garvey, Seamus D.
(2008)
*Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems.*
International Journal for Numerical Methods in Engineering, 73 (3).
pp. 344-360.

Higham, Nicholas J. and Mary, Theo
(2019)
*A New Approach to Probabilistic Rounding Error Analysis.*
SIAM Journal on Scientific Computing, 41 (5).
A2815-A2835.
ISSN 1095-7197

Higham, Nicholas J. and Mehl, Christian and Tisseur, Françoise
(2010)
*The Canonical Generalized Polar Decomposition.*
SIAM Journal On Matrix Analysis and Applications, 31 (4).
2163 -2180.
ISSN 0895-4798

Higham, Nicholas J. and Papadimitriou, Pythagoras
(1994)
*A parallel algorithm for computing the polar decomposition.*
Elsevier, Parallel Computing, 20.
pp. 1161-1173.
ISSN 0024-3795

Higham, Nicholas J. and Pothen, Alex
(1994)
*Stability of the partitioned inverse method for parallel solution of sparse triangular systems.*
SIAM Journal on Scientific Computing, 15 (1).
pp. 139-148.
ISSN 1095-7197

Higham, Nicholas J. and Relton, Samuel D.
(2014)
*Estimating the Condition Number of the Frechet Derivative
of a Matrix Function.*
SIAM Journal on Scientific Computing, 36 (6).
C617-C634.
ISSN 1064-8275

Higham, Nicholas J. and Relton, Samuel D.
(2016)
*Estimating the Largest Elements of a Matrix.*
SIAM Journal on Scientific Computing, 38 (5).
C584-C601.

Higham, Nicholas J. and Relton, Samuel D.
(2014)
*Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number.*
SIAM Journal on Matrix Analysis and Applications, 35 (3).
pp. 1019-1037.
ISSN 1095-7162

Higham, Nicholas J. and Schreiber, Robert S.
(1990)
*Fast polar decomposition of an arbitrary matrix.*
SIAM Journal on Scientific and Statistical Computing, 11 (4).
pp. 648-655.
ISSN 1095-7197

Higham, Nicholas J. and Strabić, Nataša
(2015)
*Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix.*
Numerical Algorithms.
pp. 1-22.
ISSN 1017-1398

Higham, Nicholas J. and Strabić, Nataša
(2016)
*Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix.*
Numerical Algorithms, 72 (4).
pp. 1021-1042.
ISSN 1572-9265

Higham, Nicholas J. and Strabić, Nataša
(2016)
*Bounds for the Distance to the Nearest Correlation Matrix.*
SIAM Journal on Matrix Analysis and Applications, 37 (3).
pp. 1088-1102.
ISSN 1095-7162

Higham, Nicholas J. and Strabić, Nataša and Šego, Vedran
(2016)
*Restoring Definiteness via Shrinking, with an Application to
Correlation Matrices with a Fixed Block.*
SIAM Review, 58 (2).
pp. 245-263.
ISSN 1095-7200

Higham, Nicholas J. and Tisseur, Françoise
(2002)
*More on pseudospectra for polynomial eigenvalue problems and applications in control theory.*
Elsevier, Linear Algebra and its Applications, 351-35.
pp. 435-453.
ISSN 0024-3795

Higham, Nicholas J. and Tisseur, Françoise
(2000)
*A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra.*
SIAM Journal On Matrix Analysis And Applications, 21 (4).
pp. 1185-1201.
ISSN 1095-7162

Higham, Nicholas J. and Tisseur, Françoise and Van Dooren, Paul M.
(2002)
*Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems.*
Elsevier, Linear Algebra and its Applications, 351-35.
pp. 455-474.
ISSN 0024-3795

Hook, James and Dingle, Nick
(2016)
*Performance Analysis of Asynchronous Parallel Jacobi.*
in review.
(Submitted)

Hook, James and Tisseur, Francoise
(2017)
*Incomplete LU preconditioner based on max-plus approximation of LU factorization.*
SIAM Journal On Matrix Analysis And Applications, 38 (4).
pp. 1160-1189.
ISSN 1095-7162

Hudson, Justin and Harris, David
(2006)
*A high resolution scheme for Eulerian gas-solid two-phase isentropic flow.*
Journal of Computational Physics, 216 (2).
pp. 494-525.
ISSN 1090-2716

Jeannerod, Claude-Pierre and Mary, Theo and Pernet, Clément and Roche, Daniel
(2019)
*Improving the Complexity of Block Low-Rank Factorizations with Fast Matrix Arithmetic.*
SIAM Journal On Matrix Analysis And Applications, 40 (4).
pp. 1478-1496.
ISSN 1095-7162

Kandolf, Peter and Relton, Samuel D.
(2017)
*A Block Krylov Method to Compute the Action of the Frechet Derivative of a Matrix Function on a Vector with Applications to Condition Number Estimation.*
SIAM J. Sci. Comput., 39 (4).
A1416-A1434.

Karow, Michael and Kressner, Daniel and Tisseur, Françoise
(2006)
*Structured Eigenvalue Condition Numbers.*
SIAM J. Matrix Anal. Appl., 28 (4).
pp. 1052-1068.
ISSN 0895-4798

Karow, Michael and Kressner, Daniel and Tisseur, Françoise
(2006)
*Structured Eigenvalue Condition Numbers.*
SIAM J. Matrix Anal. Appl., 28 (4).
pp. 1052-1068.
ISSN 0895-4798

Kay, David and Silvester, David J.
(2001)
*The reliability of local error estimators for convection diffusion equations.*
IMA Journal of Numerical Analysis, 21 (1).
pp. 107-122.
ISSN 0272-4979

Kay, David A. and Gresho, Philip M. and Griffiths, David F. and Silvester, David J.
(2010)
*Adaptive time-stepping for incompressible flow
Part II: Navier-Stokes Equations.*
SIAM Journal on Scientific Computing, 32 (1).
pp. 111-128.
ISSN 1095-7197

Khabou, Amal and Demmel, James W. and Grigori, Laura and Gu, Ming
(2013)
*LU FACTORIZATION WITH PANEL RANK REVEALING PIVOTING AND ITS COMMUNICATION AVOIDING VERSION.*
SIAM Journal on Matrix Analysis and Applications, Volume (Issue ).
pp. 1401-1429.
ISSN 0895-4798

Kotasidis, FA and Matthews, JC and Angelis, GI and Noonan, PJ and Jackson, A and Price, P and Lionheart, WR and Reader, AJ
(2011)
*Single Scan Parameterization of Space-Variant Point Spread Functions in Image Space via a Printed Array: Impact for two PET/CT Scanners.*
Physics in Medicine and Biology, 56 (10).
p. 2917.
ISSN 1361-6560

Liao, Qifeng and Silvester, David
(2010)
*A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations.*
Applied Numerical Mathematics.
ISSN 0168-9274
(In Press)

Lin, Lijing and Higham, Nicholas J. and Pan, Jianxin
(2014)
*Covariance Structure Regularization via Entropy Loss Function.*
Computational Statistics & Data Analysis, 72.
pp. 315-327.
ISSN 0167-9473

Lionheart, William R.B.
(2001)
*Reconstruction Algorithms for Permittivity and Conductivity Imaging.*
Proceedings of the 2nd World Congress on Industrial Process Tomography, Hannover, Germany , Wednesday 29th to Friday 31st August 2001.
pp. 4-11.

Mackey, D. S. and Mackey, Niloufer and Tissuer, Françoise
(2004)
*G-reflectors: Analogues of householder transformations in scalar product spaces.*
Linear Algebra and its Applications, 385.
pp. 187-213.
ISSN 0024-3795

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2007)
*Numerical methods for palindromic eigenvalue problems:
Computing the anti-triangular Schur form.*
Numerical Linear Algebra with Applications.
(In Press)

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2006)
*Structured Polynomial Eigenvalue Problems:
Good Vibrations from Good Linearizations.*
SIAM J. Matrix Anal. Appl., 28 (4).
pp. 1029-1051.
ISSN 0895-4798

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2006)
*Vector Spaces of Linearizations for Matrix Polynomials.*
SIAM J. Matrix Anal. Appl., 28 (4).
pp. 971-1004.
ISSN 0895-4798

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2004)
*G-Reflectors: Analogues of Householder Transformations in Scalar Product Spaces.*
Linear Algebra and its Applications, 385.
pp. 187-213.
ISSN 0024-3795

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2003)
*Structured tools for structured matrices.*
Electronic Journal of Linear Algebra, 10.
pp. 106-145.
ISSN 1081-3810

Mackey, D.S. and Mackey, N. and Tisseur, F.
(2006)
*Structured Factorizations in Scalar Product Spaces.*
SIAM Journal on Matrix Analysis and Applications, 27 (3).
pp. 821-850.
ISSN 1095-7162

Nakatsukasa, Yuji
(2011)
*Gerschgorin's theorem for generalized eigenvalue problems in the Euclidean metric.*
Mathematics of Computation, 80 (276).
pp. 2127-2142.
ISSN 1088-6842(e)

Nakatsukasa, Yuji and Higham, Nicholas J.
(2011)
*Backward stability of iterations for computing the polar decomposition.*
SIAM Journal On Matrix Analysis and Applications.
ISSN 1749-9097
(In Press)

Nakatsukasa, Yuji and Higham, Nicholas J.
(2012)
*Backward stability of iterations for computing the polar decomposition.*
SIAM Journal on Matrix Analysis and Applications, 33 (2).
pp. 460-479.
ISSN 0895-4798

Nakatsukasa, Yuji and Higham, Nicholas J.
(2013)
*Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD.*
SIAM J. Sci. Comput., 35 (3).
A1325-A1349.
ISSN 1095-7197

Noferini, Vanni
(2016)
*A formula for the Frechet derivative of a
generalized matrix function.*
SIAM Journal of Matrix Analysis and Applications (2016.2).
ISSN 1749-9097
(In Press)

Noferini, Vanni and Sharify, Meisam and Tisseur, Francoise
(2015)
*Tropical roots as approximations to eigenvalues of matrix polynomials.*
SIAM Journal on Matrix Analysis and Applications, 36 (1).
pp. 138-157.

Norburn, Sean and Silvester, David J.
(2001)
*Fourier analysis of stabilised Q1-Q1 mixed finite element approximation.*
SIAM Journal on Numerical Analysis, 39 (3).
pp. 817-833.
ISSN 0036-1429

Powell, Catherine
(2005)
*Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems.*
IMA Journal of Numerical Analysis, 25 (4).
pp. 783-796.
ISSN 1464-3642

Powell, Catherine and Silvester, David
(2003)
*Black-Box Preconditioning for Self-Adjoint Elliptic PDEs.*
Lecture Notes in Computational Science and Engineering (Springer), 35.
pp. 268-285.
ISSN 3-540-40887-8

Powell, Catherine and Silvester, David
(2003)
*Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems.*
SIAM Journal on Matrix Analysis and Applications, 25 (3).
pp. 718-738.
ISSN 0895-4798

Powell, Catherine E. and Silvester, David J.
(2012)
*Preconditioning steady-state Navier-Stokes equations with random data.*
SIAM Journal on Scientific Computing (submitted).
(Submitted)

Shardlow, Tony
(2003)
*Weak convergence of a numerical method for a stochastic heat equations.*
BIT Numerical Mathematics, 43 (1).
pp. 179-193.
ISSN 0385-6984

Shardlow, Tony and Yan, Yubin
(2006)
*Geometric ergodicity for dissipative particle dynamics.*
Stochastics and Dynamics, 6 (1).
pp. 123-154.
ISSN 0219-4937

Silvester, David and Elman, Howard and Kay, David and Wathen, Andrew
(2001)
*Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow.*
Journal of Computational and Applied Mathematics, 128 (1-2).
pp. 261-279.
ISSN 0377-0427

Silvester, David and Liao, Qifeng
(2013)
*Robust Stabilized Stokes Approximation Methods for Highly Stretched Grids.*
IMA Journal of Numerical Analysis, 33.
pp. 413-431.
ISSN 0272-4979

Silvester, David and Mihajlovic, Milan D.
(2004)
*A Black-Box Multigrid Preconditioner for the Biharmonic Equation.*
BIT Numerical Mathematics, 44 (1).
pp. 151-163.
ISSN 1572-9125

Silvester, David J. and Simoncini, Valeria
(2011)
*An Optimal Iterative Solver for Symmetric Indefinite Systems stemming from Mixed Approximation.*
ACM Transactions on Mathematical Software, 37 (4).
ISSN 1749-9097

Soleimani, M. and Powell, C.E. and Polydorides, N.
(2005)
*Improving the forward solver for the complete electrode model in EIT using algebraic multigrid.*
IEEE Transactions on Medical Imaging, 24 (5).
pp. 577-584.
ISSN 0278-0062

Soleimani, Manuchehr and Dorn, Oliver and Lionheart, William RB
(2006)
*A Narrowband Level Set Method Applied to EIT in Brain for Cryosurgery Monitoring.*
IEEE Transactions on Biomedical Engineering, 53 (11).
2257- 2264.
ISSN 0018-9294

Stephenson, David R and Davidson, John L and Lionheart, William R.B. and Grieve, Bruce D and York, Trevor A
(2005)
*Comparison of 3D Image Reconstruction Techniques using Real Electrical Impedance Measurement Data.*
Proceedings of the 4th World Congress on Industrial Process Tomography.
pp. 643-650.

