Vadim Olshevsky

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All published works

Action	Title	Year	Authors
+	Backward Stability of the Schur Decomposition under Small Perturbations	2024	Anastasiia Minenkova Evelyn Nitch-Griffin Vadim Olshevsky
+	Lipschitz stability of some canonical Jordan bases of real H-selfadjoint matrices under small perturbations	2024	S. Dogruer Akgul Anastasiia Minenkova Vadim Olshevsky
+ PDF Chat	Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real <i>H</i>-selfadjoint matrices	2023	Sahinde Dogruer Akgul Anastasiia Minenkova Vadim Olshevsky
+	Gohberg-Kaashoek Numbers and Forward Stability of the Schur Canonical Form	2021	Anastasiia Minenkova Evelyn Nitch-Griffin Vadim Olshevsky
+	Gohberg-Kaashoek Numbers and Stability of the Schur Canonical Form	2021	Anastasiia Minenkova Evelyn Nitch-Griffin Vadim Olshevsky
+	Backward Stability of the Schur Canonical Form	2021	Anastasiia Minenkova Evelyn Nitch-Griffin Vadim Olshevsky
+	Gohberg-Kaashoek Numbers and Forward Stability of the Schur Canonical Form	2021	Anastasiia Minenkova Evelyn Nitch-Griffin Vadim Olshevsky
+	Backward Stability of the Schur Canonical Form	2021	Anastasiia Minenkova Evelyn Nitch-Griffin Vadim Olshevsky
+	A Fast Algorithm for the Inversion of Quasiseparable Vandermonde-like Matrices	2014	Sirani M. Perera Grigory Bonik Vadim Olshevsky
+	A Fast Algorithm for the Inversion of Quasiseparable Vandermonde-like Matrices	2014	Sirani M. Perera Grigory Bonik Vadim Olshevsky
+ PDF Chat	Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices	2013	Froilán M. Dopico Vadim Olshevsky Pavel Zhlobich
+	Nested Product Decomposition of Quasiseparable Matrices	2013	T. Bella Vadim Olshevsky Michael Stewart
+	REPRINT OF: A quasiseparable approach to five-diagonal CMV and Fiedler matrices	2011	T. Bella Vadim Olshevsky Pavel Zhlobich
+	Classifications of Recurrence Relations via Subclasses of (H, m)-quasiseparable Matrices	2011	T. Bella Vadim Olshevsky Pavel Zhlobich
+	A quasiseparable approach to five-diagonal CMV and Fiedler matrices	2010	T. Bella Vadim Olshevsky Pavel Zhlobich
+	Matrix Methods: Theory, Algorithms and Applications	2010	Vadim Olshevsky Eugene E. Tyrtyshnikov
+	A Traub-like Algorithm for Hessenbergquasiseparable- Vandermonde Matrices of Arbitrary Order	2010	T. Bella Vadim Olshevsky Pavel Zhlobich Yuli Eidelman Israel Gohberg E. E. Tyrtyshnikov
+	Introduction	2010	L. Lerer Vadim Olshevsky Ilya M. Spitkovsky
+	Convolution equations and singular integral operators : selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik	2010	Israel Gohberg Georg Heinig Nahum Krupnik L. Lerer Vadim Olshevsky Ilya M. Spitkovskiĭ
+	Green’s matrices	2009	Vadim Olshevsky Gilbert Strang Pavel Zhlobich
+	Signal flow graph approach to inversion of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>H</mml:mi><mml:mtext>,</mml:mtext><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>-quasiseparable-Vandermonde matrices and new filter structures	2009	T. Bella Vadim Olshevsky Pavel Zhlobich
+	A Fast Björck–Pereyra-Type Algorithm for Solving Hessenberg-Quasiseparable-Vandermonde Systems	2009	T. Bella Yuli Eidelman Israel Gohberg I. Koltracht Vadim Olshevsky
+	Lipschitz stability of canonical Jordan bases of H-selfadjoint matrices under structure-preserving perturbations	2008	T. Bella Vadim Olshevsky U N Prasad
+	Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure	2007	Vadim Olshevsky Ivan Oseledets Е. Е. Тыртышников
+	Ranks of Hadamard Matrices and Equivalence of Sylvester—Hadamard and Pseudo-Noise Matrices	2007	T. Bella Vadim Olshevsky Lev Sakhnovich
+	A Björck–Pereyra-type algorithm for Szegö–Vandermonde matrices based on properties of unitary Hessenberg matrices	2006	T. Bella Yuli Eidelman Israel Gohberg I. Koltracht Vadim Olshevsky
+	Tensor properties of multilevel Toeplitz and related matrices	2005	Vadim Olshevsky Ivan Oseledets Eugene E. Tyrtyshnikov
+	The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order	2005	Yuli Eidelman Israel Gohberg Vadim Olshevsky
+	Kharitonov’s Theorem and Bezoutians	2005	Alex Olshevsky Vadim Olshevsky
+	Displacement Structure Approach to Discrete-Trigonometric-Transform Based Preconditioners of G.Strang Type and of T.Chan Type	2005	T. Kailath Vadim Olshevsky
