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Mackey, D. Steven

Co-Author Distance
Author ID:
mackey.d-steven Recent zbMATH articles by "Mackey, D. Steven"
Published as:
Mackey, D. Steven;Mackey, D. S.
Documents Indexed:

38 Publications since 1995

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 1,166 times in497 DocumentsCited by ▼Year ▼
Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2006
Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2006
Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024
de Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2010
Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2014
Symmetric linearizations for matrix polynomials. Zbl 1137.15006
Higham, Nicholas J.;Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2006
The conditioning of linearizations of matrix polynomials. Zbl 1131.65034
Higham, Nicholas J.;Mackey, D. Steven;Tisseur, Françoise
2006
Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2009
Structured factorizations in scalar product spaces. Zbl 1098.15005
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2006
Structured tools for structured matrices. Zbl 1027.15013
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2003
Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2012
Möbius transformations of matrix polynomials. Zbl 1309.65042
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2015
Smith forms of palindromic matrix polynomials. Zbl 1207.15013
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2011
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2009
Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2011
Jordan structures of alternating matrix polynomials. Zbl 1188.15010
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2010
Functions preserving matrix groups and iterations for the matrix square root. Zbl 1079.65053
Higham, Nicholas J.;Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2005
Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2013
\(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces. Zbl 1059.65040
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2004
Computing the polar decomposition and the matrix sign decomposition in matrix groups. Zbl 1066.65033
Higham, Nicholas J.;Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2004
Definite matrix polynomials and their linearization by definite pencils. Zbl 1232.65059
Higham, Nicholas J.;Mackey, D. Steven;Tisseur, Françoise
2009
Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems. Zbl 1166.74009
Higham, Nicholas J.;Mackey, D. Steven;Tisseur, Françoise;Garvey, Seamus D.
2008
Polynomial eigenvalue problems: theory, computation, and structure. Zbl 1327.15017
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2015
Structured mapping problems for matrices associated with scalar products. I: Lie and Jordan algebras. Zbl 1155.15004
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2008
Structure preserving algorithms for perplectic eigenproblems. Zbl 1065.65053
Mackey, D. Steven;Mackey, Niloufer;Dunlavy, Daniel M.
2005
Hamiltonian square roots of skew-Hamiltonian matrices. Zbl 0940.15017
Faßbender, Heike;Mackey, D. Steven;Mackey, Niloufer;Xu, Hongguo
1999
Linearizations of matrix polynomials in Bernstein bases. Zbl 1334.65044
Mackey, D. Steven;Perović, Vasilije
2016
Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems. Zbl 0983.65050
Faßbender, Heike;Mackey, D. Steven;Mackey, Niloufer
2001
Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven;van Dooren, Paul
2016
The continuing influence of Fiedler’s work on companion matrices. Zbl 1281.15008
Mackey, D. Steven
2013
Is every matrix similar to a Toeplitz matrix? Zbl 0939.15003
Mackey, D. Steven;Mackey, Niloufer;Petrovic, Sdrjan
1999
Minimal indices and minimal bases via filtrations. Zbl 1465.15028
Mackey, D. Steven
2021
Structured polynomial eigenproblems related to time-delay systems. Zbl 1188.15007
Fassbender, Heike;Mackey, D. Steven;Mackey, Niloufer;Schröder, Christian
2008
A new algorithm for two-dimensional numerical continuation. Zbl 0840.65037
Melville, R.;Mackey, D. S.
1995
Quasi-triangularization of matrix polynomials over arbitrary fields. Zbl 1514.15018
Anguas, L. M.;Dopico, F. M.;Hollister, R.;Mackey, D. S.
2023
Van Dooren’s index sum theorem and rational matrices with prescribed structural data. Zbl 1428.15016
Anguas, Luis M.;Dopico, FroiláN M.;Hollister, Richard;Mackey, D. Steven
2019
Linearizations of matrix polynomials in Newton bases. Zbl 1398.65064
Perović, Vasilije;Mackey, D. Steven
2018
Quadratic realizability of palindromic matrix polynomials. Zbl 07060483