Tang, D.F. and Dobbie, S.
(2011)
*iGen 0.1: a program for the automated generation of models and parameterisations.*
Geoscientific Model Development, 4 (3).
pp. 785-795.

Tang, D.F. and Dobbie, S.
(2011)
*iGen 0.1: the automated generation of a parameterisation of entrainment in marine stratocumulus.*
Geoscientific Model Development, 4 (3).
pp. 797-807.

Thompson, William M and Lionheart, William RB
(2014)
*GPU Accelerated Structure-Exploiting Matched Forward and Back Projection for Algebraic Iterative Cone Beam CT Reconstruction.*
The Third International Conference on Image Formation in X-Ray Computed Tomography, 22-25 June 2014, Salt Lake City, Utah, USA..

Thompson, William M and Lionheart, William RB and Morton, Edward J
(2012)
*High-speed Dynamic Imaging with a Real Time Tomography System.*
Proceedings of the Second International Conference on Image Formation in X-Ray Computed Tomography.
pp. 99-102.

Tisseur, Françoise and Dedieu, Jean-Pierre
(2003)
*Perturbation theory for homogeneous polynomial eigenvalue problems.*
Linear Algebra and its Applications, 385 (1).
pp. 71-74.
ISSN 0024-3795

Tisseur, F and Dongarra, J
(1999)
*A Parallel Divide and Conquer Algorithm for the Symmetric Eigenvalue Problem on Distributed Memory Architectures.*
SIAM Journal on Scientific Computing, 20 (6).
pp. 2223-2236.
ISSN 1095-7197

Tisseur, Françoise
(2003)
*A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems.*
SIAM Journal on Matrix Analysis and Applications, 24 (3).
pp. 877-897.
ISSN 1095-7162

Tisseur, Françoise
(1997)
*Parallel Implementation of the Yau and Lu Method for Eigenvalue Computation.*
International Journal of Supercomputer Applications and High Performance Computing, 11 (3).
pp. 197-204.
ISSN 1741-2846

Tisseur, Françoise
(2001)
*Stability of Structured Hamiltonian Eigensolvers.*
SIAM Journal on Matrix Analysis and Applications, 23 (1).
pp. 103-125.
ISSN 1095-7162

Tisseur, Françoise
(2004)
*Tridiagonal-diagonal reduction of symmetric indefinite pairs.*
SIAM Journal On Matrix Analysis And Applications, 26 (1).
pp. 215-232.
ISSN 0895-4798

Tisseur, Françoise and Higham, Nicholas J.
(2001)
*Structured pseudospectra for polynomial eigenvalue problems, with applications.*
SIAM Journal On Matrix Analysis And Applications, 23 (1).
pp. 187-208.
ISSN 1095-7162

Tisseur, Françoise and Meerbergen, Karl
(2001)
*The quadratic eigenvalue problem.*
SIAM Review, 43 (2).
pp. 235-286.
ISSN 1095-7200

Tisseur, Françoise and Zaballa, Ion
(2013)
*Triangularizing Quadratic Matrix Polynomials.*
SIAM J. MATRIX ANAL. APPL., 34 (2).
pp. 312-337.
ISSN 1749-9097

Tisseur, Françoise Tisseur
(2001)
*Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems.*
SIAM Journal on Matrix Analysis and Applications, 22 (4).
pp. 1038-1057.
ISSN 1095-7162

Topping, David and Barley, Mark and Bane, Michael and Higham, Nicholas J. and Aumont, Berbard and Dingle, Nicholas and McFiggans, Gordon
(2016)
*UManSysProp V1.0: An Online and Open-Source Facility for Molecular Property Prediction and Atmospheric Aerosol Calculations.*
Geoscientific Model Development, 9 (2).
pp. 899-914.

Trefethen, Anne and Higham, Nicholas J. and Duff, Iain and Coveney, Peter
(2009)
*Developing a High-Performance Computing/Numerical Analysis
Roadmap.*
International Journal of High Performance Computing Applications, 23 (4).
423- 426.
ISSN 1094-3420

Trefethen, Lloyd N. and Betcke, Timo
(2005)
*Computed eigenmodes of planar regions.*
AMS Contemporary Mathematics.
(In Press)

Zhang, Weijian and Higham, Nicholas J.
(2016)
*Matrix Depot: An Extensible Test Matrix Collection for Julia.*
PeerJ Computer Science, 2.
e58.
ISSN 2167-8359

## MIMS Preprint

Al-Ammari, Maha and Tisseur, Francoise
(2011)
*Standard Triples of Structured Matrix Polynomials.*
[MIMS Preprint]

Al-Ammari, Maha and Tisseur, Francoise
(2011)
*Standard Triples of Structured Matrix Polynomials.*
[MIMS Preprint]

Akian, Marianne and Gaubert, Stéphane and Sharify, Meisam
(2013)
*Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots.*
[MIMS Preprint]

Al-Mohy, Awad and Higham, Nicholas J. and Liu, Xiaobo
(2021)
*Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative.*
[MIMS Preprint]

Al-Mohy, Awad H.
(2015)
*An Efficient Bound for the Condition Number of the Matrix Exponential.*
[MIMS Preprint]

Al-Mohy, Awad H.
(2011)
*A More Accurate Briggs Method for the Logarithm.*
[MIMS Preprint]

Al-Mohy, Awad H.
(2017)
*A New Algorithm for Computing the Actions of Trigonometric
and Hyperbolic Matrix Functions.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2009)
*The Complex Step Approximation to the Fréchet Derivative of a Matrix Function.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2009)
*The Complex Step Approximation to the Fréchet Derivative of a Matrix Function.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2010)
*Computing the Action of the Matrix Exponential,
with an Application to Exponential Integrators.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2010)
*Computing the Action of the Matrix Exponential,
with an Application to Exponential Integrators.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2011)
*Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2011)
*Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2009)
*A New Scaling and Squaring Algorithm for the Matrix Exponential.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J.
(2009)
*A New Scaling and Squaring Algorithm for the Matrix Exponential.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2012)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2012)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2012)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2014)
*New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2014)
*New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.*
[MIMS Preprint]

Amelunxen, Dennis and Lotz, Martin
(2016)
*Average-case complexity without the black swans.*
[MIMS Preprint]

Amelunxen, Dennis and Lotz, Martin
(2014)
*Gordon's inequality and condition numbers in conic optimization.*
[MIMS Preprint]

Amelunxen, Dennis and Lotz, Martin and Mccoy, Michael B. and Tropp, Joel A.
(2013)
*Living on the edge: A geometric theory of phase transitions in convex optimization.*
[MIMS Preprint]

Amestoy, Patrick and Buttari, Alfredo and Higham, Nicholas J. and L'Excellent, Jean-Yves and Mary, Theo and Vieublé, Bastien
(2022)
*Combining sparse approximate factorizations with mixed precision iterative refinement.*
[MIMS Preprint]

Amestoy, Patrick and Buttari, Alfredo and Higham, Nicholas J. and L'Excellent, Jean-Yves and Mary, Theo and Vieublé, Bastien
(2021)
*Five-precision GMRES-based Iterative Refinement.*
[MIMS Preprint]
(Submitted)

Amestoy, Patrick and Buttari, Alfredo and L'Excellent, Jean-Yves and Mary, Theo
(2018)
*Bridging the gap between flat and hierarchical low-rank
matrix formats: the multilevel BLR format.*
[MIMS Preprint]
(In Press)

Amexlunxen, Dennis and Lotz, Martin and Walvin, Jake
(2017)
*Effective Condition Number Bounds for Convex Regularization.*
[MIMS Preprint]

Amparan, A. and Dopico, F.M. and Marcaida, S. and Zaballa, I.
(2016)
*Strong linearizations of rational matrices.*
[MIMS Preprint]

Andreas, Frommer and Stefan, Güttel and Marcel, Schweitzer
(2014)
*Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices.*
[MIMS Preprint]

Andreas, Frommer and Stefan, Güttel and Marcel, Schweitzer
(2014)
*Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices.*
[MIMS Preprint]

Andreas, Frommer and Stefan, Güttel and Marcel, Schweitzer
(2015)
*FUNM_QUAD: An implementation of a stable quadrature-based restarted Arnoldi method for matrix functions.*
[MIMS Preprint]

Andrew, Robert and Dingle, Nicholas J.
(2012)
*Implementing QR Factorization Updating Algorithms on GPUs.*
[MIMS Preprint]

Anguas, Luis M. and Dopico, Froilán M. and Hollister, Richard and Mackey, D. Steven
(2018)
*Van Dooren's Index Sum Theorem
and Rational Matrices with Prescribed Structural Data.*
[MIMS Preprint]

Anzt, Hartwig and Dongarra, Jack and Flegar, Goran and Higham, Nicholas J. and Quintana-Orti, Enrique S.
(2017)
*Adaptive Precision in Block-Jacobi Preconditioning for Iterative Sparse Linear System Solvers.*
[MIMS Preprint]
(In Press)

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J.
(2015)
*Matching Exponential-Based and Resolvent-Based Centrality Measures.*
[MIMS Preprint]

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J.
(2015)
*Matching Exponential-Based and Resolvent-Based Centrality Measures.*
[MIMS Preprint]

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J.
(2015)
*Matching Exponential-Based and Resolvent-Based Centrality Measures.*
[MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J.
(2016)
*Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms.*
[MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J.
(2016)
*Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms.*
[MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J.
(2013)
*The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential.*
[MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J.
(2013)
*The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential.*
[MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J.
(2013)
*The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential.*
[MIMS Preprint]

*The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential.*
[MIMS Preprint]

Arrigo, Francesca and Grindrod, Peter and Higham, Desmond J. and Noferini, Vanni
(2017)
*On the exponential generating function for non-backtracking walks.*
[MIMS Preprint]

Arrigo, Francesca and Higham, Desmond J. and Noferini, Vanni
(2018)
*Non-backtracking PageRank.*
[MIMS Preprint]

Arslan, Bahar and Noferini, Vanni and Tisseur, Francoise
(2017)
*The Structured Condition Number of a Differentiable Map Between Matrix Manifolds, with Applications.*
[MIMS Preprint]

Arter, Wayne and Morgan, J. Guy and Relton, Samuel D. and Higham, Nicholas J.
(2015)
*Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events.*
[MIMS Preprint]

Arter, Wayne and Morgan, J. Guy and Relton, Samuel D. and Higham, Nicholas J.
(2015)
*Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events.*
[MIMS Preprint]

Baboulin, Marc and Dongarra, Jack and Gratton, Serge and Langou, Julien
(2007)
*Computing the Conditioning of the Components of a Linear Least Squares Solution.*
[MIMS Preprint]

Baboulin, Marc and Dongarra, Jack and Tomov, Stanimire
(2009)
*Some Issues in Dense Linear Algebra for
Multicore and Special Purpose Architectures.*
[MIMS Preprint]

Barnett, A. H. and Betcke, T.
(2007)
*Stability and Convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains.*
[MIMS Preprint]

Barnett, A. H. and Betcke, T.
(2007)
*Stability and Convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains.*
[MIMS Preprint]

Barnett, Alex H. and Betcke, Timo
(2007)
*Quantum mushroom billiards.*
[MIMS Preprint]

Barnett, Alex H. and Betcke, Timo
(2006)
*Quantum mushroom billiards.*
[MIMS Preprint]

Berljafa, Mario and Elsworth, Steven and Güttel, Stefan
(2014)
*A Rational Krylov Toolbox for MATLAB.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2014)
*Generalized rational Krylov decompositions with an application to rational approximation.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2014)
*Generalized rational Krylov decompositions with an application to rational approximation.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2016)
*Parallelization of the rational Arnoldi algorithm.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2016)
*Parallelization of the rational Arnoldi algorithm.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2015)
*The RKFIT algorithm for nonlinear rational approximation.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2015)
*The RKFIT algorithm for nonlinear rational approximation.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2014)
*A Rational Krylov Toolbox for MATLAB.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2014)
*A Rational Krylov Toolbox for MATLAB.*
[MIMS Preprint]

Berljafa, Mario and Güttel, Stefan
(2014)
*A Rational Krylov Toolbox for MATLAB.*
[MIMS Preprint]

Bespalov, Alex and Silvester, David
(2015)
*Efficient adaptive stochastic Galerkin methods for parametric operator equations.*
[MIMS Preprint]

Bespalov, Alexei and Heuer, Norbert
(2010)
*Natural hp-BEM for the electric field integral equation with singular solutions.*
[MIMS Preprint]

Betcke, T.
(2007)
*Optimal scaling of generalized and polynomial eigenvalue problems.*
[MIMS Preprint]

