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Rodman, Leiba X.

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Author ID: rodman.leiba-x Recent zbMATH articles by "Rodman, Leiba X."
Published as: Rodman, L.; Rodman, Leiba; Rodman, Leiba X.
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 340 Publications since 1978, including 18 Books
Reviewing Activity: 153 Reviews
Biographic References: 1 Publication
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Co-Authors

48 single-authored
57 Ran, André C. M.
56 Gohberg, Israel
39 Spitkovsky, Ilya Matvey
29 Lancaster, Peter
28 Li, Chi-Kwong
26 Ball, Joseph Anthony
20 Bolotnikov, Vladimir
20 Lerer, Leonid Efimovich
17 Mehl, Christian
16 Van der Mee, Cornelis Victor Maria
15 Woerdeman, Hugo Jan
11 Kaashoek, Marinus Adriaan
11 Šemrl, Peter
10 Helton, John William
9 Alpay, Daniel Aron
8 Pierce, Stephen J.
7 Johnson, Charles Royal
6 Gurvits, Leonid
6 Mehrmann, Volker
6 Shalom, Tamir
5 Kheifets, Alexander
4 Bolshakov, Yuri
4 McCullough, Scott A.
4 Reichstein, Boris
3 Brudnyi, Alexander
3 Cohen, Nir
3 Kuzma, Bojan
3 Markus, Alexander S.
3 Meade, Patrick R.
2 Bakonyi, Mihály
2 Bart, Harm
2 Câmara, Maria Cristina
2 Clark, Sean
2 Curtain, Ruth Frances
2 Đoković, Dragomir Ž.
2 Herrero, Domingo Antonio
2 Klaus, Martin
2 Leiterer, Jürgen
2 Lešnjak, Gorazd
2 Lewkowicz, Izchak
2 Lins, Brian
2 Mehta, Paras P.
2 Petek, Tatjana
2 Rakowski, Marek
2 Reurings, Martine C. B.
2 Tismenetsky, Miron
1 Agler, Jim
1 Au-Yeung, Yik-Hoi
1 Ballantine, C. S.
1 Bar-Itzhack, Itzhack Y.
1 Batzke, Leonhard
1 Ben-Artzi, Asher
1 Bru, Rafael
1 Cheung, Waishun
1 Clancey, Kevin F.
1 Cohen, Adam L.
1 Diogo, Cristina
1 Dym, Harry
1 Ehrhardt, Torsten
1 Eldred, Jeffrey
1 Fong, Che-Kao
1 Gekhtman, Michael I.
1 Guralnick, Robert Michael
1 Hershkowitz, Daniel
1 Jafarian, Ali A.
1 Karlovich, Yuri I.
1 Keeler, Dennis Shawn
1 Kim, Jeongook
1 Koltracht, Israel
1 Krupnik, Mark
1 Lin, Julia Shih-Jung
1 Mahle, Jennifer
1 Mbekhta, Mostafa
1 Nylen, Peter M.
1 O’Leary, Dianne P.
1 Pankov, Andrey V.
1 Paulsen, Vern Ival
1 Prells, Uwe
1 Quint, Daniel
1 Rastogi, Ashwin
1 Rubin, Arthur Leonard
1 Rubin, Jonathan E.
1 Schaps, Mary Elizabeth
1 Schneider, Hans
1 Seyalioglu, Hakan Ali-John
1 Shapiro, Helene Marian
1 Sourour, Ahmed Ramzi
1 Stanford, David P.
1 Szkoła, Arleta
1 Temme, Dirk
1 Tretter, Christiane
1 Tsing, Nam-Kiu
1 Verma, Madanpal S.
1 Volok, Dan
1 Weis, Stephan
1 Yarkoni, Elad J.
1 Zobin, Nahum
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Serials

63 Linear Algebra and its Applications
37 Integral Equations and Operator Theory
34 Linear and Multilinear Algebra
18 SIAM Journal on Matrix Analysis and Applications
16 ELA. The Electronic Journal of Linear Algebra
12 Journal of Mathematical Analysis and Applications
10 Journal of Functional Analysis
8 Operator Theory: Advances and Applications
6 Proceedings of the American Mathematical Society
5 Systems & Control Letters
4 Canadian Journal of Mathematics
3 Rocky Mountain Journal of Mathematics
3 Canadian Mathematical Bulletin
3 Indiana University Mathematics Journal
3 Journal of Operator Theory
3 MCSS. Mathematics of Control, Signals, and Systems
2 American Mathematical Monthly
2 Applicable Analysis
2 Houston Journal of Mathematics
2 International Journal of Control
2 Israel Journal of Mathematics
2 Manuscripta Mathematica
2 Mathematical Systems Theory
2 SIAM Journal on Control and Optimization
2 Indagationes Mathematicae. New Series
2 Classics in Applied Mathematics
2 Complex Analysis and Operator Theory
2 Operators and Matrices
1 Bulletin of the Australian Mathematical Society
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Obzornik za Matematiko in Fiziko
1 Journal of Guidance, Control and Dynamics
1 Acta Scientiarum Mathematicarum
1 The Annals of Probability
1 BIT
1 Illinois Journal of Mathematics
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 SIAM Journal on Algebraic and Discrete Methods
1 Glasnik Matematički. Serija III
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série I
1 The New York Journal of Mathematics
1 The Journal of Fourier Analysis and Applications
1 Taiwanese Journal of Mathematics
1 Annals of Mathematics. Second Series
1 Bulletin of the American Mathematical Society
1 Canadian Mathematical Society Series of Monographs and Advanced Texts
1 Banach Journal of Mathematical Analysis
1 Princeton Series in Applied Mathematics
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Fields

213 Linear and multilinear algebra; matrix theory (15-XX)