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven;Perović, Vasilije
2019
Quasi-triangularization of matrix polynomials over arbitrary fields. Zbl 1514.15018
Anguas, L. M.;Dopico, F. M.;Hollister, R.;Mackey, D. S.
2023
Minimal indices and minimal bases via filtrations. Zbl 1465.15028
Mackey, D. Steven
2021
Van Dooren’s index sum theorem and rational matrices with prescribed structural data. Zbl 1428.15016
Anguas, Luis M.;Dopico, FroiláN M.;Hollister, Richard;Mackey, D. Steven
2019
Quadratic realizability of palindromic matrix polynomials. Zbl 07060483
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven;Perović, Vasilije
2019
Linearizations of matrix polynomials in Newton bases. Zbl 1398.65064
Perović, Vasilije;Mackey, D. Steven
2018
Linearizations of matrix polynomials in Bernstein bases. Zbl 1334.65044
Mackey, D. Steven;Perović, Vasilije
2016
Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven;van Dooren, Paul
2016
Möbius transformations of matrix polynomials. Zbl 1309.65042
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2015
Polynomial eigenvalue problems: theory, computation, and structure. Zbl 1327.15017
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2015
Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2014
Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2013
The continuing influence of Fiedler’s work on companion matrices. Zbl 1281.15008
Mackey, D. Steven
2013
Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2012
Smith forms of palindromic matrix polynomials. Zbl 1207.15013
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2011
Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2011
Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024
de Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2010
Jordan structures of alternating matrix polynomials. Zbl 1188.15010
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2010
Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015
De Terán, Fernando;Dopico, Froilán M.;Mackey, D. Steven
2009
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2009
Definite matrix polynomials and their linearization by definite pencils. Zbl 1232.65059
Higham, Nicholas J.;Mackey, D. Steven;Tisseur, Françoise
2009
Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems. Zbl 1166.74009
Higham, Nicholas J.;Mackey, D. Steven;Tisseur, Françoise;Garvey, Seamus D.
2008
Structured mapping problems for matrices associated with scalar products. I: Lie and Jordan algebras. Zbl 1155.15004
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2008
Structured polynomial eigenproblems related to time-delay systems. Zbl 1188.15007
Fassbender, Heike;Mackey, D. Steven;Mackey, Niloufer;Schröder, Christian
2008
Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2006
Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028
Mackey, D. Steven;Mackey, Niloufer;Mehl, Christian;Mehrmann, Volker
2006
Symmetric linearizations for matrix polynomials. Zbl 1137.15006
Higham, Nicholas J.;Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2006
The conditioning of linearizations of matrix polynomials. Zbl 1131.65034
Higham, Nicholas J.;Mackey, D. Steven;Tisseur, Françoise
2006
Structured factorizations in scalar product spaces. Zbl 1098.15005
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2006
Functions preserving matrix groups and iterations for the matrix square root. Zbl 1079.65053
Higham, Nicholas J.;Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2005
Structure preserving algorithms for perplectic eigenproblems. Zbl 1065.65053
Mackey, D. Steven;Mackey, Niloufer;Dunlavy, Daniel M.
2005
\(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces. Zbl 1059.65040
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2004
Computing the polar decomposition and the matrix sign decomposition in matrix groups. Zbl 1066.65033
Higham, Nicholas J.;Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2004
Structured tools for structured matrices. Zbl 1027.15013
Mackey, D. Steven;Mackey, Niloufer;Tisseur, Françoise
2003
Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems. Zbl 0983.65050
Faßbender, Heike;Mackey, D. Steven;Mackey, Niloufer
2001
Hamiltonian square roots of skew-Hamiltonian matrices. Zbl 0940.15017
Faßbender, Heike;Mackey, D. Steven;Mackey, Niloufer;Xu, Hongguo
1999
Is every matrix similar to a Toeplitz matrix? Zbl 0939.15003
Mackey, D. Steven;Mackey, Niloufer;Petrovic, Sdrjan
1999
A new algorithm for two-dimensional numerical continuation. Zbl 0840.65037
Melville, R.;Mackey, D. S.
1995
alltop 5