Betcke, T.
(2007)
*Optimal scaling of generalized and polynomial eigenvalue problems.*
[MIMS Preprint]

Betcke, Timo
(2006)
*A GSVD formulation of a domain decomposition method for planar eigenvalue problems.*
[MIMS Preprint]

Betcke, Timo
(2007)
*The Generalized Singular Value Decomposition and the Method of Particular Solutions.*
[MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Negri Porzio, Gian Maria and Schröder, Christian and Tisseur, Françoise
(2011)
*NLEVP: A Collection of Nonlinear Eigenvalue Problems.
Users' Guide.*
[MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise
(2008)
*NLEVP: A Collection of Nonlinear Eigenvalue Problems.*
[MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise
(2010)
*NLEVP: A Collection of Nonlinear Eigenvalue Problems.*
[MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise
(2011)
*NLEVP: A Collection of Nonlinear Eigenvalue Problems.*
[MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise
(2010)
*NLEVP: A Collection of Nonlinear Eigenvalue Problems.
Users' Guide.*
[MIMS Preprint]

Betcke, Timo and Kressner, Daniel
(2009)
*Perturbation, Computation and Refinement of Invariant Subspaces for Matrix Polynomials.*
[MIMS Preprint]

Bethune, Iain and Bull, J. Mark and Dingle, Nicholas J. and Higham, Nicholas J.
(2011)
*Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations.*
[MIMS Preprint]

Bethune, Iain and Bull, J. Mark and Dingle, Nicholas J. and Higham, Nicholas J.
(2012)
*Performance analysis of asynchronous Jacobi's method
implemented in MPI, SHMEM and OpenMP.*
[MIMS Preprint]

Blanchard, Pierre and Higham, Desmond J. and Higham, Nicholas J.
(2019)
*Accurately Computing the Log-Sum-Exp and Softmax Functions.*
[MIMS Preprint]

Borsdorf, Rudiger and Higham, Nicholas J.
(2008)
*A Preconditioned Newton Algorithm for the Nearest Correlation Matrix.*
[MIMS Preprint]

Borsdorf, Rüdiger
(2012)
*An Algorithm For Finding the Optimal Embedding of a Symmetric Matrix into the Set of Diagonal Matrices.*
[MIMS Preprint]

Borsdorf, Rüdiger and Higham, Nicholas J. and Raydan, Marcos
(2009)
*Computing a Nearest Correlation Matrix with Factor Structure.*
[MIMS Preprint]

Borsdorf, Rüdiger and Higham, Nicholas J. and Raydan, Marcos
(2009)
*Computing a Nearest Correlation Matrix with Factor Structure.*
[MIMS Preprint]

Bosilca, G and Chen, Z and Dongarra, J and Langou, J
(2007)
*Recovery Patterns for Iterative Methods in a Parallel Unstable Environment.*
[MIMS Preprint]

Bosilca, George and Delmas, Remi and Dongarra, Jack and Langou, Julien
(2009)
*Algorithmic Based Fault Tolerance Applied to High Performance Computing.*
[MIMS Preprint]

Buckwar, Evelyn and Kuske, Rachel and Mohammed, Salah-Eldin and Shardlow, Tony
(2006)
*The Weak Euler Scheme for Stochastic
Differential Delay Equations.*
[MIMS Preprint]

Buckwar, Evelyn and Kuske, Rachel and Mohammed, Salah-Eldin and Shardlow, Tony
(2006)
*The Weak Euler Scheme for Stochastic
Differential Delay Equations.*
[MIMS Preprint]

Buttari, Alfredo and Dongarra, Jack and Kurzak, Jakub
(2007)
*Limitations of the PlayStation 3 for High Performance Cluster Computing.*
[MIMS Preprint]

Buttari, Alfredo and Dongarra, Jack and Kurzak, Jakub and Luszczek, Piotr and Tomov, Stanimire
(2007)
*Using Mixed Precision for Sparse Matrix Computations to Enhance the Performance while Achieving 64-bit Accuracy.*
[MIMS Preprint]

Buttari, Alfredo and Dongarra, Jack and Langou, Julie and Langou, Julien and Luszczek, Piotr and Kurzak, Jakub
(2007)
*Mixed Precision Iterative Refinement Techniques for the Solution of Dense Linear Systems.*
[MIMS Preprint]

Buttari, Alfredo and Langou, Julien and Kurzak, Jakub and Dongarra, Jack
(2007)
*A Class of Parallel Tiled Linear Algebra Algorithms for Multicore Architectures.*
[MIMS Preprint]

Butters, T D and Güttel, S and Shapiro, J L and Sharpe, T J
(2015)
*Automatic real-time fault detection for industrial assets using metasensors.*
[MIMS Preprint]

Butters, T D and Güttel, S and Shapiro, J L and Sharpe, T J
(2014)
*Statistical cluster analysis and visualisation for alarm management configuration.*
[MIMS Preprint]

Butters, Timothy D. and Güttel, Stefan and Shapiro, Jonathan L.
(2015)
*Detecting and Reducing Redundancy in Alarm Networks.*
[MIMS Preprint]

Butters, Timothy D. and Güttel, Stefan and Shapiro, Jonathan L.
(2015)
*Detecting and Reducing Redundancy in Alarm Networks.*
[MIMS Preprint]

Byers, Ralph and Mackey, D. Steven and Mehrmann, Volker and Xu, Hongguo
(2008)
*Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems.*
[MIMS Preprint]

Börner, Ralph-Uwe and Ernst, Oliver G. and Güttel, Stefan
(2014)
*Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods.*
[MIMS Preprint]

Börner, Ralph-Uwe and Ernst, Oliver G. and Güttel, Stefan
(2014)
*Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods.*
[MIMS Preprint]

Börner, Ralph-Uwe and Ernst, Oliver G. and Güttel, Stefan
(2014)
*Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods.*
[MIMS Preprint]

Carson, Erin and Higham, Nicholas J.
(2017)
*A New Analysis of Iterative Refinement and its Application to
Accurate Solution of Ill-Conditioned Sparse Linear Systems.*
[MIMS Preprint]

Carson, Erin and Higham, Nicholas J. and Pranesh, Srikara
(2020)
*Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems.*
[MIMS Preprint]

Chahlaoui, Younes
(2011)
*An interview with Paul Van Dooren.*
[MIMS Preprint]

Chahlaoui, Younes and Korovina, Margarita
(2014)
*CICADA Collection.*
[MIMS Preprint]

Chahlaoui, Younes and Van Dooren, Paul
(2008)
*First/second order transformation system.
Tentative proof.*
[MIMS Preprint]

Connolly, Michael P. and Higham, Nicholas J.
(2022)
*Probabilistic Rounding Error Analysis of Householder QR Factorization.*
[MIMS Preprint]
(Submitted)

Connolly, Michael P. and Higham, Nicholas J. and Mary, Theo
(2020)
*Stochastic Rounding and its Probabilistic Backward Error Analysis.*
[MIMS Preprint]

Connolly, Michael P. and Higham, Nicholas J. and Pranesh, Srikara
(2022)
*Randomized Low Rank Matrix Approximation: Rounding Error Analysis and a Mixed Precision Algorithm.*
[MIMS Preprint]

Corless, Robert M. and Ding, Hui and Higham, Nicholas J. and Jeffrey, David J.
(2007)
*The Solution of S exp(S) = A is Not Always the Lambert W Function of A.*
[MIMS Preprint]

Cotter, Colin and Cotter, Simon and Russell, Paul
(2015)
*Parallel Adaptive Importance Sampling.*
[MIMS Preprint]

Cotter, Simon
(2015)
*Constrained Approximation of Effective Generators for Multiscale Stochastic Reaction Networks and Application to Conditioned Path Sampling.*
[MIMS Preprint]

Cotter, Simon and Erban, Radek
(2014)
*Error Analysis of Diffusion Approximation
Methods for Multiscale Systems in Reaction
Kinetics.*
[MIMS Preprint]

Croci, Matteo and Fasi, Massimiliano and Higham, Nicholas J. and Mary, Theo and Mikaitis, Mantas
(2021)
*Stochastic Rounding: Implementation, Error Analysis, and Applications.*
[MIMS Preprint]
(Submitted)

Crowder, Adam J and Powell, Catherine E
(2017)
*CBS Constants and Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan and Mackey, D. Steven
(2011)
*Fiedler companion linearizations for rectangular matrix polynomials.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan and Mackey, D. Steven and Perovic, Vasilije
(2017)
*Quadratic Realizability of Palindromic Matrix Polynomials.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven
(2009)
*Fiedler Companion Linearizations and the Recovery of Minimal Indices.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven
(2009)
*Fiedler Companion Linearizations and the Recovery of Minimal Indices.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven
(2010)
*Palindromic Companion Forms for Matrix Polynomials
of Odd Degree.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven
(2013)
*Spectral equivalence of matrix polynomials
and the index sum theorem.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven
(2010)
*Structured Linearizations for Palindromic Matrix Polynomials of Odd Degree.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Frolian M. and Mackey, D. Steven
(2009)
*Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Frolian M. and Mackey, D. Steven
(2009)
*Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices.*
[MIMS Preprint]

De Teran, Fernando and Lippert, Ross and Nakatsukasa, Yuji and Noferini, Vanni
(2013)
*Flanders' theorem for many matrices under commutativity assumptions.*
[MIMS Preprint]

De Teran, Fernando and Nakatsukasa, Yuji and Noferini, Vanni
(2013)
*Flandersâ�� theorem for many matrices under commutativity assumptions.*
[MIMS Preprint]

De Terán, Fernando and Dopico, Froilán M. and Pérez, Javier
(2014)
*Technical report on backward stability of polynomial root-finding using Fiedler companion matrices.*
[MIMS Preprint]

Deadman, Edvin
(2014)
*Estimating the Condition Number of f(A)b.*
[MIMS Preprint]

Deadman, Edvin
(2014)
*Estimating the Condition Number of f(A)b.*
[MIMS Preprint]

Deadman, Edvin and Higham, Nicholas J.
(2014)
*Testing matrix function algorithms using identities.*
[MIMS Preprint]

Deadman, Edvin and Higham, Nicholas J.
(2014)
*Testing matrix function algorithms using identities.*
[MIMS Preprint]

Deadman, Edvin and Higham, Nicholas J.
(2014)
*Testing matrix function algorithms using identities.*
[MIMS Preprint]

Deadman, Edvin and Higham, Nicholas J. and Ralha, Rui
(2012)
*Blocked Schur Algorithms for Computing the Matrix Square Root.*
[MIMS Preprint]

Deadman, Edvin and Higham, Nicholas J. and Ralha, Rui
(2012)
*A Recursive Blocked Schur Algorithm for Computing the Matrix Square Root.*
[MIMS Preprint]

Deadman, Edvin and Relton, Samuel
(2015)
*Taylor's Theorem for Matrix Functions with Applications to Condition Number Estimation.*
[MIMS Preprint]

Deadman, Edvin and Relton, Samuel
(2015)
*Taylor's Theorem for Matrix Functions with Applications to Condition Number Estimation.*
[MIMS Preprint]

Desai, Naeem M and Lionheart, William RB
(2015)
*An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data.*
[MIMS Preprint]

Dingle, Nicholas
(2011)
*GPU-based solution of Continuous Time Markov Chains using CUSP.*
[MIMS Preprint]

Dingle, Nicholas J.
(2013)
*Inexact Sparse Matrix-Vector Products in the Calculation of Passage Time Distributions in Large Semi-Markov Models.*
[MIMS Preprint]

Dingle, Nicholas J. and Higham, Nicholas J.
(2011)
*Reducing the Influence of Tiny Normwise Relative Errors on
Performance Profiles.*
[MIMS Preprint]

Dingle, Nicholas J. and Higham, Nicholas J.
(2011)
*Reducing the Influence of Tiny Normwise Relative Errors on
Performance Profiles.*
[MIMS Preprint]

Dmytryshyn, Andrii and Fasi, Massimiliano and Gulliksson, Mårten
(2021)
*The dynamical functional particle method for multi-term linear matrix equations.*
[MIMS Preprint]

Dongarra, Jack and Golub, G and Moler, C and Moore, K
(2007)
*Netlib and NA-Net: building a scientific computing community.*
[MIMS Preprint]

Dongarra, Jack and Langou, Julien
(2009)
*The Problem with the Linpack Benchmark 1.0 Matrix Generator.*
[MIMS Preprint]

Dongarra, Jack and Luszczek, Piotr
(2007)
*How Elegant Code Evolves with Hardware: The Case of Gaussian Elimination.*
[MIMS Preprint]

Dopico, Froilán M. and Lawrence, Piers W. and Pérez, Javier and Van Dooren, Paul
(2016)
*Block Kronecker Linearizations of Matrix Polynomials and their Backward Errors.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2016)
*Compressing variable-coefficient exterior Helmholtz problems via RKFIT.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2016)
*Compressing variable-coefficient exterior Helmholtz problems via RKFIT.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2021)
*Model order reduction of layered waveguides via rational Krylov fitting.*
[MIMS Preprint]
(Submitted)