153 Operator theory (47-XX)
48 Systems theory; control (93-XX)
27 Functional analysis (46-XX)
20 Functions of a complex variable (30-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
13 Approximations and expansions (41-XX)
11 Ordinary differential equations (34-XX)
9 General and overarching topics; collections (00-XX)
8 Abstract harmonic analysis (43-XX)
8 Numerical analysis (65-XX)
7 Difference and functional equations (39-XX)
7 Integral equations (45-XX)
6 Combinatorics (05-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 History and biography (01-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Field theory and polynomials (12-XX)
3 Group theory and generalizations (20-XX)
3 Real functions (26-XX)
3 Geometry (51-XX)
3 Probability theory and stochastic processes (60-XX)
2 Algebraic geometry (14-XX)
2 Associative rings and algebras (16-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH

284 Publications have been cited 3,937 times in 2,409 Documents Cited by Year
Matrix polynomials. Zbl 0482.15001
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
426
1982
Algebraic Riccati equations. Zbl 0836.15005
Lancaster, Peter; Rodman, Leiba
405
1995
Invariant subspaces of matrices with applications. Zbl 0608.15004
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
245
1986
Interpolation of rational matrix functions. Zbl 0708.15011
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
237
1990
Matrices and indefinite scalar products. Zbl 0513.15006
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
159
1983
Indefinite linear algebra and applications. Zbl 1084.15005
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
97
2005
Errata to: Two-sided tangential interpolation of real rational matrix functions. Zbl 0835.41005
Ball, J. A.; Gohberg, I.; Rodman, L.
75
1994
Spectral analysis of matrix polynomials. I. Canonical forms and divisors. Zbl 0375.15008
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
59
1978
The numerical range of \(3 \times 3\) matrices. Zbl 0876.15020
Keeler, Dennis S.; Rodman, Leiba; Spitkovsky, Ilya M.
58
1997
Topics in quaternion linear algebra. Zbl 1304.15004
Rodman, Leiba
54
2014
Existence and uniqueness theorems for the algebraic Riccati equation. Zbl 0439.49011
Lancaster, Peter; Rodman, Leiba
53
1980
Spectral analysis of selfadjoint matrix polynomials. Zbl 0446.15007
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
52
1980
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. Zbl 1087.15014
Lancaster, Peter; Rodman, Leiba
49
2005
Numerical range of matrix polynomials. Zbl 0814.15023
Li, Chi-Kwong; Rodman, Leiba
42
1994
Matrix polynomials. Reprint of the 1982 original. Zbl 1170.15300
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
39
2009
An introduction to operator polynomials. Zbl 0685.47011
Rodman, Leiba
34
1989
Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence. Zbl 1081.15007
Lancaster, P.; Rodman, L.
31
2005
Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
29
2011
Invariant subspaces of matrics with applications. Reprint of the 1986 original. Zbl 1093.15502
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
29
2006
Positive semidefinite matrices with a given sparsity pattern. Zbl 0655.15016
Agler, Jim; Helton, William; McCullough, Scott; Rodman, Leiba
28
1988
Inertia possibilities for completions of partial Hermitian matrices. Zbl 0548.15020
Johnson, Charles R.; Rodman, Leiba
28
1984
On Hermitian solutions of the symmetric algebraic Riccati equation. Zbl 0607.93013
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
27
1986
Ranks of completions of partial matrices. Zbl 0676.15001
Cohen, Nir; Johnson, Charles R.; Rodman, Leiba; Woerdeman, Hugo J.
25
1989
Stability of invariant maximal semidefinite subspaces. I. Zbl 0561.15001
Ran, A. C. M.; Rodman, Leiba
24
1984
Analytic matrix functions with prescribed local data. Zbl 0496.15013
Gohberg, Israel; Rodman, Leiba
24
1981
Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors. Zbl 0385.15007
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
24
1978
Common multiples and common divisors of matrix polynomials. I: Spectral method. Zbl 0449.15015
Gohberg, Israel; Kaashoek, M. A.; Lerer, L.; Rodman, Leiba
23
1981
Factorization of selfadjoint matrix polynomials with constant signature. Zbl 0486.15008
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
22
1982
On the eigenvalues of matrices with given upper triangular part. Zbl 0706.15010
Ball, J. A.; Gohberg, Israel; Rodman, Leiba; Shalom, T.