Cited by 553 Authors

46 Dopico, Froilán M.
32 Mehrmann, Volker
27 Noferini, Vanni
25 de Terán, Fernando
21 Mehl, Christian
18 Mackey, D. Steven
18 Van Dooren, Paul M.
15 Pérez, Javier J.
14 Tisseur, Françoise
13 Alam, Rafikul
12 Faßbender, Heike
11 Benner, Peter
11 De La Cruz, Ralph John Lamadrid
11 Dmytryshyn, Andrii R.
10 Kressner, Daniel
10 Marcaida, Silvia
9 Jarlebring, Elias
9 Lin, Wen-Wei
9 Sharma, Punit
9 Zaballa, Ion
8 Adhikari, Bibhas
8 Quintana, María C.
8 Vandebril, Raf
7 Amparan, Agurtzane
7 Behera, Namita
7 Nakatsukasa, Yuji
7 Poloni, Federico Giovanni
7 Robol, Leonardo
7 Saltenberger, Philip
6 Bueno, María Isabel
6 Chen, Hongjia
6 Furtado, Susana
6 Mackey, Niloufer
6 Sadkane, Miloud
6 Wojtylak, Michał
5 Bora, Shreemayee
5 Das, Ranjan Kumar
5 Li, Rencang
5 Ozdemir, Mustafa Kemal
5 Paras, Agnes T.
5 Ran, André C. M.
5 Rodman, Leiba X.
5 Román, Jose E.
5 Schröder, Christian
5 Voß, Heinrich
5 Xu, Hongguo
4 Anguas, Luis Miguel
4 Campos, Carmen
4 Corless, Robert Malcolm
4 Iannazzo, Bruno
4 Karow, Michael
4 King-wah Chu, Eric
4 Li, Ying
4 Malyshev, Alexander N.
4 Meerbergen, Karl
4 Merino, Dennis I.
4 Perović, Vasilije
4 Sakurai, Tetsuya
4 Taslaman, Leo
4 Townsend, Alex
4 Watkins, David S.
4 Wei, Musheng
4 Zhang, Fengxia
4 Zhao, Jianli
4 Ziętak, Krystyna
3 Ahmad, Sk Safique
3 Begović Kovač, Erna
3 Bini, Dario Andrea
3 Chiang, Chun-Yueh
3 Chu, Moody T.
3 Colakoglu, Harun Baris
3 Correnty, Siobhán
3 Ganai, Tinku
3 Gemignani, Luca
3 Hernando, Carla
3 Hochstenbach, Michiel E.
3 Huang, Tsungming
3 Kanhya, Prince
3 Khare, Swanand R.
3 Kuo, Yueh-Cheng
3 Lancaster, Peter
3 Lawrence, Piers W.
3 Li, Tiexiang
3 Ma, Jian
3 Mach, Thomas
3 Penke, Carolin
3 Prajapati, Anshul
3 Saha, Tanay Kumar
3 Szyld, Daniel B.
3 Vander Meulen, Kevin N.
3 Vologiannidis, Stavros
3 Wang, Xiang
3 Xue, Fei
3 Zheng, Baodong
2 Al-Ammari, Maha
2 Antoniou, Efstathios N.
2 Arslan, Bahar
2 Asakura, Junko
2 Aurentz, Jared Lee
2 Baghel, Mohit Kumar
...and 453 more Authors
alltop 5