+ PDF Chat	A displacement approach to decoding algebraic codes	2003	Vadim Olshevsky Mohammad Amin Shokrollahi
+	Special Issue on Structured and Infinite Systems of Linear Equations	2002	P. Dewilde Vadim Olshevsky Ali H. Sayed
+ PDF Chat	Pivoting and backward stability of fast algorithms for solving Cauchy linear equations	2002	Tibor Boros T. Kailath Vadim Olshevsky
+ PDF Chat	Stable factorization for Hankel and Hankel‐like matrices	2001	Vadim Olshevsky Michael Stewart
+	Unitary Hessenberg matrices and the generalized Parker-Forney-Traub algorithm for inversion of Szegö-Vandermonde matrices	2001	Vadim Olshevsky
+	The Schur algorithm for matrices with Hessenberg displacement structure	2001	G. Heinig Vadim Olshevsky
+	Structured matrices in mathematics, computer science, and engineering : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 27-July 1, 1999	2001	Vadim Olshevsky
+	Matrix-vector product for confluent Cauchy-like matrices with application to confluent rational interpolation	2000	Vadim Olshevsky Amin Shokrollahi
+	<title>Unified superfast algorithm for confluent tangential interpolation problems and for structured matrices</title>	1999	Vadim Olshevsky Mohammad Amin Shokrollahi
+	Displacement-structure approach to polynomial Vandermonde and related matrices	1997	T. Kailath Vadim Olshevsky
+	The Fast Generalized Parker–Traub Algorithm for Inversion of Vandermonde and Related Matrices	1997	Israel Gohberg Vadim Olshevsky
+	Diagonal pivoting for partially reconstructible Cauchy-like matrices, with applications to Toeplitz-like linear equations and to boundary rational matrix interpolation problems	1997	T. Kailath Vadim Olshevsky
+	Fast Inversion of Vandermonde and Vandermonde-Like Matrices	1997	Israel Gohberg Vadim Olshevsky
+	Cyclic dimensions, kernel multiplicities, and Gohberg-Kaashoek numbers	1996	V. Matsaev Vadim Olshevsky
+	Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure	1995	I. Gohbert T. Kailath Vadim Olshevsky
+	Complexity of multiplication with vectors for structured matrices	1994	Israel Gohberg Vadim Olshevsky
+	Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems	1994	Israel Gohberg Vadim Olshevsky
+	Fast inversion of Chebyshev--Vandermonde matrices	1994	Israel Gohberg Vadim Olshevsky
+	Complete controllability and spectrum assignment in infinite dimensional spaces	1993	A. S. Markus Vadim Olshevsky
+ PDF Chat	Circulants, displacements and decompositions of matrices	1992	Israel Gohberg Vadim Olshevsky
+	Similarity of block diagonal and block triangular matrices	1992	Vadim Olshevsky

Common Coauthors

Coauthor	Papers Together
Israel Gohberg	11
T. Bella	10
Anastasiia Minenkova	8
Pavel Zhlobich	7
Evelyn Nitch-Griffin	6
T. Kailath	5
Yuli Eidelman	4
Ivan Oseledets	2
Mohammad Amin Shokrollahi	2
L. Lerer	2
I. Koltracht	2
Sirani M. Perera	2
Michael Stewart	2
Eugene E. Tyrtyshnikov	2
Amin Shokrollahi	1
Ilya M. Spitkovsky	1
Grigory Bonik	1
G. Heinig	1
Nahum Krupnik	1
Tibor Boros	1
Lev Sakhnovich	1
Froilán M. Dopico	1
Sahinde Dogruer Akgul	1
Gilbert Strang	1
Ali H. Sayed	1
I. Gohbert	1
Ilya M. Spitkovskiĭ	1
Е. Е. Тыртышников	1
U N Prasad	1
Georg Heinig	1
E. E. Tyrtyshnikov	1
A. S. Markus	1
Alex Olshevsky	1
Grigory Bonik	1
P. Dewilde	1
S. Dogruer Akgul	1
V. Matsaev	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Displacement ranks of matrices and linear equations	1979	T. Kailath Sun‐Yuan Kung M. Morf	15
+	Algebraic Methods for Toeplitz-like Matrices and Operators	1984	Georg Heinig Karla Rost	15
+	Displacement Structure: Theory and Applications	1995	T. Kailath Ali H. Sayed	10
+	Fast inversion of vandermonde-like matrices involving orthogonal polynomials	1993	Daniela Calvetti Lothar Reichel	9
+	Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems	1994	Israel Gohberg Vadim Olshevsky	9
+	Fast inversion of Chebyshev--Vandermonde matrices	1994	Israel Gohberg Vadim Olshevsky	9
+	Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure	1995	I. Gohbert T. Kailath Vadim Olshevsky	9
+	Complexity of multiplication with vectors for structured matrices	1994	Israel Gohberg Vadim Olshevsky	9
+ PDF Chat	Associated Polynomials and Uniform Methods for the Solution of Linear Problems	1966	J. F. Traub	8