21
1990
Common multiples and common divisors of matrix polynomials. II. Vandermonde and resultant matrices. Zbl 0496.15014
Gohberg, Israel; Kaashoek, M. A.; Lerer, L.; Rodman, Leiba
20
1982
On spectral analysis of non-monic matrix and operator polynomials. I: reduction to monic polynomials. Zbl 0396.47009
Gohberg, Israel; Rodman, Leiba
20
1978
Factorization indices for matrix polynomials. Zbl 0381.30020
Gohberg, Israel; Lerer, L.; Rodman, Leiba
20
1978
A generalized numerical range: The range of a constrained sesquilinear form. Zbl 0819.15018
Li, Chi-Kwong; Mehta, Paras P.; Rodman, Leiba
19
1994
Hermitian solutions of the discrete algebraic Riccati equation. Zbl 0598.15011
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
19
1986
Polar decompositions in finite dimensional indefinite scalar product spaces: General theory. Zbl 0881.15013
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
18
1997
On the distance between lattices of invariant subspaces of matrices. Zbl 0586.15001
Gohberg, Israel; Rodman, Leiba
18
1986
Representations and divisibility of operator polynomials. Zbl 0363.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
18
1978
Linear maps on selfadjoint operators preserving invertibility, positive definiteness, numerical range. Zbl 1056.47018
Li, Chi-Kwong; Rodman, Leiba; Šemrl, Peter
17
2003
Linear transformations between matrix spaces that map one rank specific set into another. Zbl 1022.15001
Li, Chi-Kwong; Rodman, Leiba; Šemrl, Peter
17
2002
Controllability by completions of partial upper triangular matrices. Zbl 0780.93009
Gurvits, Leonid; Rodman, Leiba; Shalom, Tamir
17
1993
Completion of partial matrices to contractions. Zbl 0626.47015
Johnson, Charles R.; Rodman, Leiba
17
1986
Jordan forms of completions of partial upper triangular matrices. Zbl 0748.15011
Rodman, Leiba; Shalom, Tamir
16
1992
Bezoutian and Schur-Cohn problem for operator polynomials. Zbl 0567.47016
Lerer, L.; Rodman, Leiba; Tismenetsky, M.
16
1984
Minimal divisors of rational matrix functions with prescribed zero and pole structure. Zbl 0541.47012
Gohberg, Israel; Kaashoek, M. A.; Lerer, L.; Rodman, Leiba
16
1984
Analytic operator functions with compact spectrum. II. Spectral pairs and factorization. Zbl 0493.47015
Kaashoek, M. A.; Van der Mee, Cornelis V. M.; Rodman, Leiba
16
1982
Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix, 1. The finite-dimensional case. Zbl 0453.15005
Gohberg, Israel; Kaashoek, M. A.; Rodman, Leiba
16
1978
Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
15
2013
Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
15
2012
Remarks on numerical ranges of operators in spaces with an indefinite metric. Zbl 0897.15012
Li, Chi-Kwong; Rodman, Leiba
15
1998
Hereditary classes of operators and matrices. Zbl 0909.47016
McCullough, Scott A.; Rodman, Leiba
15
1997
Comparison theorems for infinite-dimensional Riccati equations. Zbl 0716.93021
Curtain, Ruth F.; Rodman, Leiba
15
1990
Two-sided Lagrange-Sylvester interpolation problems for rational matrix functions. Zbl 0712.15032
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
15
1990
Signature preserving linear maps of Hermitian matrices. Zbl 0557.15011
Helton, J. W.; Rodman, Leiba
15
1985
Perturbations of H-selfadjoint matrices, with applications to differential equations. Zbl 0511.15010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
15
1982
Analytic operator functions with compact spectrum. I. Spectral nodes, linearization and equivalence. Zbl 0476.47013
Kaashoek, M. A.; van der Mee, Cornelis V. M.; Rodman, Leiba
14
1981
Stable factorization of operator polynomials. I: Spectral divisors simply behaved at infinity. Zbl 0447.47009
Gohberg, Israel; Lerer, L.; Rodman, Leiba
14
1980
3 x 3 matrices with a flat portion on the boundary of the numerical range. Zbl 1071.15029
Rodman, L.; Spitkovsky, I. M.
13
2005
Shapes and computer generation of numerical ranges of Krein space operators. Zbl 0905.47027
Li, Chi-Kwong; Rodman, Leiba
13
1998
Carathéodory-Toeplitz and Nehari problems for matrix valued almost periodic functions. Zbl 0896.42005
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J.
13
1998
Controllability and completion of partial upper triangular matrices over rings. Zbl 0755.93009
Gurvits, Leonid; Rodman, Leiba; Shalom, Tamir
13
1992
Extensions of Jordan bases for invariant subspaces of a matrix. Zbl 0726.15005
Bru, Rafael; Rodman, Leiba; Schneider, Hans
13
1991
The ranks of extremal positive semidefinite matrices with given sparsity pattern. Zbl 0726.05054
Helton, J. W.; Pierce, S.; Rodman, Leiba
13
1989
Convex sets of Hermitian matrices with constant inertia. Zbl 0577.15007
Johnson, Charles R.; Rodman, Leiba
13
1985
Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case. Zbl 0404.47011
Gohberg, Israel; Kaashoek, M. A.; Rodman, Leiba
13
1978
Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. Zbl 1291.15061
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
12
2014
Similarity vs unitary similarity and perturbation analysis of sign characteristics: complex and real indefinite inner products. Zbl 1098.15023
Rodman, Leiba
12
2006
Extension of isometries in finite-dimensional indefinite scalar product spaces and polar decompositions. Zbl 0874.15022
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
12
1997
Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications. Zbl 0706.15029
Ran, André C. M.; Rodman, Leiba
12
1990
Minimal factorization of meromorphic matrix functions in terms of local data. Zbl 0621.47020
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
12
1987
Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0861.15012
Bolshakov, Y.; van der Mee, Cornelis V. M.; Ran, A. C. M.; Reichstein, B.; Rodman, Leiba
11
1996
The two-sided residue interpolation in the Stieltjes class of matrix functions. Zbl 0854.15009
Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
11
1994
Realization and factorization for rational matrix functions with symmetries. Zbl 0735.15011
Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
11
1990
Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations. Zbl 0593.15008
Ran, A. C. M.; Rodman, Leiba
11
1984
On spectral analysis of non-monic matrix and operator polynomials. II. Dependence on the finite spectral data. Zbl 0404.47012
Gohberg, Israel; Rodman, Leiba
11
1978
Linear maps preserving generalized invertibility. Zbl 1111.47031
Mbekhta, Mostafa; Rodman, Leiba; Šemrl, Peter
10
2006
Factorization of matrix polynomials with symmetries. Zbl 0810.15005
Ran, André C. M.; Rodman, Leiba
10
1994
Simultaneous residue interpolation problems for rational matrix functions. Zbl 0713.15009
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
10
1990
Tangential interpolation problems for rational matrix functions. Zbl 0699.30029
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
10
1990
Stable factorization of operator polynomials. II: Main results and applications to Toeplitz operators. Zbl 0447.47010
Gohberg, Israel; Lerer, L.; Rodman, Leiba
10
1980
On the partial multiplicities of a product of two matrix polynomials. Zbl 0432.15006
Rodman, Leiba; Schaps, Mary
10
1979
Perturbation theory for divisors of operator polynomials. Zbl 0427.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
10
1979
Canonical forms for mixed symmetric-skewsymmetric quaternion matrix pencils. Zbl 1118.15012
Rodman, Leiba
9
2007
A perturbation analysis for nonlinear selfadjoint operator equations. Zbl 1105.47053
Ran, A. C. M.; Reurings, M. C. B.; Rodman, L.
