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Mackey, D. Steven

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Author ID: mackey.d-steven Recent zbMATH articles by "Mackey, D. Steven"
Published as: Mackey, D.; Mackey, D. S.; Mackey, D. Steven
Documents Indexed: 36 Publications since 1995

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 874 times in 352 Documents Cited by Year
Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
116
2006
Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
114
2006
Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024
de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
57
2010
Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
54
2014
Symmetric linearizations for matrix polynomials. Zbl 1137.15006
Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
50
2006
The conditioning of linearizations of matrix polynomials. Zbl 1131.65034
Higham, Nicholas J.; Mackey, D. Steven; Tisseur, Françoise
39
2006
Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
35
2009
Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
30
2012
Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
29
2011
Structured tools for structured matrices. Zbl 1027.15013
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
29
2003
Smith forms of palindromic matrix polynomials. Zbl 1207.15013
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
28
2011
Möbius transformations of matrix polynomials. Zbl 1309.65042
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
27
2015
Structured factorizations in scalar product spaces. Zbl 1098.15005
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
26
2006
Jordan structures of alternating matrix polynomials. Zbl 1188.15010
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
25
2010
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
25
2009
Functions preserving matrix groups and iterations for the matrix square root. Zbl 1079.65053
Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
22
2005
Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
18
2013
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
16
2004
Definite matrix polynomials and their linearization by definite pencils. Zbl 1232.65059
Higham, Nicholas J.; Mackey, D. Steven; Tisseur, Françoise
13
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.
13
2008
\(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces. Zbl 1059.65040
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
13
2004
Structure preserving algorithms for perplectic eigenproblems. Zbl 1065.65053
Mackey, D. Steven; Mackey, Niloufer; Dunlavy, Daniel M.
12
2005
Hamiltonian square roots of skew-Hamiltonian matrices. Zbl 0940.15017
Faßbender, Heike; Mackey, D. Steven; Mackey, Niloufer; Xu, Hongguo
12
1999
Structured mapping problems for matrices associated with scalar products. I: Lie and Jordan algebras. Zbl 1155.15004
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
11
2008
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
10
2016
Polynomial eigenvalue problems: theory, computation, and structure. Zbl 1327.15017
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
9
2015
Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems. Zbl 0983.65050
Faßbender, Heike; Mackey, D. Steven; Mackey, Niloufer
9
2001
Linearizations of matrix polynomials in Bernstein bases. Zbl 1334.65044
Mackey, D. Steven; Perović, Vasilije
7
2016
The continuing influence of Fiedler’s work on companion matrices. Zbl 1281.15008
Mackey, D. Steven
7
2013
Structured polynomial eigenproblems related to time-delay systems. Zbl 1188.15007
Fassbender, Heike; Mackey, D. Steven; Mackey, Niloufer; Schröder, Christian
6
2008
A new algorithm for two-dimensional numerical continuation. Zbl 0840.65037
Melville, R.; Mackey, D. S.
6
1995
Is every matrix similar to a Toeplitz matrix? Zbl 0939.15003
Mackey, D. Steven; Mackey, Niloufer; Petrovic, Sdrjan
5
1999
Modelling random antibody adsorption and immunoassay activity. Zbl 1347.92035
Mackey, D.; Kelly, E.; Nooney, R.
1
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
10
2016
Linearizations of matrix polynomials in Bernstein bases. Zbl 1334.65044
Mackey, D. Steven; Perović, Vasilije
7
2016
Modelling random antibody adsorption and immunoassay activity. Zbl 1347.92035
Mackey, D.; Kelly, E.; Nooney, R.
1
2016
Möbius transformations of matrix polynomials. Zbl 1309.65042
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
27
2015
Polynomial eigenvalue problems: theory, computation, and structure. Zbl 1327.15017
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
9
2015
Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
54
2014
Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
18
2013
The continuing influence of Fiedler’s work on companion matrices. Zbl 1281.15008
Mackey, D. Steven
7
2013
Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
30
2012
Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
29
2011
Smith forms of palindromic matrix polynomials. Zbl 1207.15013
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
28
2011
Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024
de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
57
2010
Jordan structures of alternating matrix polynomials. Zbl 1188.15010
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
25
2010
Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
35
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
25
2009
Definite matrix polynomials and their linearization by definite pencils. Zbl 1232.65059
Higham, Nicholas J.; Mackey, D. Steven; Tisseur, Françoise
13
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.
13
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
11
2008
Structured polynomial eigenproblems related to time-delay systems. Zbl 1188.15007
Fassbender, Heike; Mackey, D. Steven; Mackey, Niloufer; Schröder, Christian
6
2008
Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
116
2006
Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
114
2006
Symmetric linearizations for matrix polynomials. Zbl 1137.15006
Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
50
2006
The conditioning of linearizations of matrix polynomials. Zbl 1131.65034
Higham, Nicholas J.; Mackey, D. Steven; Tisseur, Françoise
39
2006
Structured factorizations in scalar product spaces. Zbl 1098.15005
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
26
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
22
2005
Structure preserving algorithms for perplectic eigenproblems. Zbl 1065.65053
Mackey, D. Steven; Mackey, Niloufer; Dunlavy, Daniel M.
12
2005
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
16
2004
\(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces. Zbl 1059.65040
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
13
2004
Structured tools for structured matrices. Zbl 1027.15013
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
29
2003
Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems. Zbl 0983.65050
Faßbender, Heike; Mackey, D. Steven; Mackey, Niloufer
9
2001
Hamiltonian square roots of skew-Hamiltonian matrices. Zbl 0940.15017
Faßbender, Heike; Mackey, D. Steven; Mackey, Niloufer; Xu, Hongguo
12
1999
Is every matrix similar to a Toeplitz matrix? Zbl 0939.15003
Mackey, D. Steven; Mackey, Niloufer; Petrovic, Sdrjan
5
1999
A new algorithm for two-dimensional numerical continuation. Zbl 0840.65037
Melville, R.; Mackey, D. S.
6
1995
all top 5

