# Items where Author is "Mackey, D. Steven"

**58**.

## Article

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.

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)

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

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

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

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

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
(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

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

## MIMS Preprint

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

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

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

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]

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]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven
(2013)
*Spectral equivalence of matrix polynomials
and the index sum theorem.*
[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
(2012)
*Skew-symmetric matrix polynomials and their Smith forms.*
[MIMS Preprint]

Mackey, D. Steven
(2011)
*The Continuing Influence of Fiedler's Work
on Companion Matrices.*
[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 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
(2010)
*Structured Linearizations for Palindromic Matrix Polynomials of Odd Degree.*
[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]

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

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]

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]

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 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]

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 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 Mackey, Niloufer and Tisseur, Françoise
(2006)
*Symmetric 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 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
(2006)
*Structured Polynomial Eigenvalue Problems:
Good Vibrations from Good Linearizations.*
[MIMS Preprint]

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

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

## Thesis

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.