9
2006
Some results on numerical ranges and factorizations of matrix polynomials. Zbl 0883.15016
Markus, Alexander S.; Rodman, Leiba
9
1997
Stable hermitian solutions of discrete algebraic Riccati equations. Zbl 0771.93059
Ran, André C. M.; Rodman, Leiba
9
1992
Linear operators preserving certain equivalence relations originating in system theory. Zbl 0759.93051
Li, Chi-Kwong; Rodman, Leiba; Tsing, Nam-Kiu
9
1992
Analytic operator functions with compact spectrum. III: Hilbert space case: Inverse problem and applications. Zbl 0536.47016
Kaashoek, M. A.; van der Mee, Cornelis V. M.; Rodman, Leiba
9
1983
Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations. Zbl 0516.47022
Ran, A. C. M.; Rodman, Leiba
9
1983
On selfadjoint matrix polynomials. Zbl 0424.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
9
1979
Continuity of the maximum-entropy inference: convex geometry and numerical ranges approach. Zbl 1403.81008
Rodman, Leiba; Spitkovsky, Ilya M.; Szkoła, Arleta; Weis, Stephan
8
2016
Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. Zbl 1163.15030
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
8
2009
H-unitary and Lorentz matrices: A review. Zbl 1063.15021
Au-Yeung, Yik-Hoi; Li, Chi-Kwong; Rodman, Leiba
8
2004
Multiplicative maps on invertible matrices that preserve matricial properties. Zbl 1042.15004
Guralnick, Robert M.; Li, Chi-Kwong; Rodman, Leiba X.
8
2003
Isometries of symmetric gauge functions. Zbl 0736.15012
Đoković, Dragomir Ž.; Li, Chi-Kwong; Rodman, Leiba
8
1991
Quadratic matrix polynomials with a parameter. Zbl 0623.15003
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1986
Perturbations of analytic Hermitian matrix functions. Zbl 0548.47012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1985
A sign characteristic for self-adjoint meromorphic matrix functions. Zbl 0494.15012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1983
Generic rank-\(k\) perturbations of structured matrices. Zbl 1371.15013
Batzke, Leonhard; Mehl, Christian; Ran, André C. M.; Rodman, Leiba
7
2016
Remarks on Lipschitz properties of matrix groups actions. Zbl 1215.15013
Rodman, Leiba
7
2011
On generalized numerical ranges of quadratic operators. Zbl 1151.47009
Rodman, Leiba; Spitkovsky, Ilya M.
7
2008
Continuity of the maximum-entropy inference: convex geometry and numerical ranges approach. Zbl 1403.81008
Rodman, Leiba; Spitkovsky, Ilya M.; Szkoła, Arleta; Weis, Stephan
8
2016
Generic rank-\(k\) perturbations of structured matrices. Zbl 1371.15013
Batzke, Leonhard; Mehl, Christian; Ran, André C. M.; Rodman, Leiba
7
2016
Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. Zbl 1335.15013
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
2
2016
Topics in quaternion linear algebra. Zbl 1304.15004
Rodman, Leiba
54
2014
Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. Zbl 1291.15061
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
12
2014
One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols. Zbl 1310.47040
Câmara, M. C.; Rodman, L.; Spitkovsky, I. M.
4
2014
Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
15
2013
Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
15
2012
Stability of invariant subspaces of quaternion matrices. Zbl 1273.15016
Rodman, Leiba
4
2012
Numerical ranges of companion matrices: flat portions on the boundary. Zbl 1262.15025
Eldred, Jeffrey; Rodman, Leiba; Spitkovsky, Ilya
4
2012
Smoothness of generalized inverses. Zbl 1255.46025
Leiterer, Jürgen; Rodman, Leiba
2
2012
Lipschitz properties of structure preserving matrix perturbations. Zbl 1298.15043
Rodman, Leiba
2
2012
Smoothness of generalized inverses. Zbl 1256.46027
Leiterer, Jürgen; Rodman, Leiba
2
2012
Jordan structures and lattices of invariant subspaces of real matrices. Zbl 1248.15011
Rodman, Leiba
1
2012
Factorization versus invertibility of matrix functions on compact abelian groups. Zbl 1279.47029
Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M.