Cited by 422 Authors

33 Dopico, Froilán M.
26 Mehrmann, Volker
19 de Terán, Fernando
18 Mehl, Christian
16 Mackey, D. Steven
16 Noferini, Vanni
13 Tisseur, Françoise
13 Van Dooren, Paul M.
12 Alam, Rafikul
12 Pérez, Javier J.
11 Faßbender, Heike
11 Lin, Wen-Wei
9 Kressner, Daniel
8 Bueno, María Isabel
7 Dmytryshyn, Andrii R.
7 Mackey, Niloufer
7 Vandebril, Raf
6 De La Cruz, Ralph John Lamadrid
6 Furtado, Susana
6 Marcaida, Silvia
6 Poloni, Federico G.
5 Adhikari, Bibhas
5 Benner, Peter
5 Li, Rencang
5 Nakatsukasa, Yuji
5 Paras, Agnes T.
5 Ran, André C. M.
5 Robol, Leonardo
5 Rodman, Leiba X.
5 Saltenberger, Philip
5 Xu, Hongguo
5 Zaballa, Ion
4 Amparan, A.
4 Das, Ranjan Kumar
4 Jarlebring, Elias
4 King-wah Chu, Eric
4 Merino, Dennis I.
4 Safique Ahmad, Sk.
4 Schröder, Christian
4 Sharma, Punit
4 Taslaman, Leo
4 Watkins, David S.
4 Ziętak, Krystyna
3 Anguas, Luis Miguel
3 Behera, Namita
3 Bora, Shreemayee
3 Bueno, Maribel I.
3 Chiang, Chun-Yueh
3 Chu, Moody T.
3 Hochstenbach, Michiel E.
3 Huang, Tsungming
3 Iannazzo, Bruno
3 John de la Cruz, Ralph
3 Karow, Michael
3 Kuo, Yueh-Cheng
3 Lawrence, Piers W.
3 Li, Tiexiang
3 Ma, Jian
3 Mach, Thomas
3 Malyshev, Alexander N.
3 Meerbergen, Karl
3 Perović, Vasilije
3 Román, Jose E.
3 Sadkane, Miloud
3 Townsend, Alex
3 Vander Meulen, Kevin N.
3 Vologiannidis, Stavros
3 Voss, Heinrich
3 Wei, Musheng
3 Wojtylak, Michał
3 Zheng, Baodong
2 Al-Ammari, Maha
2 Antoniou, Efstathios N.
2 Aurentz, Jared Lee
2 Batzke, Leonhard
2 Begović Kovač, Erna
2 Benzi, Michele
2 Bini, Dario Andrea
2 Brodzik, M. L.
2 Byers, Ralph
2 Campos, Carmen
2 Cheng, Lizhi
2 Corless, Robert Malcolm
2 Del Corso, Gianna M.
2 Dieci, Luca
2 Dosso, Mouhamadou
2 Eastman, Brydon
2 Effenberger, Cedric
2 Gawlik, Evan S.
2 Gemignani, Luca
2 Gondolo, Paolo
2 Guo, Chun-Hua
2 Güttel, Stefan
2 Haghani, Farhad Khaksar
2 Hernando, Carla
2 Higham, Nicholas J.
2 Ikramov, Saidkhakim Dododshanovich
2 Janse van Rensburg, D. B.
2 Jeng, Dongsheng
2 Johnson, Charles Royal
...and 322 more Authors
all top 5