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2013)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2013)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2013)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
[MIMS Preprint]

Elman, Howard and Mihajlovic, Milan and Silvester, David
(2010)
*Fast iterative solvers for buoyancy driven flow problems.*
[MIMS Preprint]

Elman, Howard C. and Ramage, Alison and Silvester, David J.
(2012)
*IFISS: A computational laboratory for investigating incompressible flow
problems.*
[MIMS Preprint]

Elman, Howard C. and Silvester, David J.
(2017)
*Collocation methods for exploring perturbations in linear stability analysis.*
[MIMS Preprint]

Elsworth, Steven and Güttel, Stefan
(2019)
*The block rational Arnoldi method.*
[MIMS Preprint]

Farrell, Patricio and Pestana, Jennifer
(2014)
*Block Preconditioners for Linear Systems Arising from Multiscale Collocation with Compactly Supported RBFs.*
[MIMS Preprint]

Farrell, Patricio and Pestana, Jennifer
(2014)
*Block preconditioners for linear systems arising from multilevel RBF collocation.*
[MIMS Preprint]

Fasi, Massimiliano
(2018)
*Optimality of the Paterson-Stockmeyer method for evaluating matrix polynomials and rational matrix functions.*
[MIMS Preprint]
(Submitted)

Fasi, Massimiliano and Higham, Nicholas J.
(2018)
*An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential.*
[MIMS Preprint]
(In Press)

Fasi, Massimiliano and Higham, Nicholas J.
(2020)
*Generating extreme-scale matrices with specified singular values or condition numbers.*
[MIMS Preprint]
(Unpublished)

Fasi, Massimiliano and Higham, Nicholas J.
(2020)
*Matrices with Tunable Infinity-Norm Condition Number and No Need for Pivoting in LU Factorization.*
[MIMS Preprint]
(Unpublished)

Fasi, Massimiliano and Higham, Nicholas J. and Iannazzo, Bruno
(2014)
*An Algorithm for the Matrix Lambert W Function.*
[MIMS Preprint]

Fasi, Massimiliano and Higham, Nicholas J. and Iannazzo, Bruno
(2014)
*An Algorithm for the Matrix Lambert W Function.*
[MIMS Preprint]

Fasi, Massimiliano and Higham, Nicholas J. and Liu, Xiaobo
(2022)
*Computing the square root of a low-rank perturbation of the scaled identity matrix.*
[MIMS Preprint]

Fasi, Massimiliano and Higham, Nicholas J. and Lopez, Florent and Mary, Theo and Mikaitis, Mantas
(2022)
*Matrix Multiplication in Multiword Arithmetic: Error Analysis and Application to GPU Tensor Cores.*
[MIMS Preprint]
(Submitted)

Fasi, Massimiliano and Higham, Nicholas J. and Mikaitis, Mantas and Pranesh, Srikara
(2020)
*Numerical Behavior of NVIDIA Tensor Cores.*
[MIMS Preprint]
(In Press)

Fasi, Massimiliano and Iannazzo, Bruno
(2018)
*Computing primary solutions of equations involving
primary matrix functions.*
[MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno
(2016)
*Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector.*
[MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno
(2016)
*Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector.*
[MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno
(2019)
*Substitution algorithms for rational matrix equations.*
[MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno
(2020)
*The dual inverse scaling and squaring algorithm for the matrix logarithm.*
[MIMS Preprint]
(Unpublished)

Fasi, Massimiliano and Mikaitis, Mantas
(2020)
*Algorithms for stochastically rounded elementary arithmetic operations in IEEE 754 floating-point arithmetic.*
[MIMS Preprint]

Fasi, Massimiliano and Mikaitis, Mantas
(2020)
*CPFloat: A C library for simulating low-precision arithmetic.*
[MIMS Preprint]
(Unpublished)

Fassbender, H. and Mackey, D. S. and Mackey, N. and Schroder, C.
(2009)
*Structured Polynomial Eigenproblems Related to Time-Delay Systems.*
[MIMS Preprint]

Frommer, Andreas and Güttel, Stefan and Schweitzer, Marcel
(2013)
*Efficient and stable Arnoldi restarts for matrix functions based on quadrature.*
[MIMS Preprint]

Frommer, Andreas and Güttel, Stefan and Schweitzer, Marcel
(2013)
*Efficient and stable Arnoldi restarts for matrix functions based on quadrature.*
[MIMS Preprint]

Frommer, Andreas and Güttel, Stefan and Schweitzer, Marcel
(2013)
*Efficient and stable Arnoldi restarts for matrix functions based on quadrature.*
[MIMS Preprint]

Furnival, Darran and Elman, Howard and Powell, Catherine
(2008)
*H(div) Preconditioning for a Mixed Finite Element Formulation of the Stochastic Diffusion Problem.*
[MIMS Preprint]

Gander, Martin J. and Güttel, Stefan and Petcu, Madalina
(2017)
*A Nonlinear ParaExp Algorithm.*
[MIMS Preprint]

Garvey, Seamus D. and Tisseur, Francoise and Wang, Shujuan
(2022)
*A Parametrization of Structure-Preserving Transformations for Matrix Polynomials.*
[MIMS Preprint]

Gedicke, Joscha and Khan, Arbaz
(2017)
*Arnold-Winther Mixed Finite Elements for Stokes Eigenvalue Problems.*
[MIMS Preprint]

Georgescu, Dan I. and Higham, Nicholas J. and Peters, Gareth W.
(2017)
*Explicit Solutions to Correlation Matrix Completion Problems, with an Application to Risk Management and Insurance.*
[MIMS Preprint]

Gilsing, Hagen and Shardlow, Tony
(2006)
*SDELab: stochastic differential equations with MATLAB.*
[MIMS Preprint]

Gordon, Andrew D. and Powell, Catherine E.
(2010)
*Solving Stochastic Collocation Systems with Algebraic Multigrid.*
[MIMS Preprint]

Gosea, Ion Victor and Güttel, Stefan
(2021)
*Algorithms for the rational approximation of matrix-valued functions.*
[MIMS Preprint]

Grammont, Laurence and Higham, Nicholas J. and Tisseur, Françoise
(2009)
*A Framework for Analyzing Nonlinear Eigenproblems
and Parametrized Linear Systems.*
[MIMS Preprint]

Griffiths, David and Silvester, David
(2011)
*Unstable modes of the Q1-P0 element.*
[MIMS Preprint]

Grigori, Laura and Jacquelin, Mathias and Khabou, Amal
(2013)
*Multilevel communication optimal LU and QR factorizations for hierarchical platforms.*
[MIMS Preprint]

Grigori, Laura and Jacquelin, Mathias and Khabou, Amal
(2013)
*Multilevel communication optimal LU and QR factorizations for hierarchical platforms.*
[MIMS Preprint]

Grigori, Laura and Jacquelin, Mathias and Khabou, Amal
(2013)
*Performance predictions of multilevel communication optimal LU and QR factorizations on hierarchical platforms.*
[MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J.
(2005)
*Iterative Solution of a Nonsymmetric Algebraic Riccati Equation.*
[MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J.
(2006)
*Iterative Solution of a Nonsymmetric Algebraic Riccati Equation.*
[MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J.
(2006)
*A Schur-Newton Method for the Matrix p'th Root and its Inverse.*
[MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise
(2007)
*Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise
(2007)
*Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise
(2008)
*An Improved Arc Algorithm for Detecting Definite Hermitian Pairs.*
[MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise
(2008)
*An Improved Arc Algorithm for Detecting Definite Hermitian Pairs.*
[MIMS Preprint]

Güttel, Stefan and Klein, Georges
(2013)
*Efficient high-order rational integration and deferred correction with equispaced data.*
[MIMS Preprint]

Güttel, Stefan and Knizhnerman, Leonid
(2012)
*A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions.*
[MIMS Preprint]

Güttel, Stefan and Negri Porzio, Gian Maria and Tisseur, Francoise
(2020)
*Robust rational approximations of nonlinear eigenvalue problems.*
[MIMS Preprint]
(Submitted)

Güttel, Stefan and Pearson, John W.
(2016)
*A rational deferred correction approach to PDE-constrained optimization.*
[MIMS Preprint]

Güttel, Stefan and Pearson, John W.
(2016)
*A rational deferred correction approach to PDE-constrained optimization.*
[MIMS Preprint]

Güttel, Stefan and Pearson, John W.
(2016)
*A rational deferred correction approach to parabolic optimal control problems.*
[MIMS Preprint]

Güttel, Stefan and Pearson, John W.
(2020)
*A spectral-in-time Newton-Krylov method for nonlinear PDE-constrained optimization.*
[MIMS Preprint]

Güttel, Stefan and Pestana, Jen
(2013)
*Some observations on weighted GMRES.*
[MIMS Preprint]

Güttel, Stefan and Polizzi, Eric and Tang, Peter and Viaud, Gautier
(2014)
*Zolotarev quadrature rules and load balancing for the FEAST eigensolver.*
[MIMS Preprint]

Güttel, Stefan and Polizzi, Eric and Tang, Peter and Viaud, Gautier
(2014)
*Zolotarev quadrature rules and load balancing for the FEAST eigensolver.*
[MIMS Preprint]

Güttel, Stefan and Schweitzer, Marcel
(2020)
*A comparison of limited-memory Krylov methods for Stieltjes functions of Hermitian matrices.*
[MIMS Preprint]

Güttel, Stefan and Tisseur, Françoise
(2017)
*The Nonlinear Eigenvalue Problem.*
[MIMS Preprint]

Güttel, Stefan and Tisseur, Françoise
(2017)
*The Nonlinear Eigenvalue Problem.*
[MIMS Preprint]

Güttel, Stefan and Van Beeumen, Roel and Meerbergen, Karl and Michiels, Wim
(2013)
*NLEIGS: A class of robust fully rational Krylov methods for nonlinear eigenvalue problems.*
[MIMS Preprint]

Güttel, Stefan and Yuji, Nakatsukasa
(2015)
*Scaled and squared subdiagonal Padé approximation for the matrix exponential.*
[MIMS Preprint]

Hale, Nicholas and Higham, Nicholas J. and Trefethen, Lloyd N.
(2007)
*Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals.*
[MIMS Preprint]

Hammarling, Sven and Lucas, Craig
(2008)
*Updating the QR factorization and the least squares problem.*
[MIMS Preprint]

Hammarling, Sven and Munro, Christopher J. and Tisseur, Francoise
(2011)
*An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Hammarling, Sven and Munro, Christopher J. and Tisseur, Francoise
(2011)
*An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Hammarling, Sven and Munro, Christopher J. and Tisseur, Francoise
(2011)
*An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems.*
[MIMS Preprint]

*An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Hargreaves, Gareth I.
(2002)
*Interval Analysis in Matlab.*
[MIMS Preprint]

Heike, Fassbender and Javier, Perez Alvaro and Nikta, Shayanfar
(2015)
*A sparse linearization for Hermite interpolation matrix
polynomials.*
[MIMS Preprint]

Higham, Nicholas J.
(2023)
*The Power of Bidiagonal Matrices.*
[MIMS Preprint]

Higham, Desmond J. and Higham, Nicholas J. and Pranesh, Srikara
(2020)
*Random Matrices Generating Large Growth in LU Factorization with Pivoting.*
[MIMS Preprint]

Higham, Nicholas and Pranesh, Srikara
(2019)
*Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems.*
[MIMS Preprint]

Higham, Nicholas J and Noferini, Vanni
(2015)
*An algorithm to compute the polar decomposition of a 3x3 matrix.*
[MIMS Preprint]

Higham, Nicholas J.
(2007)
*Cayley, Sylvester, and Early Matrix Theory.*
[MIMS Preprint]

Higham, Nicholas J.
(2007)
*Cayley, Sylvester, and Early Matrix Theory.*
[MIMS Preprint]

Higham, Nicholas J.
(2008)
*Cholesky Factorization.*
[MIMS Preprint]

Higham, Nicholas J.
(2005)
*Functions of Matrices.*
[MIMS Preprint]

Higham, Nicholas J.
(2008)
*An Interview with Gene Golub.*
[MIMS Preprint]

Higham, Nicholas J.
(2005)
*An Interview with Peter Lancaster.*
[MIMS Preprint]

Higham, Nicholas J.
(2013)
*Matrix Computations in Basic on a Microcomputer.*
[MIMS Preprint]

Higham, Nicholas J.
(2021)
*Numerical Stability of Algorithms at Extreme Scale and Low Precisions.*
[MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin
(2014)
*A Catalogue of Software for Matrix Functions. Version 1.0.*
[MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin
(2016)
*A Catalogue of Software for Matrix Functions. Version 2.0.*
[MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin
(2016)
*A Catalogue of Software for Matrix Functions. Version 2.0.*
[MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin
(2016)
*A Catalogue of Software for Matrix Functions. Version 2.0.*
[MIMS Preprint]