1
2012
Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
29
2011
Remarks on Lipschitz properties of matrix groups actions. Zbl 1215.15013
Rodman, Leiba
7
2011
Norm preservers of Jordan products. Zbl 1254.15030
Kuzma, Bojan; Lesnjak, Gorazd; Li, Chi-Kwong; Petek, Tatjana; Rodman, Leiba
5
2011
Ratio numerical ranges of operators. Zbl 1239.47006
Rodman, Leiba; Spitkovsky, Ilya M.
3
2011
Non-denseness of factorable matrix functions. Zbl 1230.47037
Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M.
2
2011
Tracial numerical ranges and linear dependence of operators. Zbl 1226.47007
Kuzma, Bojan; Li, Chi-Kwong; Rodman, Leiba
2
2011
Fredholmness of Toeplitz operators and corona problems. Zbl 1205.47026
Câmara, M. C.; Diogo, C.; Rodman, L.
6
2010
On common invariant cones for families of matrices. Zbl 1188.15028
Rodman, Leiba; Seyalioglu, Hakan; Spitkovsky, Ilya M.
6
2010
Conditions for linear dependence of two operators. Zbl 1206.47005
Kuzma, Bojan; Lešnjak, Gorazd; Li, Chi-Kwong; Petek, Tatjana; Rodman, Leiba
5
2010
Projective free algebras of continuous functions on compact Abelian groups. Zbl 1204.43001
Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M.
4
2010
Almost periodic factorization of \(2\times 2\) triangular matrix functions: new cases of off diagonal spectrum. Zbl 1215.47019
Rastogi, Ashwin; Rodman, Leiba; Spitkovsky, Ilya M.
4
2010
A localization technique for linear preserver problems. Zbl 1215.15031
Rodman, Leiba; Šemrl, Peter
3
2010
Analytic solutions of matrix Riccati equations with analytic coefficients. Zbl 1273.47020
Curtain, Ruth; Rodman, Leiba
1
2010
Ranges of Sylvester maps and a minimal rank problem. Zbl 1191.15002
Ran, Andre C. M.; Rodman, Leiba X.
1
2010
Matrix polynomials. Reprint of the 1982 original. Zbl 1170.15300
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
39
2009
Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. Zbl 1163.15030
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
8
2009
Linear preservers of higher rank numerical ranges and radii. Zbl 1200.15012
Clark, Sean; Li, Chi-Kwong; Mahle, Jennifer; Rodman, Leiba
3
2009
Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices. Zbl 1172.15003
Li, Chi-Kwong; Rodman, Leiba
3
2009
Preservers of generalized orthogonality on finite dimensional real vector and projective spaces. Zbl 1190.15029
Rodman, L.; Šemrl, P.
1
2009
On generalized numerical ranges of quadratic operators. Zbl 1151.47009
Rodman, Leiba; Spitkovsky, Ilya M.
7
2008
Pairs of Hermitian and skew-Hermitian quaternionic matrices: canonical forms and their applications. Zbl 1149.15013
Rodman, Leiba
5
2008
Orthogonality preserving bijective maps on finite dimensional projective spaces over division rings. Zbl 1161.15003
Rodman, Leiba; Šemrl, Peter
4
2008
Algebras of almost periodic functions with Bohr-Fourier spectrum in a semigroup: Hermite property and its applications. Zbl 1158.43008
Rodman, Leiba; Spitkovsky, Ilya M.
3
2008
Spectral radius preservers of products of monnegative matrices. Zbl 1158.15002
Clark, Sean; Li, Chi-Kwong; Rodman, Leiba
2
2008
Isotropic subspaces for pairs of Hermitian matrices. Zbl 1184.15028
Rodman, Leiba X.
1
2008
On the index of conditional stability of stable invariant Lagrangian subspaces. Zbl 1166.15016
Ran, André C. M.; Rodman, Leiba
1
2008
Hamiltonian square roots of skew Hamiltonian quaternionic matrices. Zbl 1147.15011
Rodman, Leiba
1
2008
Canonical forms for mixed symmetric-skewsymmetric quaternion matrix pencils. Zbl 1118.15012
Rodman, Leiba
9
2007
Canonical structures for palindromic matrix polynomials. Zbl 1144.47011
Lancaster, Peter; Prells, Uwe; Rodman, Leiba
6
2007
Canonical forms for symmetric and skewsymmetric quaternionic matrix pencils. Zbl 1122.15013
Rodman, Leiba
6
2007
Factorization in weighted Wiener matrix algebras on linearly ordered Abelian groups. Zbl 1135.46030
Ehrhardt, Torsten; van der Mee, Cornelis; Rodman, Leiba; Spitkovsky, Ilya M.
5
2007
A note on indefinite Douglas’ lemma. Zbl 1137.47017
Rodman, Leiba
4
2007
Comparison of congruences and strict equivalences for real, complex, and quaternionic matrix pencils with symmetries. Zbl 1152.15016
Rodman, Leiba
3
2007
Operators with numerical range in a given closed half plane. Zbl 1136.47004
Cheung, Wai-Shun; Li, Chi-Kwong; Rodman, Leiba
2
2007
Extension to maximal semidefinite invariant subspaces for hyponormal matrices in indefinite inner products. Zbl 1111.15026
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
1
2007
Invariant subspaces of matrics with applications. Reprint of the 1986 original. Zbl 1093.15502
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
29
2006
Similarity vs unitary similarity and perturbation analysis of sign characteristics: complex and real indefinite inner products. Zbl 1098.15023
Rodman, Leiba
12
2006
Linear maps preserving generalized invertibility. Zbl 1111.47031
Mbekhta, Mostafa; Rodman, Leiba; Šemrl, Peter
10
2006
A perturbation analysis for nonlinear selfadjoint operator equations. Zbl 1105.47053
Ran, A. C. M.; Reurings, M. C. B.; Rodman, L.
