# Items where Subject is "15 Linear and multilinear algebra; matrix theory"

- MIMS Preprint Server Subjects (3)
- MSC 2010, the AMS's Mathematics Subject Classification (3)
**15 Linear and multilinear algebra; matrix theory**(490)

- MSC 2010, the AMS's Mathematics Subject Classification (3)

**490**.

## Article

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

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Unpublished.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(Unpublished)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

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

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, 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

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

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

Dallali, H. and Medrano-Cerda, G. and Brown, M.
(2011)
*CONTROL OF A COMPLIANT HUMANOID ROBOT IN DOUBLE SUPPORT PHASE: A GEOMETRIC APPROACH.*
Int. J. of Humanoid Robotics (IJHR).
(Submitted)

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

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

Demmel, James W. and Higham, Nicholas J. and Schreiber, Robert S.
(1995)
*Stability of Block LU Factorization.*
Numerical Linear Algebra with Applications, Vol. 2 (2).
pp. 173-190.
ISSN 1070-5325 / 1099-1506

Dopico, Froilan M. and Noferini, Vanni
*Root polynomials and their role in the theory of matrix polynomials.*
TBA.
(Submitted)

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 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

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

Garvey, S.D. and Popov, A.A.
(2010)
*Parameterising Structure Preserving Transformations Connecting Quadratic Matrix Polynomials.*
Western Canada Linear Algebra Meeting 2010, Banff, May 2010, 1 (1).

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

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 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.
(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 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

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

Khudaverdian, Hovhannes M. and Voronov, Theodore
(2005)
*Berezinians, exterior powers and recurrent sequences.*
Letters in Mathematical Physics, 74 (2).
pp. 201-228.
ISSN 1573-0530

Liu, Jia and Hewitt, W. T. and Lionheart, W.R.B. and Montaldi, J and Turner, M.
(2008)
*A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane.*
Eurographics UK Theory and Practice of Computer Graphics (2008).
pp. 99-106.

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.

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

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

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, 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 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

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-Ammari, Maha and Tisseur, Francoise
(2010)
*Hermitian Matrix Polynomials with Real Eigenvalues of Definite Type. Part I: Classification.*
[MIMS Preprint]

Al-Ammari, Maha and Tisseur, Francoise
(2010)
*Hermitian Matrix Polynomials with Real Eigenvalues of Definite Type. Part I: Classification.*
[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]

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)

Amparan, A. and Dopico, F.M. and Marcaida, S. and Zaballa, I.
(2016)
*Strong linearizations of rational matrices.*
[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
(2021)
*Quasi-triangularization of matrix polynomials over arbitrary fields.*
[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)
*Nonbacktracking walk centrality for directed networks.*
[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]

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]

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
(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
(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
(2010)
*NLEVP: A Collection of Nonlinear Eigenvalue Problems.
Users' Guide.*
[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.
(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]

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]

Boshnakov, Georgi
(2006)
*Singular value decomposition of multi-companion matrices.*
[MIMS Preprint]

Broomhead, David and Furber, Steve and Johnson, Marianne
(2012)
*An algebraic approach to time borrowing.*
[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]

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]

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

Chen, Jiahao and Zhang, Weijian
(2016)
*The Right Way to Search Evolving Graphs.*
[MIMS Preprint]

Chen, Jiahao and Zhang, Weijian
(2016)
*The Right Way to Search Evolving Graphs.*
[MIMS Preprint]

Chen, Jiahao and Zhang, Weijian
(2016)
*The Right Way to Search Evolving Graphs.*
[MIMS Preprint]

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

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]

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 and Mackey, D. Steven and Van Dooren, Paul
(2015)
*Polynomial Zigzag Matrices, Dual Minimal Bases,
and the Realization of Completely Singular Polynomials.*
[MIMS Preprint]

De Teran, Fernando and Dopico, Froilan and Mackey, D. Steven and Van Dooren, Paul
(2015)
*Polynomial Zigzag Matrices, Dual Minimal Bases,
and the Realization of Completely Singular 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. 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]