Cited in 107 Serials

159 Linear Algebra and its Applications
52 SIAM Journal on Matrix Analysis and Applications
16 Numerical Linear Algebra with Applications
16 ELA. The Electronic Journal of Linear Algebra
15 Linear and Multilinear Algebra
15 Journal of Computational and Applied Mathematics
13 BIT
12 Applied Mathematics and Computation
11 Numerical Algorithms
9 Numerische Mathematik
8 Mathematics of Computation
8 SIAM Journal on Scientific Computing
6 Calcolo
6 Computational and Applied Mathematics
6 ETNA. Electronic Transactions on Numerical Analysis
4 Applied Mathematics Letters
4 Special Matrices
3 Computers & Mathematics with Applications
3 Computer Physics Communications
3 Mathematical Methods in the Applied Sciences
3 Journal of Scientific Computing
3 Japan Journal of Industrial and Applied Mathematics
3 Advances in Applied Clifford Algebras
3 Foundations of Computational Mathematics
2 Journal of Computational Physics
2 Journal of Mathematical Physics
2 Automatica
2 International Journal for Numerical Methods in Engineering
2 The Journal of the Indian Mathematical Society. New Series
2 Results in Mathematics
2 Systems & Control Letters
2 Applied Numerical Mathematics
2 MCSS. Mathematics of Control, Signals, and Systems
2 International Journal of Computer Mathematics
2 Mathematical Programming. Series A. Series B
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Vietnam Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Mathematical and Computer Modelling of Dynamical Systems
2 Discrete Dynamics in Nature and Society
2 Mediterranean Journal of Mathematics
2 Acta Numerica
2 GAMM-Mitteilungen
2 Frontiers of Mathematics in China
2 Asian-European Journal of Mathematics
2 Axioms
1 Acta Mechanica
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Matimyás Matematika
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 ACM Transactions on Mathematical Software
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Multivariate Analysis
1 Journal of Pure and Applied Algebra
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Computational Mechanics
1 Journal of Theoretical Probability
1 Multidimensional Systems and Signal Processing
1 Journal of Global Optimization
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 SIAM Review
1 Applied Mathematics. Series B (English Edition)
1 Calculus of Variations and Partial Differential Equations
1 Turkish Journal of Mathematics
1 Economic Theory
1 Filomat
1 Advances in Computational Mathematics
1 Multibody System Dynamics
1 Taiwanese Journal of Mathematics
1 European Journal of Mechanics. A. Solids
1 The ANZIAM Journal
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Sarajevo Journal of Mathematics
1 Communications in Computational Physics
1 Operators and Matrices
1 International Electronic Journal of Geometry
1 Banach Journal of Mathematical Analysis
1 ACM Communications in Computer Algebra
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Advances in Numerical Analysis
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Numerical Algebra, Control and Optimization
1 S\(\vec{\text{e}}\)MA Journal
1 Forum of Mathematics, Sigma
...and 7 more Serials
alltop 5

Cited in 49 Fields

358 Linear and multilinear algebra; matrix theory (15-XX)
303 Numerical analysis (65-XX)
44 Systems theory; control (93-XX)
40 Operator theory (47-XX)
22 Ordinary differential equations (34-XX)
16 Partial differential equations (35-XX)
12 Mechanics of deformable solids (74-XX)
11 Differential geometry (53-XX)
10 Mechanics of particles and systems (70-XX)
9 Combinatorics (05-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Optics, electromagnetic theory (78-XX)
7 Number theory (11-XX)
7 Quantum theory (81-XX)
6 Approximations and expansions (41-XX)
6 Computer science (68-XX)
6 Operations research, mathematical programming (90-XX)
5 Functional analysis (46-XX)
5 Information and communication theory, circuits (94-XX)
4 Associative rings and algebras (16-XX)
4 Real functions (26-XX)
4 Functions of a complex variable (30-XX)
3 Commutative algebra (13-XX)
3 Nonassociative rings and algebras (17-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Manifolds and cell complexes (57-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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