9
2006
Polar decompositions of normal operators in indefinite inner product spaces. Zbl 1108.47034
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
6
2006
Basic classes of matrices with respect to quaternionic indefinite inner product spaces. Zbl 1102.15014
Alpay, D.; Ran, A. C. M.; Rodman, L.
5
2006
Orthogonality preserving bijective maps on real and complex projective spaces. Zbl 1096.15013
Rodman, Leiba; Šemrl, Peter
3
2006
Factorization of matrix functions with subgroup supported Fourier coefficients. Zbl 1107.43002
Rodman, Leiba; Spitkovsky, Ilya M.
2
2006
Bounded and stably bounded palindromic difference equations of first order. Zbl 1096.39010
Rodman, Leiba
1
2006
Indefinite linear algebra and applications. Zbl 1084.15005
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
97
2005
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. Zbl 1087.15014
Lancaster, Peter; Rodman, Leiba
49
2005
Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence. Zbl 1081.15007
Lancaster, P.; Rodman, L.
31
2005
3 x 3 matrices with a flat portion on the boundary of the numerical range. Zbl 1071.15029
Rodman, L.; Spitkovsky, I. M.
13
2005
Factorization of block triangular matrix functions with off-diagonal binomials. Zbl 1102.47011
van der Mee, Cornelis V. M.; Rodman, Leiba; Spitkovsky, Ilya M.
5
2005
Inverse closed ray-nonsingular cones of matrices. Zbl 1066.15021
Li, Chi-Kwong; Rodman, Leiba
5
2005
Convex invertible sets and matrix sign function. Zbl 1066.52001
Lewkowicz, Izchak; Rodman, Leiba; Yarkoni, Elad J.
4
2005
Continuous adjacency preserving maps on real matrices. Zbl 1079.15004
Rodman, Leiba; Šemrl, Peter; Sourour, Ahmed R.
1
2005
H-unitary and Lorentz matrices: A review. Zbl 1063.15021
Au-Yeung, Yik-Hoi; Li, Chi-Kwong; Rodman, Leiba
8
2004
Semidefinite invariant subspaces: degenerate inner products. Zbl 1066.15024
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
5
2004
Factorization of block triangular matrix functions in Wiener algebras on ordered Abelian groups. Zbl 1081.47020
van der Mee, Cornelis V. M.; Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J.
5
2004
Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products. Zbl 1066.15030
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
4
2004
Jet functions having indefinite Carathéodory-Pick matrices. Zbl 1064.30036
Bolotnikov, Vladimir; Kheifets, Alexander; Rodman, Leiba
3
2004
Nevanlinna-Pick interpolation: Pick matrices have bounded number of negative eigenvalues. Zbl 1056.30036
Bolotnikov, V.; Kheifets, A.; Rodman, L.
3
2004
Research problem: Lipschitz properties of matrix group actions. Zbl 1072.15032
Pierce, Stephen J.; Rodman, Leiba
2
2004
Operator-valued jet functions with positive Carathéodory–Pick operators. Zbl 1082.47010
Bolotnikov, Vladimir; Kheifets, Alexander; Rodman, Leiba
2
2004
Remarks on interpolation in reproducing kernel Hilbert spaces. Zbl 1067.46035
Bolotnikov, Vladimir; Rodman, Leiba
2
2004
Multiplicative preservers of \(C\)-numerical ranges and radii. Zbl 1058.15031
Li, Chi-Kwong; Rodman, Leiba
2
2004
Finite dimensional backward shift invariant subspaces of a class of reproducing kernel Hilbert spaces. Zbl 1065.46022
Bolotnikov, V.; Rodman, L.
1
2004
Linear maps on selfadjoint operators preserving invertibility, positive definiteness, numerical range. Zbl 1056.47018
Li, Chi-Kwong; Rodman, Leiba; Šemrl, Peter
17
2003
Multiplicative maps on invertible matrices that preserve matricial properties. Zbl 1042.15004
Guralnick, Robert M.; Li, Chi-Kwong; Rodman, Leiba X.
8
2003
On numerical ranges and roots. Zbl 1039.47003
Li, Chi-Kwong; Rodman, Leiba; Spitkovsky, Ilya M.
7
2003
Krein-Langer factorizations via pole triples. Zbl 1055.47015
Bolotnikov, Vladimir; Rodman, Leiba
4
2003
Noncanonical factorizations of almost periodic multivariable matrix functions. Zbl 1079.47019
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J.
4
2003
Functions with Pick matrices having bounded number of negative eigenvalues. Zbl 1039.15014
Bolotnikov, V.; Kheifets, A.; Rodman, L.
3
2003
Pairs of functions with indefinite Pick matrices. Zbl 1021.47002
Bolotnikov, V.; Kheifets, A.; Rodman, L.
1
2003
Linear transformations between matrix spaces that map one rank specific set into another. Zbl 1022.15001
Li, Chi-Kwong; Rodman, Leiba; Šemrl, Peter
17
2002
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation. Zbl 1017.47014
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J.
6
2002
Finite dimensional backward shift invariant subspaces of Arveson spaces. Zbl 1019.46023
Bolotnikov, V.; Rodman, L.