Higham, Nicholas J. and Hopkins, Edvin
(2020)
*A Catalogue of Software for Matrix Functions. Version 3.0.*
[MIMS Preprint]

Higham, Nicholas J. and Kandolf, Peter
(2016)
*Computing the Action of Trigonometric and Hyperbolic Matrix Functions.*
[MIMS Preprint]

Higham, Nicholas J. and Kandolf, Peter
(2016)
*Computing the Action of Trigonometric and Hyperbolic Matrix Functions.*
[MIMS Preprint]

Higham, Nicholas J. and Lettington, Matthew C.
(2021)
*Optimizing and Factorizing the Wilson Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Lijing, Lin
(2013)
*Matrix Functions: A Short Course.*
[MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing
(2013)
*An Improved Schur--Pade Algorithm for Fractional Powers of a Matrix and their Frechet Derivatives.*
[MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing
(2013)
*An Improved Schur--PadÃ© Algorithm for Fractional Powers of a Matrix and their FrÃ©chet Derivatives.*
[MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing
(2009)
*On $p$th Roots of Stochastic Matrices.*
[MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing
(2010)
*A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing
(2010)
*A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing
(2010)
*A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Liu, Xiaobo
(2020)
*A Multiprecision Derivative-Free Schur--Parlett Algorithm for Computing Matrix Functions.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2005)
*Symmetric Linearizations for Matrix Polynomials.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2006)
*Symmetric Linearizations for Matrix Polynomials.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2006)
*Symmetric Linearizations for Matrix Polynomials.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise
(2005)
*The Conditioning of Linearizations of
Matrix Polynomials.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise
(2007)
*Definite Matrix Polynomials and their Linearization by Definite Pencils.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise
(2007)
*Definite Matrix Polynomials and their Linearization by Definite Pencils.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise
(2007)
*Definite Matrix Polynomials and their Linearization by Definite Pencils.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise
(2007)
*Notes on Hyperbolic Matrix Polynomials and Definite Linearizations.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise and Garvey, Seamus D.
(2006)
*Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise and Garvey, Seamus D.
(2007)
*Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Higham, Nicholas J. and Mary, Theo
(2021)
*Mixed Precision Algorithms in Numerical Linear Algebra.*
[MIMS Preprint]
(In Press)

Higham, Nicholas J. and Mary, Theo
(2018)
*A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error.*
[MIMS Preprint]

Higham, Nicholas J. and Mary, Theo
(2020)
*Sharper Probabilistic Backward Error Analysis for Basic Linear Algebra Kernels with Random Data.*
[MIMS Preprint]
(Submitted)

Higham, Nicholas J. and Mary, Theo
(2019)
*Solving Block Low-Rank Linear Systems by LU Factorization is Numerically Stable.*
[MIMS Preprint]
(Submitted)

Higham, Nicholas J. and Mehl, Christian and Tisseur, Françoise
(2009)
*The Canonical Generalized Polar Decomposition.*
[MIMS Preprint]

Higham, Nicholas J. and Mehl, Christian and Tisseur, Françoise
(2009)
*The Canonical Generalized Polar Decomposition.*
[MIMS Preprint]

Higham, Nicholas J. and Mikaitis, Mantas
(2021)
*Anymatrix: An Extensible MATLAB Matrix Collection.*
[MIMS Preprint]

Higham, Nicholas J. and Mikaitis, Mantas
(2021)
*Anymatrix: An Extensible MATLAB Matrix Collection. Users' Guide.*
[MIMS Preprint]

Higham, Nicholas J. and Negri Porzio, Gian Maria and Tisseur, Francoise
(2019)
*An Updated Set of Nonlinear Eigenvalue Problems.*
[MIMS Preprint]
(Unpublished)

Higham, Nicholas J. and Pranesh, Srikara
(2019)
*SIMULATING LOW PRECISION FLOATING-POINT ARITHMETIC.*
[MIMS Preprint]

Higham, Nicholas J. and Pranesh, Srikara and Zounon, Mawussi
(2018)
*Squeezing a Matrix into Half Precision, with an Application to Solving Linear Systems.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2013)
*Estimating the Condition Number of the Frechet Derivative
of a Matrix Function.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2015)
*Estimating the Largest Elements of a Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2015)
*Estimating the Largest Elements of a Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2013)
*Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number.*
[MIMS Preprint]

Higham, Nicholas J. and Strabic, Natasa and Sego, Vedran
(2014)
*Restoring Definiteness via Shrinking, with an Application to
Correlation Matrices with a Fixed Block.*
[MIMS Preprint]

Higham, Nicholas J. and Strabic, Natasa and Sego, Vedran
(2014)
*Restoring Definiteness via Shrinking, with an Application to
Correlation Matrices with a Fixed Block.*
[MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša
(2015)
*Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša
(2015)

Higham, Nicholas J. and Strabić, Nataša
(2015)
*Bounds for the Distance to the Nearest Correlation Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša
(2015)
*Bounds for the Distance to the Nearest Correlation Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša
(2015)
*Bounds for the Distance to the Nearest Correlation Matrix.*
[MIMS Preprint]

Hogg, Jonathan and Hook, James and Scott, Jennifer and Tisseur, Francoise
(2016)
*A max-plus approach to incomplete Cholesky factorization preconditioners.*
[MIMS Preprint]

Hook, James
(2014)
*Max-Plus Singular Values.*
[MIMS Preprint]

Hook, James
(2014)
*Max-Plus Singular Values.*
[MIMS Preprint]

Hook, James
(2015)
*Max-plus LU.*
[MIMS Preprint]

Hook, James and Dingle, Nick
(2013)
*Performance Analysis of Asynchronous Parallel Jacobi.*
[MIMS Preprint]

Hook, James and Pestana, Jennifer and Tisseur, Francoise
(2015)
*Max-Balancing Hungarian Scalings.*
[MIMS Preprint]

Hook, James and Pestana, Jennifer and Tisseur, Francoise and Hogg, Jonathan
(2015)
*Max-Balanced Hungarian Scalings.*
[MIMS Preprint]

Hook, James and Tisseur, Francoise
(2016)
*Incomplete LU preconditioner based on max-plus approximation of LU factorization.*
[MIMS Preprint]

Howell, G. W. and Demmel, J. W. and Fulton, C. T. and Hammarling, S. and Marmol, K.
(2006)
*Cache Efficient Bidiagonalization Using BLAS 2.5 Operators.*
[MIMS Preprint]

Hudson, Justin
(2006)
*A Review on the Numerical Solution of the 1D Euler Equations.*
[MIMS Preprint]

Hudson, Justin and Harris, David
(2006)
*Model A-EE : An Eulerian Two-Phase Gas-Solid Model.*
[MIMS Preprint]

Hudson, Justin and Harris, David
(2006)
*Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow.*
[MIMS Preprint]

Hudson, Justin and Harris, David
(2006)
*Numerical Solution of the Equations Governing 2D Eulerian Gas-Solid Two-Phase Flow.*
[MIMS Preprint]

James, Hook
(2016)
*An algorithm for computing the eigenvalues of a max-plus matrix polynomial.*
[MIMS Preprint]

James, Hook and Broomhead, Dave
(2011)
*Smoothing non-smooth systems with the moving average transformation.*
[MIMS Preprint]

Jarlebring, Elias and Fasi, Massimiliano and Ringh, Emil
(2021)
*Computational graphs for matrix functions.*
[MIMS Preprint]

Jarlebring, Elias and Güttel, Stefan
(2012)
*A spatially adaptive iterative method for a class of nonlinear operator eigenproblems.*
[MIMS Preprint]

Jarlebring, Elias and Güttel, Stefan
(2012)
*A spatially adaptive iterative method for a class of nonlinear operator eigenproblems.*
[MIMS Preprint]

Jarlebring, Elias and Güttel, Stefan
(2012)
*A spatially adaptive iterative method for a class of nonlinear operator eigenproblems.*
[MIMS Preprint]

Kandolf, Peter and Relton, Samuel D.
(2016)
*A Block Krylov Method to Compute the Action of the Frechet Derivative of a Matrix Function on a Vector with Applications to Condition Number Estimation.*
[MIMS Preprint]

Kannan, Ramaseshan
(2012)
*Efficient sparse matrix multiple-vector multiplication using a bitmapped format.*
[MIMS Preprint]

Kannan, Ramaseshan and Hendry, Stephen and Higham, Nicholas J. and Tisseur, Francoise
(2013)
*Detecting the Causes of Ill-Conditioning in Structural Finite Element Models.*
[MIMS Preprint]

Karlsson, Lars and Tisseur, Francoise
(2014)
*Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials.*
[MIMS Preprint]

Karow, Michael and Kressner, Daniel and Tisseur, Françoise
(2006)
*Structured Eigenvalue Condition Numbers.*
[MIMS Preprint]

Kay, David A. and Gresho, Philip M. and Griffiths, David F. and Silvester, David J.
(2008)
*Adaptive time-stepping for incompressible flow
Part II: Navier-Stokes Equations.*
[MIMS Preprint]

Khabou, Amal and Demmel, James W. and Grigori, Laura and Gu, Ming
(2013)
*LU FACTORIZATION WITH PANEL RANK REVEALING PIVOTING AND ITS COMMUNICATION AVOIDING VERSION.*
[MIMS Preprint]

Khan, Arbaz and Upadhyay, Chandra Shekhar and Gerritsma, Marc
(2017)
*Spectral element method for parabolic interface problems: Regularity
estimates, stability theorem and error estimate.*
[MIMS Preprint]

Kloeden, P.E. and Lord, G.J. and Neuenkirch, A. and Shardlow, T.
(2010)
*The exponential integrator scheme for
stochastic partial differential equations:
Pathwise error bounds.*
[MIMS Preprint]

Kloeden, P.E. and Shardlow, T.
(2010)
*THE MILSTEIN SCHEME FOR STOCHASTIC DELAY
DIFFERENTIAL EQUATIONS WITHOUT ANTICIPATIVE
CALCULUS.*
[MIMS Preprint]

Kurzak, Jakub and Buttari, Alfredo and Dongarra, Jack
(2007)
*Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization.*
[MIMS Preprint]

Kurzak, Jakub and Buttari, Alfredo and Luszczek, Piotr and Dongarra, Jack
(2008)
*The PlayStation 3 for High Performance Scientific Computing.*
[MIMS Preprint]

Lancaster, Peter
(2006)
*Model-Updating for Symmetric Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Lancaster, Peter and Psarrakos, Panayiotis
(2006)
*A Note on Weak and Strong Linearizations of Regular Matrix Polynomials.*
[MIMS Preprint]

Lawrence, Piers and Perez, Javier
(2016)
*Constructing strong linearizations of matrix polynomials expressed in the Chebyshev bases.*
[MIMS Preprint]

Li, Ren-Cang and Nakatsukasa, Yuji and Truhar, Ninoslav and Wang, Wei-guo
(2012)
*Perturbation of multiple eigenvalues of Hermitian matrices.*
[MIMS Preprint]

Li, Yinan and Dongarra, Jack and Tomov, Stanimire
(2009)
*A Note on Auto-tuning GEMM for GPUs.*
[MIMS Preprint]

Liao, Qifeng and Silvester, David
(2011)
*Fast Implicit Solvers using Stabilized Mixed Approximation.*
[MIMS Preprint]

Liao, Qifeng and Silvester, David
(2009)
*A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations.*
[MIMS Preprint]

Lin, Lijing and Higham, Nicholas J. and Pan, Jianxin
(2013)
*Covariance Structure Regularization via Entropy Loss Function.*
[MIMS Preprint]

Liu, Xiaobo
(2023)
*Mixed-Precision Paterson--Stockmeyer Method for Evaluating Polynomials of Matrices.*
[MIMS Preprint]

Lopez, Florent and Mary, Theo
(2020)
*Mixed Precision LU Factorization on GPU Tensor Cores: Reducing Data Movement and Memory Footprint.*
[MIMS Preprint]
(In Press)

Lord, Gabriel and Shardlow, Tony
(2006)
*Post processing for stochastic parabolic partial differential
equations.*
[MIMS Preprint]

Lotz, Martin
(2012)
*On the volume of tubular neighborhoods of real algebraic varieties.*
[MIMS Preprint]

Lotz, Martin
(2012)
*On the volume of tubular neighbourhoods of real algebraic varieties.*
[MIMS Preprint]

Lotz, Martin
(2017)
*Persistent homology for low-complexity models.*
[MIMS Preprint]

Lotz, Martin
(2017)
*Persistent homology for low-complexity models.*
[MIMS Preprint]

Ltaief, Hatem and Kurzak, Jakub and Dongarra, Jack
(2009)
*Parallel Band Two-Sided Matrix
Bidiagonalization for Multicore Architectures.*
[MIMS Preprint]

Ltaief, Hatem and Kurzak, Jakub and Dongarra, Jack
(2009)
*Parallel Block Hessenberg Reduction using
Algorithms-By-Tiles for Multicore Architectures
Revisited.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2010)
*Smith Forms of Palindromic Matrix Polynomials.*
[MIMS Preprint]