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

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. 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 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 Negri Porzio, Gian Maria
(2019)
*Determinants of Normalized Bohemian Upper Hessemberg Matrices.*
[MIMS Preprint]

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

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]

Grammont, Laurence and Higham, Nicholas J. and Tisseur, Françoise
(2009)
*A Framework for Analyzing Nonlinear Eigenproblems
and Parametrized Linear Systems.*
[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 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 Higham, Nicholas J. and Lucas, Craig
(2006)
*LAPACK-Style Codes for Pivoted Cholesky and QR Updating.*
[MIMS Preprint]

Hammarling, Sven and Higham, Nicholas J. and Lucas, Craig
(2007)
*LAPACK-Style Codes for Pivoted Cholesky and QR Updating.*
[MIMS Preprint]

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

Hook, J
(2011)
*Products of random Max-plus matrices.*
[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
(2015)
*Squish scaling.*
[MIMS Preprint]

Hook, James and Broomhead, Dave
(2011)
*Stochastic production trees as products of i.i.d. componentwise exponential max-plus matrices.*
[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]

Hook, James and Tisseur, Françoise
(2014)
*Tropical Eigenvalues.*
[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]

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]

Lancaster, Peter and Tisseur, Françoise
(2010)
*Hermitian Quadratic Matrix Polynomials: Solvents and Inverse Problems.*
[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]

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

Liu, Jia and Hewitt, W. T. and Lionheart, W.R.B. and Montaldi, J and Turner, M.
(2008)
*A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane.*
[MIMS Preprint]

Liu, Xiaobo
(2023)
*On the Cross-Shaped Matrices.*
[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, Francoise
(2007)
*On the Definition of Two Natural Classes of Scalar Product.*
[MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Francoise
(2007)
*On the Definition of Two Natural Classes of Scalar Product.*
[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]

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

Montaldi, James
(2012)
*Notes on circulant matrices.*
[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 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]

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
(2014)
*When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices?*
[MIMS Preprint]

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

Noferini, Vanni and Poloni, Federico
(2013)
*Duality of matrix pencils and linearizations.*
[MIMS Preprint]

Noferini, Vanni and Poloni, Federico
(2013)
*Duality of matrix pencils and linearizations.*
[MIMS Preprint]

Noferini, Vanni and Poloni, Federico
(2013)
*Duality of matrix pencils and linearizations.*
[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]

Pan, Jianxin and Ye, Huajin and Li, Runze
(2009)
*Nonparametric Regression of Covariance Structures
in Longitudinal Studies.*
[MIMS Preprint]

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

Perovic, Vasilije and Mackey, D. Steven
(2021)
*Quadratic Realizability of Palindromic Matrix Polynomials: the Real Case.*
[MIMS Preprint]

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

Powell, Catherine E
(2006)
*Robust Preconditioning for Second-Order Elliptic PDEs with Random Field Coefficients.*
[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
(2014)
*The principal angles and the gap.*
[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]

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]

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

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

Ward, David
(2014)
*Conjugate p-elements of Full Support that Generate the Wreath Product Cp wr Cp.*
[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]

Zhang, Weijian
(2015)
*Dynamic Network Analysis in Julia.*
[MIMS Preprint]

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

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

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

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

## Conference or Workshop Item

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.

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, H. and Medrano-Cerda, G.A. and Brown, M.
(2010)
*A Comparison of Multivariable & Decentralized Control Strategies for Robust Humanoid Walking.*
In: UKACC International Conference on CONTROL 2010, 7-10 Sept 2010, Coventry, UK.
(Submitted)

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)

## Book

Hammarling, S. J.
(1970)
*Latent Roots and Latent Vectors.*
Adam Hilger, Bristol, UK.

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

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.

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

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.

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.

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.

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.

Ward, David
(2015)
*Topics in Finite Groups: Homology Groups, Pi-product Graphs, Wreath Products and Cuspidal Characters.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, 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)