6
2002
Symmetric matrices with respect to sesquilinear forms. Zbl 1001.15019
Mehl, Christian; Rodman, Leiba
5
2002
A class of robustness problems in matrix analysis. Zbl 1029.15005
Ran, André C. M.; Rodman, Leiba
4
2002
Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\). Zbl 1045.47034
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
4
2002
Shells of matrices in indefinite inner product spaces. Zbl 1003.15026
Bolotnikov, Vladimir; Li, Chi-Kwong; Meade, Patrick R.; Mehl, Christian; Rodman, Leiba
3
2002
Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols. Zbl 0995.47019
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J.
3
2002
Contractive extension problems for matrix valued almost periodic functions of several variables. Zbl 1025.42011
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J.
2
2002
Toeplitz corona problem for algebras of almost periodic functions. Zbl 1052.46018
Ball, J. A.; Rodman, L.; Spitkovsky, I. M.
2
2002
Two-sided residue interpolation in matrix H\(_{2}\) spaces with symmetries: conformal conjugate involutions. Zbl 0997.41002
Alpay, D.; Bolotnikov, V.; Rodman, L.
1
2002
Factorization of almost periodic matrix functions of several variables and Toeplitz operators. Zbl 0985.47020
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J.
7
2001
Normal matrices and polar decompositions in indefinite inner products. Zbl 0996.15023
Lins, Brian; Meade, Patrick; Mehl, Christian; Rodman, Leiba
5
2001
Classes of normal matrices in indefinite inner products. Zbl 0992.15026
Mehl, Christian; Rodman, Leiba
3
2001
Real Hamiltonian polar decompositions. Zbl 0982.15012
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
2
2001
...and 184 more Documents
all top 5

Cited by 2,317 Authors