Mackey, D. Steven
(2011)
*The Continuing Influence of Fiedler's Work
on Companion Matrices.*
[MIMS Preprint]

Mackey, D. Steven
(2012)
*Minimal indices and minimal bases via filtrations.*
[MIMS Preprint]

Mackey, D. Steven
(2012)
*Minimal indices and minimal bases via filtrations.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2009)
*Jordan Structures of Alternating Matrix Polynomials.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2014)
*Mobius Transformations of Matrix Polynomials.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2014)
*Möbius Transformations of Matrix Polynomials.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2006)
*Palindromic Polynomial Eigenvalue Problems:
Good Vibrations from Good Linearizations.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2012)
*Skew-symmetric matrix polynomials and their Smith forms.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2006)
*Structured Polynomial Eigenvalue Problems:
Good Vibrations from Good Linearizations.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker
(2005)
*Vector Spaces of Linearizations for Matrix Polynomials.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2006)
*Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2006)
*Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise
(2007)
*Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras.*
[MIMS Preprint]

Mackey, D. Steven and Perovic, Vasilije
(2014)
*Linearizations of Matrix Polynomials in Bernstein Bases.*
[MIMS Preprint]

Mackey, D. Steven and Perovic, Vasilije
(2014)
*Linearizations of Matrix Polynomials in Bernstein Basis.*
[MIMS Preprint]

McInerney, Ian
(2022)
*Conditions for Digit Stability in Iterative Methods Using the Redundant Number Representation.*
[MIMS Preprint]

Mehrmann, Volker and Noferini, Vanni and Tisseur, Francoise and Xu, Hongguo
(2015)
*On the sign characteristics of Hermitian matrix polynomials.*
[MIMS Preprint]

Mills, Anna and Marsland, Stephen and Shardlow, Tony
(2006)
*Computing the Geodesic Interpolating Spline.*
[MIMS Preprint]

Nadukandi, Prashanth and Higham, Nicholas J.
(2018)
*Computing the Wave-Kernel Matrix Functions.*
[MIMS Preprint]
(Submitted)

Nakatsukasa, Yuji
(2011)
*Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices.*
[MIMS Preprint]

Nakatsukasa, Yuji
(2011)
*On the condition numbers of a multiple eigenvalue
of a generalized eigenvalue problem.*
[MIMS Preprint]

Nakatsukasa, Yuji
(2011)
*The tan theta theorem with relaxed conditions.*
[MIMS Preprint]

Nakatsukasa, Yuji and Aishima, Kensuke and Yamazaki, Ichitaro
(2011)
*dqds with aggressive early deflation.*
[MIMS Preprint]

Nakatsukasa, Yuji and Freund, Roland W.
(2015)
*Computing Fundamental matrix decompositions accurately via the matrix sign function in two iterations: The power of Zolotarev's functions.*
[MIMS Preprint]

Nakatsukasa, Yuji and Higham, Nicholas J.
(2011)
*Backward stability of iterations for computing the polar decomposition.*
[MIMS Preprint]

Nakatsukasa, Yuji and Higham, Nicholas J.
(2012)
*Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD.*
[MIMS Preprint]

Nakatsukasa, Yuji and Noferini, Vanni
(2014)
*On the stability of computing polynomial roots
via confederate linearizations.*
[MIMS Preprint]

Nakatsukasa, Yuji and Noferini, Vanni and Townsend, Alex
(2012)
*Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach.*
[MIMS Preprint]

Nakatsukasa, Yuji and Saito, Naoki and Woei, Ernest
(2011)
*Mysteries around the graph Laplacian eigenvalue 4.*
[MIMS Preprint]

Nakatsukasa, Yuji and Taslaman, Leo and Tisseur, Francoise and Zaballa, Ion
(2017)
*Reduction of matrix polynomials to simpler forms.*
[MIMS Preprint]

Neal, P and Roberts, G and Yuen, J
(2007)
*Optimal Scaling of Random Walk Metropolis algorithms with
Discontinuous target densities.*
[MIMS Preprint]

Newsum, Craig J. and Powell, Catherine E.
(2016)
*Efficient reduced basis methods for saddle point problems with applications in groundwater flow.*
[MIMS Preprint]

Nicholas, Higham
(2019)
*Error Analysis For Standard and GMRES-Based Iterative Refinement in Two and Three-Precisions.*
[MIMS Preprint]

Noferini, Vanni
(2016)
*A Daleckii-Krein formula for the Frechet derivative of a
generalized matrix function.*
[MIMS Preprint]

Noferini, Vanni
(2016)
*A Daleckii-Krein formula for the Frechet derivative of a
generalized matrix function.*
[MIMS Preprint]

Noferini, Vanni and Perez, Javier
(2015)
*Chebyshev-Fiedler pencils.*
[MIMS Preprint]

Noferini, Vanni and Perez Alvaro, Javier
(2015)
*Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable?*
[MIMS Preprint]

Noferini, Vanni and Perez Alvaro, Javier
(2015)
*Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable?*
[MIMS Preprint]

Noferini, Vanni and Sharify, Meisam and Tisseur, Francoise
(2014)
*Tropical roots as approximations to eigenvalues of matrix polynomials.*
[MIMS Preprint]

Noferini, Vanni and Sharify, Meisam and Tisseur, Francoise
(2014)
*Tropical roots as approximations to eigenvalues of matrix polynomials.*
[MIMS Preprint]

Noferini, Vanni and Townsend, Alex
(2015)
*Are resultant methods numerically unstable for multidimensional rootfinding?*
[MIMS Preprint]

Papanikos, Georgios and Powell, Catherine E.
(2022)
*ML-SGFEM User Guide.*
[MIMS Preprint]

Pearson, John and Pestana, Jennifer and Silvester, David
(2016)
*Refined saddle-point preconditioners for discretized Stokes problems.*
[MIMS Preprint]

Perovic, Vasilije and Mackey, D. Steven
(2017)
*Linearizations of Matrix Polynomials in Newton Bases.*
[MIMS Preprint]

Pestana, Jennifer and Muddle, Richard and Heil, Matthias and Tisseur, Francoise and Mihajlovic, Milan
(2015)
*Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem.*
[MIMS Preprint]

Pestana, Jennifer and Muddle, Richard and Heil, Matthias and Tisseur, Francoise and Mihajlovic, Milan
(2015)
*Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem.*
[MIMS Preprint]

Pestana, Jennifer and Muddle, Richard and Heil, Matthias and Tisseur, Francoise and Mihajlovic, Milan
(2015)
*Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem.*
[MIMS Preprint]

Pestana, Jennifer and Rees, Tyrone
(2015)
*Null-space preconditioners for saddle point problems.*
[MIMS Preprint]

Pestana, Jennifer and Wathen, Andrew
(2014)
*A preconditioned MINRES method for nonsymmetric Toeplitz matrices.*
[MIMS Preprint]

Poloni, Federico and Strabić, Nataša
(2015)
*Principal pivot transforms of quasidefinite matrices and semidefinite Lagrangian subspaces.*
[MIMS Preprint]

Polydorides, N and Storteig, E and Lionheart, W.R.B.
(2008)
*OCEAN CURRENT PREDICTION IN TOWED CABLE HYDRODYNAMICS UNDER DYNAMIC STEERING.*
[MIMS Preprint]

Poupard, Eduardo and Heath, William P. and Güttel, Stefan
(2020)
*A Hamiltonian Decomposition for Fast Interior-Point Solvers in Model Predictive Control.*
[MIMS Preprint]

Powell, Catherine E. and Gordon, Andrew D.
(2013)
*A Preconditioner for Fictitious Domain Formulations of Elliptic PDEs on Uncertain Parameterized Domains.*
[MIMS Preprint]

Powell, Catherine E. and Silvester, David and Simoncini, Valeria
(2015)
*An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations.*
[MIMS Preprint]

Powell, Catherine E. and Ullmann, Elisabeth
(2009)
*Preconditioning stochastic Galerkin saddle point systems.*
[MIMS Preprint]

Pranesh, Srikara
(2019)
*Backward error and condition number of a generalized Sylvester equation, with application to the stochastic Galerkin method.*
[MIMS Preprint]

Pranjal, Prasad
(2018)
*An optimal iterative solver for symmetric indefinite linear
systems with PDE origins: Balanced black-box stopping tests.*
[MIMS Preprint]

Pranjal, Prasad and Silvester, David J.
(2018)
*Optimal iterative solvers for linear nonsymmetric systems and nonlinear systems with PDE origins: Balanced black-box stopping tests.*
[MIMS Preprint]

Qiu, Changkai and Güttel, Stefan and Ren, Xiuyan and Yin, Changchun and Liu, Yunhe and Zhang, Bo and Egbert, Gary
(2018)
*A block rational Krylov method for three-dimensional time-domain marine controlled-source electromagnetic modeling.*
[MIMS Preprint]

Rees, Glyn and Silvester, David and Mihajlovic, Milan
(2011)
*A truncated ILU smoother for multigrid
preconditioning of convection dominated flow problems.*
[MIMS Preprint]

Schröder, Christian and Taslaman, Leo
(2014)
*Backward error analysis of the shift-and-invert Arnoldi algorithm.*
[MIMS Preprint]

Schröder, Christian and Taslaman, Leo
(2014)
*Backward error analysis of the shift-and-invert Arnoldi algorithm.*
[MIMS Preprint]

Sharify, Meisam and Tisseur, Francoise
(2017)
*Effect of tropical scaling on linearizations of matrix polynomials: backward error and conditioning.*
[MIMS Preprint]

Silvester, David and Bespalov, Alexei and Powell, Catherine E.
(2011)
*A framework for the development of implicit solvers for incompressible flow problems.*
[MIMS Preprint]

Silvester, David and Pranjal
(2015)
*An optimal iterative solver for linear systems arising from SFEM
approximation of diffusion equations with random coefficients.*
[MIMS Preprint]

Silvester, David J. and Powell, Catherine E.
(2007)
*PIFISS Potential (Incompressible) Flow & Iterative Solution Software guide.*
[MIMS Preprint]

Silvester, David J. and Simoncini, Valeria
(2010)
*EST_MINRES: An Optimal Iterative Solver for Symmetric Indefinite Systems stemming from Mixed Approximation.*
[MIMS Preprint]

Smethurst, Christopher A. and Silvester, David J. and Mihajlovic, Milan D.
(2012)
*Unstructured finite element method for the solution of the
Boussinesq problem in 3D.*
[MIMS Preprint]

Tang, D.F.
(2012)
*A fast algorithm for spectral interpolation of sampled data.*
[MIMS Preprint]

Tang, D.F. and Dobbie, S.
(2011)
*iGen: A program for the automated generation of models and parameterisations.*
[MIMS Preprint]

Tang, D.F. and Dobbie, S.
(2011)
*iGen: A program for the automated generation of models and parameterisations.*
[MIMS Preprint]

Tang, D.F. and Dobbie, S.
(2011)
*iGen: The automated generation of a parameterisation of entrainment in marine stratocumulus.*
[MIMS Preprint]

Taslaman, Leo
(2014)
*Strongly damped quadratic matrix polynomials.*
[MIMS Preprint]

Taslaman, Leo
(2014)
*An algorithm for quadratic eigenproblems with low rank damping.*
[MIMS Preprint]

Taslaman, Leo
(2014)
*An algorithm for quadratic eigenproblems with low rank damping.*
[MIMS Preprint]

Taslaman, Leo
(2014)
*An algorithm for quadratic eigenproblems with low rank damping.*
[MIMS Preprint]

Taslaman, Leo and Tisseur, Francoise and Zaballa, Ion
(2012)
*Triangularization of matrix polynomials.*
[MIMS Preprint]

Taslaman, Leo and Tisseur, Francoise and Zaballa, Ion
(2012)
*Triangularizing matrix polynomials.*
[MIMS Preprint]

Thompson, William M and Lionheart, William RB and Morton, Edward J and Cunningham, Mike and Luggar, Russell
(2015)
*High Speed Imaging of Dynamic Processes with a Switched Source X-ray CT System.*
[MIMS Preprint]

Tisseur, Francoise and Garvey, Seamus D. and Munro, Christopher
(2009)
*Deflating Quadratic Matrix Polynomials with Structure Preserving Transformations.*
[MIMS Preprint]

Tisseur, Françoise and Graillat, Stef
(2006)
*Structured Condition Numbers and Backward Errors in Scalar Product Spaces.*
[MIMS Preprint]

Tisseur, Françoise and Zaballa, Ion
(2012)
*Triangularizing Quadratic Matrix Polynomials.*
[MIMS Preprint]

Tisseur, Françoise and Zaballa, Ion
(2012)
*Triangularizing Quadratic Matrix Polynomials.*
[MIMS Preprint]

Tisseur, Françoise and Zaballa, Ion
(2012)
*Triangularizing Quadratic Matrix Polynomials.*
[MIMS Preprint]