+ PDF Chat	Stability Analysis of Algorithms for Solving Confluent Vandermonde-Like Systems	1990	Nicholas J. Higham	8
+	Polynomials with respect to a general basis. I. Theory	1979	John Maroulas Stephen M. Barnett	8
+	On a new class of structured matrices	1999	Yuli Eidelman Israel Gohberg	8
+	Linear complexity inversion algorithms for a class of structured matrices	1999	Yuli Eidelman Israel Gohberg	8
+ PDF Chat	Solution of Vandermonde systems of equations	1970	Åke Björck Víctor Pereyra	7
+	Triangular Factorization of Structured Hermitian Matrices	1986	H. Lev-Ari T. Kailath	7
+	Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle	1993	William B. Gragg	7
+	A modification of the Dewilde–van der Veen method for inversion of finite structured matrices	2002	Yuli Eidelman Israel Gohberg	7
+	Displacement-structure approach to polynomial Vandermonde and related matrices	1997	T. Kailath Vadim Olshevsky	6
+	Solution of Vandermonde Systems of Equations	1970	Åke Björck Víctor Pereyra	6
+ PDF Chat	Chebyshev-Vandermonde systems	1991	Lothar Reichel Gerhard Opfer	6
+	Polynomials orthogonal on a circle and their applications	1954	Я. Л. Геронимус	6
+	Mixed, Componentwise, and Structured Condition Numbers	1993	Israel Gohberg I. Koltracht	5
+	How bad are Hankel matrices?	1994	Evgenij E. Tyrtyshnikov	5
+	Doubling algorithms for Toeplitz and related equations	2005	M. Morf	5
+	Semi-stability of sums of partial multiplicities under additive perturbation	1980	Harm den Boer G. Ph. A. Thijsse	5
+ PDF Chat	Circulants, displacements and decompositions of matrices	1992	Israel Gohberg Vadim Olshevsky	5
+	Error analysis of the Bj�rck-Pereyra algorithms for solving Vandermonde systems	1987	Nicholas J. Higham	5
+	Newton interpolation at Leja points	1990	Lothar Reichel	5
+	Interpolation of Rational Matrix Functions	1990	Joseph A. Ball Israel Gohberg Leiba Rodman	5
+	Schur's Algorithm and Several Applications	1992	Mihály Bakonyi T. Constantinescu	4
+	Lipschitz stability of canonical Jordan bases of H-selfadjoint matrices under structure-preserving perturbations	2008	T. Bella Vadim Olshevsky U N Prasad	4
+	Invariant Subspaces of Matrices with Applications	2006	Israel Gohberg Peter Lancaster Leiba Rodman	4
+	Cyclic dimensions, kernel multiplicities, and Gohberg-Kaashoek numbers	1996	V. Matsaev Vadim Olshevsky	4
+	The change of the Jordan structure of a mtrix under small perturbations	1983	A. S. Markus E.È. Parilis	4
+	Congenial matrices	1981	Stephen M. Barnett	4
+	Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle	2003	Maŕıa José Cantero Leandro del Moral Ituarte L. Velázquez	3
+	Displacement structure for Hankel, Vandermonde, and related (derived) matrices	1991	Joohwan Chun T. Kailath	3
+	The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations	1981	M. Г. Крейн M. A. Naĭmark	3
+	Efficient algorithm for Toeplitz plus Hankel matrices	1989	Israel Gohberg I. Koltracht	3
+	Factorization problems and operator identities	1986	Lev Sakhnovich	3
+	Optimal and Superoptimal Circulant Preconditioners	1992	Evgenij E. Tyrtyshnikov	3
+	A condition for the closeness of the sets of the invariant subspaces of close matrices in terms of their Jordan structures	1990	V. R. Ol'shevskii	3
+	Fast Solution of Vandermonde-Like Systems Involving Orthogonal Polynomials	1988	Nicholas J. Higham	3
+	A Björck–Pereyra-type algorithm for Szegö–Vandermonde matrices based on properties of unitary Hessenberg matrices	2006	T. Bella Yuli Eidelman Israel Gohberg I. Koltracht Vadim Olshevsky	3
+	Minimal representations of unitary operators and orthogonal polynomials on the unit circle	2005	Maŕıa José Cantero Leandro del Moral Ituarte L. Velázquez	3
+ PDF Chat	Measures on the unit circle and unitary truncations of unitary operators	2005	Maŕıa José Cantero Leandro del Moral Ituarte L. Velázquez	3
+	Fast solution of toeplitz systems of equations and computation of Padé approximants	1980	Richard P. Brent Fred G. Gustavson David Y. Y. Yun	3
+	Convolution equations and projection methods for their solution	2005	Israel Gohberg Israel Feldman	3
+	Some matrix factorization identities for discrete inverse scattering	1986	Alfred M. Bruckstein⋆ T. Kailath	3
+	The Fast Generalized Parker–Traub Algorithm for Inversion of Vandermonde and Related Matrices	1997	Israel Gohberg Vadim Olshevsky	3