155 Rodman, Leiba X.
71 Ran, André C. M.
70 Gohberg, Israel
50 Lancaster, Peter
48 Alpay, Daniel Aron
46 Bolotnikov, Vladimir
42 Li, Chi-Kwong
41 Ball, Joseph Anthony
41 Spitkovsky, Ilya Matvey
35 Psarrakos, Panayiotis J.
34 Kaashoek, Marinus Adriaan
33 Mehrmann, Volker
25 Mehl, Christian
24 Lerer, Leonid Efimovich
22 Zaballa, Ion
21 Bebiano, Natália Isabel Quadros
21 Benner, Peter
21 Wimmer, Harald K.
20 da Providência Santarém e Costa, João
19 Dopico, Froilán M.
19 Lewkowicz, Izchak
18 Van der Mee, Cornelis Victor Maria
17 Jódar Sanchez, Lucas Antonio
17 Nakazato, Hiroshi
17 Sergeichuk, Vladimir Vasil’evich
16 Fritzsche, Bernd
16 Johnson, Charles Royal
16 Kirstein, Bernd
15 Woerdeman, Hugo Jan
13 Chen, Gongning
13 Gracia, Juan-Miguel
13 Lin, Wen-Wei
13 Mackey, D. Steven
12 Cohen, Nir
12 Dym, Harry
12 Ferrante, Augusto
12 Ferrer, Josep
12 He, ZhuoHeng
12 Maroulas, John
12 Sze, Nung-Sing
12 Xu, Hongguo
12 Young, Nicholas John
11 Câmara, Maria Cristina
11 Jbilou, Khalide
11 Markus, Alexander S.
11 Pierce, Stephen J.
11 Puerta, Ferran
11 Šemrl, Peter
11 Tian, Yongge
11 Tismenetsky, Miron
11 Tisseur, Françoise
11 Wu, Peiyuan
10 Agler, Jim
10 Chien, Mao-Ting
10 de Terán, Fernando
10 Furtado, Susana
10 Gau, Hwa-Long
10 Gil’, Michael Iosif
10 Heinig, Georg
10 Hu, Yongjian
10 Petersen, Ian Richard
10 Poloni, Federico G.
10 Simoncini, Valeria
9 Baragaña, Itziar
9 Curtain, Ruth Frances
9 Engwerda, Jacob Christiaan
9 Hou, Jinchuan
9 King-wah Chu, Eric
9 Košir, Tomaž
9 Puerta, Xavier
9 Silva, Fernando Conceição
9 Urbano, Ana María
9 Vinnikov, Victor
9 Ye, Qiang
8 Binding, Paul Anthony
8 Bouhamidi, Abderrahman
8 Dmytryshyn, Andrii R.
8 Faßbender, Heike
8 Freiling, Gerhard
8 Fuhrmann, Paul A.
8 Groenewald, Gilbert J.
8 Helton, John William
8 Iftime, Orest V.
8 Langer, Heinz
8 Najman, Branko
8 Noferini, Vanni
8 Trunk, Carsten
8 Van Dooren, Paul M.
7 Bart, Harm
7 Bourhim, Abdellatif
7 Brudnyi, Alexander
7 Compta, Albert
7 Förster, Karl-Heinz
7 Futorny, Vyacheslav M.
7 Horn, Roger Alan
7 Karlovich, Yuri I.
7 Loewy, Raphael
7 Merino, Dennis I.
7 Montoro, M. Eulalia
7 Nagy, Béla
...and 2,217 more Authors
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Cited in 338 Serials

772 Linear Algebra and its Applications
164 Integral Equations and Operator Theory
126 Linear and Multilinear Algebra
74 Automatica
68 Journal of Mathematical Analysis and Applications
59 Journal of Computational and Applied Mathematics
57 Systems & Control Letters
38 International Journal of Control
36 Applied Mathematics and Computation
34 Journal of Functional Analysis
30 SIAM Journal on Matrix Analysis and Applications
29 Proceedings of the American Mathematical Society
18 Numerical Algorithms
16 Computers & Mathematics with Applications
16 Numerical Linear Algebra with Applications
15 Journal of Mathematical Physics
15 Transactions of the American Mathematical Society
15 MCSS. Mathematics of Control, Signals, and Systems
15 Advances in Applied Clifford Algebras
14 Numerische Mathematik
14 Applied Numerical Mathematics
14 European Journal of Control
13 BIT
13 Applied Mathematics Letters
13 ELA. The Electronic Journal of Linear Algebra
13 Complex Analysis and Operator Theory
11 Mathematics of Computation
10 Journal of the Franklin Institute
10 Rocky Mountain Journal of Mathematics
10 SIAM Journal on Scientific Computing
10 Journal of Mathematical Sciences (New York)
9 SIAM Journal on Control and Optimization
9 Journal of Applied Mathematics and Computing
9 Operators and Matrices
8 Mathematical Notes
8 Journal of Differential Equations
8 Mathematical and Computer Modelling
8 Indagationes Mathematicae. New Series
7 Mathematische Nachrichten
7 Journal of Economic Dynamics & Control
6 International Journal of Systems Science
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Functional Analysis and its Applications
6 Journal of Optimization Theory and Applications
6 SIAM Journal on Algebraic and Discrete Methods
6 Mathematical Programming. Series A. Series B
6 Abstract and Applied Analysis
6 Banach Journal of Mathematical Analysis
5 Applicable Analysis
5 Journal of Computational Physics
5 Ukrainian Mathematical Journal
5 Calcolo
5 Numerical Functional Analysis and Optimization
5 Circuits, Systems, and Signal Processing
5 Journal of Global Optimization
5 International Journal of Robust and Nonlinear Control
5 Computational and Applied Mathematics
5 Acta Mathematica Sinica. English Series
5 Asian Journal of Control
4 Physics Letters. A
4 Reports on Mathematical Physics
4 Journal of Geometry and Physics
4 Journal of Algebra
4 Journal of Approximation Theory
4 Journal of Pure and Applied Algebra
4 Journal of Soviet Mathematics
4 Kybernetika
4 Siberian Mathematical Journal
4 Theoretical Computer Science
4 Multidimensional Systems and Signal Processing
4 The Journal of Geometric Analysis
4 Aequationes Mathematicae
4 International Journal of Computer Mathematics
4 SIAM Journal on Optimization
4 Cybernetics and Systems Analysis
4 Computational Optimization and Applications
4 Computational Methods and Function Theory
4 Mediterranean Journal of Mathematics
4 Special Matrices
3 Communications in Algebra
3 Communications in Mathematical Physics
3 Computer Methods in Applied Mechanics and Engineering
3 Israel Journal of Mathematics
3 Journal d’Analyse Mathématique
3 Letters in Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Czechoslovak Mathematical Journal
3 Inventiones Mathematicae
3 Journal of Econometrics
3 Manuscripta Mathematica
3 Mathematics and Computers in Simulation
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Zeitschrift für Analysis und ihre Anwendungen
3 Acta Applicandae Mathematicae
3 Bulletin of the Iranian Mathematical Society
3 Journal of Scientific Computing
3 Economics Letters
3 Japan Journal of Industrial and Applied Mathematics
...and 238 more Serials
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Cited in 60 Fields

1,271 Linear and multilinear algebra; matrix theory (15-XX)
635 Operator theory (47-XX)
503 Systems theory; control (93-XX)
476 Numerical analysis (65-XX)
163 Functions of a complex variable (30-XX)
131 Functional analysis (46-XX)
122 Ordinary differential equations (34-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
63 Combinatorics (05-XX)
58 Partial differential equations (35-XX)
57 Harmonic analysis on Euclidean spaces (42-XX)
54 Operations research, mathematical programming (90-XX)
52 Probability theory and stochastic processes (60-XX)
43 Statistics (62-XX)
42 Quantum theory (81-XX)
39 Dynamical systems and ergodic theory (37-XX)
37 Approximations and expansions (41-XX)
33 Information and communication theory, circuits (94-XX)
32 Difference and functional equations (39-XX)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
30 Several complex variables and analytic spaces (32-XX)
27 Algebraic geometry (14-XX)
24 Computer science (68-XX)
24 Mechanics of particles and systems (70-XX)
23 Differential geometry (53-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Associative rings and algebras (16-XX)
19 Mechanics of deformable solids (74-XX)
18 Field theory and polynomials (12-XX)
17 Integral equations (45-XX)
17 Geometry (51-XX)
16 Nonassociative rings and algebras (17-XX)
16 Group theory and generalizations (20-XX)
16 Special functions (33-XX)
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15 Convex and discrete geometry (52-XX)
14 Number theory (11-XX)
12 Topological groups, Lie groups (22-XX)
12 Abstract harmonic analysis (43-XX)
12 Fluid mechanics (76-XX)
11 Commutative algebra (13-XX)
11 Optics, electromagnetic theory (78-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Integral transforms, operational calculus (44-XX)
6 General and overarching topics; collections (00-XX)
6 General topology (54-XX)
6 Relativity and gravitational theory (83-XX)
6 Biology and other natural sciences (92-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Sequences, series, summability (40-XX)
2 Algebraic topology (55-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
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1 Astronomy and astrophysics (85-XX)
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1 Mathematics education (97-XX)

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