Tomov, Stanimire and Dongarra, Jack and Baboulin, Marc
(2009)
*Towards Dense Linear Algebra for
Hybrid GPU Accelerated Manycore Systems.*
[MIMS Preprint]

Townsend, Alex and Noferini, Vanni and Nakatsukasa, Yuji
(2012)
*Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach.*
[MIMS Preprint]

Trefethen, Anne and Higham, Nicholas J. and Duff, Iain and Coveney, Peter
(2009)
*Applications/Algorithms Roadmapping Activity. First Stage Final Report.*
[MIMS Preprint]

Ullmann, Elisabeth and Powell, Catherine
(2014)
*Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods.*
[MIMS Preprint]

Van Barel, Marc and Tisseur, Francoise
(2016)
*Polynomial eigenvalue solver based on tropically scaled Lagrange linearization.*
[MIMS Preprint]

Van Loan, Charles F.
(2006)
*A Study of the Matrix Exponential.*
[MIMS Preprint]

Wadeson, Nicola
(2015)
*Aluminium foam data reconstruction using CGLS and TV Regularisation - 100 and 200 projection data.*
[MIMS Preprint]

Wang, Liang and Tisseur, Francoise and Strang, Gilbert and Horn, Berthold K.P.
(2019)
*Stability analysis of a chain of non-identical vehicles under bilateral cruise control.*
[MIMS Preprint]

Zaballa, Ion and Tisseur, Francoise
(2012)
*Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach.*
[MIMS Preprint]

Zaballa, Ion and Tisseur, Francoise
(2012)
*Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach.*
[MIMS Preprint]

Zaballa, Ion and Tisseur, Francoise
(2012)
*Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach.*
[MIMS Preprint]

Zemaityte, Mante and Tisseur, Francoise and Kannan, Ramaseshan
(2018)
*Filtering Frequencies in a Shift-and-invert Lanczos Algorithm
for the Dynamic Analysis of Structures.*
[MIMS Preprint]
(In Press)

Zhang, Weijian and Higham, Nicholas J.
(2015)
*Matrix Depot: An Extensible Test Matrix Collection for Julia.*
[MIMS Preprint]

Zounon, Mawussi and Higham, Nicholas J. and Lucas, Craig and Tisseur, Françoise
(2020)
*Performance Impact of Precision Reduction In Sparse Linear Systems Solvers.*
[MIMS Preprint]

Šego, Vedran
(2012)
*The hyperbolic Schur decomposition (extended).*
[MIMS Preprint]

Šego, Vedran
(2012)
*The hyperbolic Schur decomposition (extended).*
[MIMS Preprint]

Šego, Vedran
(2012)
*The hyperbolic Schur decomposition (extended).*
[MIMS Preprint]

Šego, Vedran
(2012)
*The hyperbolic Schur decomposition.*
[MIMS Preprint]

Šego, Vedran
(2012)
*The hyperbolic Schur decomposition.*
[MIMS Preprint]

Šego, Vedran
(2012)
*The hyperbolic Schur decomposition.*
[MIMS Preprint]

## Book Section

Chahlaoui, Y and Gallivan, K.A and Van Dooren, P
(2007)
*Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations.*
In:
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005.
ESAIM: Proceedings, 20
.
EDP Sciences, ESAIM, France, pp. 83-92.

Chahlaoui, Y and Gallivan, K.A and Van Dooren, P
(2007)
*Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations.*
In:
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005.
ESAIM: Proceedings, 20
.
EDP Sciences, ESAIM, France, pp. 83-92.

Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul
(2001)
*An incremental method for computing dominant singular subspaces.*
In:
Computational information retrieval.
SIAM, usa, pp. 53-62.
ISBN 0-89871-500-8

Chahlaoui, Younes and Gallivan, Kyle A and Vandendorpe, Antoine and Van Dooren, Paul
(2006)
*Model Reduction of Second-Order Systems.*
In:
Dimension Reduction of Large-Scale Systems.
Lecture Notes in Computational Science and Engineering, 45
.
Springer Berlin Heidelberg, Berlin, pp. 149-172.
ISBN 978-3-540-24545-2 (Print) 978-3-540-27909-9 (Online)

Chahlaoui, Younes and Tisseur, Françoise and Van Dooren, Paul
(2009)
*A new approach for MOR of second order Dynamical Systems.*
In:
Systems Theory: Modelling, Analysis and Control.
Presses Universitaires de Perpignan, pp. 153-158.
ISBN 2-35412-043-6

Chahlaoui, Younes and Van Dooren, Paul
(2005)
*Benchmark examples for model reduction of linear time invariant dynamical systems.*
In:
Dimension Reduction of Large-Scale Systems.
Lecture Notes in Computational Science and Engineering, 45
.
Springer Berlin Heidelberg, Berlin, pp. 379-392.
ISBN 978-3-540-24545-2 (Print) 978-3-540-27909-9 (Online)

Chahlaoui, Younes and Van Dooren, Paul
(2006)
*Model reduction of time-varying systems.*
In:
Dimension Reduction of Large-Scale Systems.
Lecture Notes in Computational Science and Engineering, 45
.
Springer Berlin Heidelberg, Berlin, pp. 131-148.
ISBN 978-3-540-24545-2 (Print) 978-3-540-27909-9 (Online)

Davies, Philip I. and Higham, Nicholas J.
(2005)
*Computing $f(A)b$ for Matrix Functions $f$.*
In:
QCD and Numerical Analysis III.
Lecture Notes in Computational Science and Engineering, 47
.
Springer-Verlag, Berlin, pp. 15-24.
ISBN 3-540-21257-4

Domas, Stéphane and Tisseur, Françoise
(1997)
*Parallel implementation of a symmetric eigensolver based on the Yau and Lu method.*
In:
Lecture Notes in Computer Science.
Lecture Notes in Computer Science, 1215
.
Springer Berlin / Heidelberg, Berlin, pp. 140-153.
ISBN 978-3-540-62828-6

Hammarling, Sven
(2005)
*An Introduction to the Quality of Computed Solutions.*
In:
Accuracy and Reliability in Scientific Computing.
SIAM, Philadelphia, USA, pp. 43-76.
ISBN 0-89871-584-9

Higham, Nicholas J.
(1990)
*Analysis of the Cholesky Decomposition of a Semi-definite Matrix.*
In:
Reliable Numerical Computation.
Oxford University Press, Oxford, UK, pp. 161-185.
ISBN 0-19-853564-3

Higham, Nicholas J.
(1990)
*Analysis of the Cholesky Decomposition of a Semi-definite Matrix.*
In:
Reliable Numerical Computation.
Oxford University Press, Oxford, UK, pp. 161-185.
ISBN 0-19-853564-3

Higham, Nicholas J.
(2015)
*Color Spaces and Digital Imaging.*
In:
The Princeton Companion to Applied Mathematics.
Princeton University Press, Princeton, NJ, USA, pp. 808-813.
ISBN 978-0-691-15039-0

Higham, Nicholas J.
(2007)
*Commentary on Selected Papers by Gene Golub on
Matrix Factorizations and Applications.*
In:
Milestones in Matrix Computation: The Selected Works of Gene H. Golub, with Commentaries.
Oxford University Press, Oxford, pp. 227-235.
ISBN 978-0-19-920681-0

Higham, Nicholas J.
(2006)
*Functions of Matrices.*
In:
Handbook of Linear Algebra.
Chapman and Hall/CRC, Boca Raton, FL, USA, 11.1-11.13.
ISBN 1-58488-510-6

Higham, Nicholas J.
(2014)
*Functions of Matrices.*
In:
Handbook of Linear Algebra.
CRC Press, Boca Raton, Florida, USA, 17.1-17.5.
ISBN 978-1-4665-0728-9

Higham, Nicholas J.
(2014)
*Functions of Matrices.*
In:
Handbook of Linear Algebra.
CRC Press, Boca Raton, Florida, USA, 17.1-17.5.
ISBN 978-1-4665-0728-9

Higham, Nicholas J.
(2014)
*Numerical Conditioning.*
In:
Walter Gautschi. Selected Works with Commentaries.
Birkhauser, New York, pp. 37-40.
ISBN 978-1-4614-7033-5

Higham, Nicholas J.
(2015)
*Numerical Linear Algebra and Matrix Analysis.*
In:
The Princeton Companion to Applied Mathematics.
Princeton University Press, Princeton, NJ, USA, pp. 263-281.
ISBN 978-0-691-15039-0

Higham, Nicholas J.
(2015)
*Programming Languages: An Applied Mathematics View.*
In:
The Princeton Companion to Applied Mathematics.
Princeton University Press, Princeton, NJ, USA, pp. 828-839.
ISBN 978-0-691-15039-0

Higham, Nicholas J.
(1997)
*Recent Developments in Dense Numerical Linear Algebra.*
In:
The State of the Art in Numerical Analysis.
Oxford University Press, Oxford, UK, pp. 1-26.
ISBN 0-19-850014-9

Higham, Nicholas J.
(2015)
*The Singular Value Decomposition.*
In:
The Princeton Companion to Applied Mathematics.
Princeton University Press, Princeton, NJ, USA, pp. 126-127.
ISBN 978-0-691-15039-0

Higham, Nicholas J.
(1994)
*A Survey of Componentwise Perturbation Theory.*
In:
Mathematics of Computation 1943--1993: A Half Century of Computational Mathematics.
Proceedings of Symposia in Applied Mathematics, 48
.
American Mathematical Society, Providence, RI, USA, pp. 49-77.
ISBN 0-8218-0291-7

Higham, Nicholas J.
(2015)
*Workflow.*
In:
The Princeton Companion to Applied Mathematics.
Princeton University Press, Princeton, NJ, USA, pp. 912-916.
ISBN 978-0-691-15039-0

Higham, Nicholas J. and Stewart, G. W.
(1987)
*Numerical Linear Algebra in Statistical Computing.*
In:
The State of the Art in Numerical Analysis.
Oxford University Press, Oxford, UK, pp. 41-57.
ISBN 0-19-853614-3

Huber, Nikolaus and Brosig, Fabian and Dingle, Nicholas and Joshi, Kaustubh and Kounev, Samuel
(2012)
*Providing Dependability and Performance in the Cloud: Case Studies.*
In:
Resilience Assessment and Evaluation of Computing Systems.
Dagstuhl Seminar 10292
.
Springer-Verlag, Berlin, Heidelberg.
ISBN 978-3-642-29031-2

Lionheart, William and Polydorides, Nicholas and Borsic, Andrea
(2004)
*Part 1: the reconstruction problem.*
In:
Electrical Impedance Tomography: Methods, History and Applications.
Series in Medical Physics and Biomedical Engineering
.
Institute of Physics, Bristol, pp. 3-64.
ISBN 0750309520

Mackey, D. S. and Mackey, N. and Tisseur, F.
(2015)
*Polynomial Eigenvalue Problems: Theory, Computation, and Structure.*
In:
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory.
Springer International Publishing, Switzerland, pp. 319-348.
ISBN 978-3-319-15259-2

Powell, C.E. and Shardlow, T and Lord, G.J.
(2014)
*Preface to "An Introduction to Computational Stochastic PDEs".*
In:
An Introduction to Computational Stochastic PDEs.
Cambridge Texts in Applied Mathematics
.
Cambridge University Press, USA.
ISBN 9780521728522

## Conference or Workshop Item

Abascal, Juan Felipe P. J. and Lionheart, William R.B.
(2004)
*Rank analysis of the anisotropic inverse conductivity problem.*
In: International Conference on Electrical Bioimpedance and Electrical Impedance Tomography, 20-24 June 2004, Gdansk, Poland..

Chahlaoui, Younes
(2011)
*Gramian based model reduction of switched dynamical systems.*
In: Householder Symposium XVIII on Numerical Linear Algebra, 12-17 June 2011, Tahoe City, CA, US.

Chahlaoui, Younes
(2011)
*Model Order Reduction or How to make everything as simple as possible but not simpler.*
In: MAMERN11: 4 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, 23-26 May 2011, Saidia, Morocco.

Chahlaoui, Younes
(2009)
*Model reduction of switched dynamical systems.*
In: 4th Conference on Trends in Applied mathematics in Tunisia, Algeria and Morocco., 6-8 May 2009, Kenitra, Morocco.
(Submitted)

Chahlaoui, Younes
(2011)
*PVDâ��s contributions to numerical methods in systems and
control.*
In: 10th IMACS International Symposium on Iterative Methods in Scientific Computing Dedicated to Paul Van Dooren on his 60th Birthday, 18-21 May 2011, Marrakech, Morocco.

Chahlaoui, Younes
(2009)
*A new approach for MOR of second order Dynamical Systems.*
In: Systems Theory: Modelling, Analysis and Control, 25-28 May 2009, Fes, Morocco.
(Submitted)

Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul
(2004)
*The Hinfinity-norm calculation for large sparse systems.*
In: 16th Symp. on the Mathematical Theory of Networks and Systems (MTNS04), 5-9 July 2004, Leuven.