Cited in 83 Serials

125 Linear Algebra and its Applications
35 SIAM Journal on Matrix Analysis and Applications
14 Journal of Computational and Applied Mathematics
11 Applied Mathematics and Computation
9 Numerische Mathematik
9 Numerical Linear Algebra with Applications
8 Linear and Multilinear Algebra
8 Mathematics of Computation
8 BIT
7 ELA. The Electronic Journal of Linear Algebra
6 Numerical Algorithms
5 SIAM Journal on Scientific Computing
4 Computational and Applied Mathematics
4 Special Matrices
3 Computers & Mathematics with Applications
3 Calcolo
3 Applied Mathematics Letters
3 Advances in Applied Clifford Algebras
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 International Journal for Numerical Methods in Engineering
2 Systems & Control Letters
2 Applied Numerical Mathematics
2 Journal of Scientific Computing
2 Japan Journal of Industrial and Applied Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 ETNA. Electronic Transactions on Numerical Analysis
2 Vietnam Journal of Mathematics
2 Mathematical and Computer Modelling of Dynamical Systems
2 Discrete Dynamics in Nature and Society
2 Foundations of Computational Mathematics
2 Acta Numerica
2 Frontiers of Mathematics in China
2 Axioms
1 Acta Mechanica
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Geometry and Physics
1 Automatica
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 Journal of Symbolic Computation
1 Journal of Complexity
1 Computational Mechanics
1 MCSS. Mathematics of Control, Signals, and Systems
1 Multidimensional Systems and Signal Processing
1 Journal of Global Optimization
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 SIAM Review
1 Mathematical Programming. Series A. Series B
1 Applied Mathematics. Series B (English Edition)
1 Multibody System Dynamics
1 Taiwanese Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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 GAMM-Mitteilungen
1 Operators and Matrices
1 Asian-European Journal of Mathematics
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 S\(\vec{\text{e}}\)MA Journal
1 Forum of Mathematics, Sigma
1 Mathematical Sciences
1 JSIAM Letters
1 Electronic Journal of Mathematical Analysis and Applications EJMAA
1 East Asian Journal on Applied Mathematics
1 Cogent Mathematics
1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
all top 5

Cited in 44 Fields

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

Citations by Year