Chahlaoui, Younes and Lemonnier, Damien and Meerbergen, Karl and Vandendorpe, Antoine and Van Dooren, Paul
(2002)
*Model reduction of second order systems.*
In: Math. Th. Netw. Syst. International Symposium, August 2002, University Notre Dame, Illinois.

Chahlaoui, Younes and Lemonnier, Damien and Vandendorpe, Antoine and Van Dooren, Paul
(2004)
*Second Order Structure Preserving Balanced Truncation.*
In: 16th Symp. on the Mathematical Theory of Networks and Systems (MTNS04), 5-9 July 2004, Leuven.

Chahlaoui, Younes and Van Dooren, Paul
(2002)
*Estimating Gramians of large-scale time-varying systems.*
In: IFAC World Congress, 2002, Barcelone.

Chahlaoui, Younes and Van Dooren, Paul
(2003)
*Recursive Gramian and Hankel map approximation of large dynamical systems.*
In: SIAM Conference on Applied Linear Algebra, 15-19 July 2003, Williamsburg, Virginia, U.S.A..

Chahlaoui, Younes and Van Dooren, Paul
(2003)
*Recursive low rank Hankel approximation and model reduction.*
In: Eur. Contr. Conf. 2003, 1-4 Sept 2003, Cambridge.

Coban, S.B. and Lionheart, W.R.B.
(2014)
*Regularised GMRES-type Methods for X-Ray Computed Tomography.*
In: The Third International Conference on Image Formation in X-Ray Computed Tomography, 22-25 June 2014, Salt Lake City, Utah, USA.

Coban, S.B. and Withers, P.J. and Lionheart, W.R.B.
(2015)
*The effects of fewer projection tomographic scans on the image reconstruction.*
In: Tomography for Scientific Advancement Symposium, 3-4 September 2015, University of Manchester, United Kingdom.

Coban, S.B. and Withers, P.J. and Lionheart, W.R.B.
(2015)
*The effects of tomographic scans with fewer radiographs on the image reconstruction.*
In: Tomography for Scientific Advancement Symposium, 3-4 September 2015, University of Manchester, United Kingdom.

Coban, S.B. and Withers, P.J. and Lionheart, W.R.B. and McDonald, S.A.
(2015)
*When do the iterative reconstruction methods become worth the effort?*
In: The 13th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine (Fully3D 2015), 31 May - 04 June 2015, Newport, Rhode Island, USA.

Corless, Robert M. and Ding, Hui and Higham, Nicholas J. and Jeffrey, David J.
(2007)
*The Solution of S exp(S) = A is Not Always the Lambert W Function of A.*
In: ISSAC '07: Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, July 29 - August 01, 2007, Waterloo, Ontario, Canada.

Dallali, Houman and Medrano-Cerda, Gustavo and Brown, Martin and Tsagarakis, Nikos and Caldwell, Darwin
(2012)
*Decentralized LQR Joint Servo Design for a Compliant Humanoid Robot via LMI Optimisation.*
In: IEEE/RSJ International Conference on Intelligent Robots and Systems.
(Submitted)

Dingle, Nicholas
(2011)
*HydraMP: Exploiting shared memory parallelism in HYDRA with OpenMP.*
In: 27th UK Performance Engineering Workshop (UKPEW 2011), 7-8 July 2011, Bradford, UK.

Dingle, Nicholas
(2011)
*HydraMP: Exploiting shared memory parallelism in HYDRA with OpenMP.*
In: 27th UK Performance Engineering Workshop (UKPEW 2011), 7-8 July 2011, Bradford, UK.

Dingle, Nicholas J. and Knottenbelt, William J. and Spanias, Demetris
(2012)
*On the (Page)Ranking of Professional Tennis Players.*
In: 28th UK Performance Engineering Workshop (UKPEW 2012), 2 July 2012, Edinburgh.

Haidar, Azzam and Tomov, Stanimire and Dongarra, Jack and Higham, Nicholas J.
*Harnessing GPU Tensor Cores for Fast FP16 Arithmetic to Speed up Mixed-Precision Iterative Refinement Solvers.*
In: International Conference on Supercomputing, New York, NY, USA, 2018.
(In Press)

Hammarling, Sven
*James Hardy Wilkinson
27 September 1919 - 5 October 1986.*
In: Advances in Numerical Linear Algebra: Celebrating the Centenary of the Birth of James H. Wilkinson, May 29-30, 2019.
(Unpublished)

Lionheart, William R. B. and Paridis, Kyriakos
(2010)
*Finite Elements and Anisotropic EIT reconstruction.*
In: 14th International Conference on Electrical Bioimpedance and the 11th Conference on Biomedical Applications of EIT, 4-8 Apr 2010, Gainesville, FL, USA.
(Unpublished)

Magalhaes, Bruno R. C. and Dingle, Nicholas J. and Knottenbelt, William J.
(2010)
*GPU-enabled steady-state solution of large Markov models.*
In: 6th International Workshop on the Numerical Solution of Markov Chains (NSMC'10), 16-17 Sep 2010, Williamsburg, Virginia.

Paridis, Kyriakos and Lionheart, William R. B.
(2010)
*Shape corrections for 3D EIT.*
In: 14th International Conference on Electrical Bioimpedance and the 11th Conference on Biomedical Applications of EIT, 4-8 Apr 2010, Gainesville, FL, USA.
(Unpublished)

Thompson, William M and Lionheart, William RB and Morton, Edward J
(2012)
*Real-Time imaging with a high speed X-Ray CT system.*
In: 6th International Symposium on Process Tomography, 26 - 28 March 2012, Cape Town, South Africa.

Yu, Shengping and Chai, Tianyou and Wang, Hong and Pang, Xinfu and Zheng, Binglin
(2011)
*Dynamic Optimal Scheduling Method and Its Application for Converter Fault in Steelmaking and Continuous Casting Production Process.*
In: 18th IFAC World Congress, August 28 - September 2, 2011, Milano, Italy.
(Submitted)

## Book

Elman, Howard C. and Silvester, David J. and Wathen, Andrew J.
(2005)
*Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics.*
Numerical Mathematics and Scientific Computation
.
Oxford University Press.
ISBN 0-19-852868-X

Griffiths, David F. and Dold, John W. and Silvester, David J.
(2015)
*Essential partial differential equations.*
Springer Undergraduate Mathematics Series
.
Springer, Switzerland.

Higham, Nicholas J.
(2002)
*Accuracy and Stability of Numerical Algorithms.*
Society for Industrial and Applied Mathematics, Philadelphia, PA, USA.
ISBN 0-89871-521-0

Higham, Nicholas J.
(2008)
*Functions of Matrices: Theory and Computation.*
Society for Industrial and Applied Mathematics, Philadelphia, PA, USA.
ISBN 978-0-898716-46-7

## Thesis

Güttel, Stefan
(2010)
*Rational Krylov Methods for Operator Functions.*
Doctoral thesis, Technische UniversitÃ¤t Bergakademie Freiberg.

Al-Ammari, Maha
(2011)
*Analysis of Structured Polynomial Eigenvalue Problems.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Al-Mohy, Awad H.
(2010)
*Algorithms for the Matrix Exponential and its Fr\'echet Derivative.*
Doctoral thesis, University of Manchester.

Andrew, Robert
(2012)
*Implementation of QR Updating Algorithms on the GPU.*
Masters thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Aprahamian, Mary
(2016)
*Theory and Algorithms for Periodic Functions of Matrices, with Applications.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Berhanu, Michael
(2005)
*The Polynomial Eigenvalue Problem.*
Doctoral thesis, University of Manchester.

Berljafa, Mario
(2017)
*Rational Krylov Decompositions: Theory and Applications.*
Doctoral thesis, The University of Manchester.

Borsdorf, Rudiger
(2007)
*A Newton Algorithm for the Nearest Correlation Matrix.*
Masters thesis, University of Manchester.

Borsdorf, Ruediger
(2012)
*Structured Matrix Nearness Problems:
Theory and Algorithms.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Breckon, William Robert
(1990)
*Image reconstruction in electrical impedance tomography.*
Doctoral thesis, Oxford Polytechnic.

Chahlaoui, Younes
(2003)
*Low-rank approximation and model reduction.*
Doctoral thesis, University Catholic of Louvain, Louvain-La-Neuve, Belgium.

Coban, Sophia Bethany
(2017)
*Practical Approaches to Reconstruction and Analysis for 3D and Dynamic 3D Computed Tomography.*
Doctoral thesis, University of Manchester.

Crabb, Michael
(2014)
*EIT Reconstruction Algorithms for Respiratory Intensive Care.*
Doctoral thesis, The University of Manchester.

Cross, Mathew I.
(2005)
*Symplectic integrators and optimal control.*
Masters thesis, University of Manchester.

Güttel, Stefan
(2006)
*Convergence Estimates of Krylov Subspace Methods for the Approximation of Matrix Functions Using Tools from Potential Theory.*
Masters thesis, Technische UniversitÃ¤t Bergakademie Freiberg.

Hargreaves, Gareth
(2005)
*Topics in Matrix Computations: Stability and Efficiency of Algorithms.*
Doctoral thesis, University of Manchester.

Higham, Nicholas J.
(1983)
*Matrix Condition Numbers.*
Masters thesis, The University of Manchester.

Higham, Nicholas J.
(1985)
*Nearness Problems in Numerical Linear Algebra.*
Doctoral thesis, The University of Manchester.

Jagger, David P.
(2003)
*MATLAB Toolbox for Classical Matrix Groups.*
Masters thesis, University of Manchester.

Kannan, Ramaseshan
(2014)
*Numerical Linear Algebra Problems in Structural Analysis.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Liao, Qifeng
(2010)
*Error estimation and stabilization for low order finite elements.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Lin, Lijing
(2011)
*Roots of Stochastic Matrices and Fractional Matrix Powers.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Lucas, Craig
(2004)
*Algorithms for Cholesky and QR Factorizations, and
the Semidefinite Generalized Eigenvalue Problem.*
Doctoral thesis, The University of Manchester.

Lucas, Craig
(2001)
*Computing Nearest Covariance and Correlation Matrices.*
Masters thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Mackey, D. Steven
(2006)
*Structured Linearizations for Matrix Polynomials.*
Doctoral thesis, University of Manchester.

Mackey, D. Steven
(2006)
*Structured Linearizations for Matrix Polynomials.*
Doctoral thesis, University of Manchester.

McSweeney, Thomas
(2017)
*Modified Cholesky Decomposition and Applications.*
Masters thesis, University of Manchester.

Michael, Crabb
(2010)
*The Discontinuous Galerkin Method for Conservation Laws.*
Masters thesis, The University of Manchester.

Munro, Christopher J.
(2011)
*Algorithms for Matrix Polynomials and Structured Matrix Problems.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Munro, Christopher J.
(2007)
*Deflating Quadratic Matrix Polynomials.*
Masters thesis, The University of Manchester.

Powell, Catherine E.
(2003)
*Optimal Preconditioning for Mixed Finite Element Formulation of Second-Order Elliptic Problems.*
Doctoral thesis, UMIST.

Pranjal, Prasad
(2017)
*Optimal iterative solvers for linear systems with stochastic PDE origins: Balanced black-box stopping tests.*
Doctoral thesis, University of Manchester.

Prinja, Gaurav K.
(2010)
*Adaptive Solvers for Elliptic and Parabolic Partial Differential Equations.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Relton, S. D.
(2014)
*Algorithms for Matrix Functions and their Frechet Derivatives and Condition Numbers.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Strabić, Nataša
(2016)
*Theory and algorithms for matrix problems with positive semidefinite constraints.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Taslaman, Leo
(2014)
*Algorithms and theory for polynomial eigenproblems.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Thompson, William Michael
(2010)
*SOURCE FIRING PATTERNS AND
RECONSTRUCTION ALGORITHMS
FOR A SWITCHED SOURCE, OFFSET
DETECTOR CT MACHINE.*
Doctoral thesis, The University of Manchester.

Tregidgo, Henry F.J.
(2013)
*Implementation and Analysis of Katsevich Reconstruction for Helical Scan CT.*
Masters thesis, The University of Manchester.

Watson, Francis Maurice
(2016)
*BETTER IMAGING FOR LANDMINE DETECTION: AN EXPLORATION OF 3D FULL-WAVE INVERSION FOR GROUND-PENETRATING RADAR.*
Doctoral thesis, The University of Manchester.

Weijian, Zhang
(2018)
*Evolving Graphs and Similarity-based Graphs with Applications.*
Doctoral thesis, University of Manchester.

## Other

Chahlaoui, Younes and Van Dooren, Paul
(2002)
*A collection of benchmark examples for model reduction of linear time invariant dynamical systems.*
Niconet.

Hammarling, Sven
(2017)
*Second Workshop on Batched, Reproducible, and Reduced Precision BLAS.*
The University of Manchester.
(Unpublished)

Hammarling, Sven
(2017)
*Workshop on Batched, Reproducible, and Reduced Precision BLAS.*
The University of Manchester.
(Unpublished)