Zdenek Strakos

According to our database, Zdenek Strakos authored at least 37 papers between 1987 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2024

A Simple Formula for the Generalized Spectrum of Second Order Self-Adjoint Differential Operators.

Bjørn Fredrik Nielsen, Zdenek Strakos

SIAM Rev., February, 2024

A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level.

Petr Vacek, Jan Papez, Zdenek Strakos

CoRR, 2024

2022

Numerical approximation of the spectrum of self-adjoint operators in operator preconditioning.

Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos

Numer. Algorithms, 2022

70 years of Krylov subspace methods: The journey continues.

Erin C. Carson, Jörg Liesen, Zdenek Strakos

CoRR, 2022

2021

Numerical approximation of the spectrum of self-adjoint continuously invertible operators.

Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos

CoRR, 2021

2020

Generalized Spectrum of Second Order Differential Operators.

Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos

SIAM J. Numer. Anal., 2020

Decomposition into subspaces preconditioning: abstract framework.

Jakub Hrncír, Ivana Pultarová, Zdenek Strakos

Numer. Algorithms, 2020

2019

Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator.

Tomás Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen, Zdenek Strakos

SIAM J. Numer. Anal., 2019

2018

The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology.

Erin C. Carson, Miroslav Rozlozník, Zdenek Strakos, Petr Tichý, Miroslav Tuma

SIAM J. Sci. Comput., 2018

Estimating and localizing the algebraic and total numerical errors using flux reconstructions.

Jan Papez, Zdenek Strakos, Martin Vohralík

Numerische Mathematik, 2018

2015

Band Generalization of the Golub-Kahan Bidiagonalization, Generalized Jacobi Matrices, and the Core Problem.

Iveta Hnetynková, Martin Plesinger, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 2015

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs.

Josef Málek, Zdenek Strakos

SIAM spotlights, SIAM, ISBN: 978-1-611-97383-9, 2015

2014

Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations.

Tomás Gergelits, Zdenek Strakos

Numer. Algorithms, 2014

2013

The Core Problem within a Linear Approximation Problem $AX\approx B$ with Multiple Right-Hand Sides.

Iveta Hnetynková, Martin Plesinger, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 2013

2011

On Efficient Numerical Approximation of the Bilinear Form c^{*A^-1b}.

Zdenek Strakos, Petr Tichý

SIAM J. Sci. Comput., 2011

The Total Least Squares Problem in <i>A</i><i>X</i> ≈ <i>B</i>: A New Classification with the Relationship to the Classical Works.

Iveta Hnetynková, Martin Plesinger, Diana Maria Sima, Zdenek Strakos, Sabine Van Huffel

SIAM J. Matrix Anal. Appl., 2011

Gene H. Golub and Gérard Meurant: Matrices, Moments and Quadrature with Applications - Princeton University Press, 2010, ix + 363 pp., ISBN 978-0-691-14341-5.

Zdenek Strakos

Found. Comput. Math., 2011

2010

A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers.

Pavel Jiránek, Zdenek Strakos, Martin Vohralík

SIAM J. Sci. Comput., 2010

2009

Model reduction using the Vorobyev moment problem.

Zdenek Strakos

Numer. Algorithms, 2009

2008

On Optimal Short Recurrences for Generating Orthogonal Krylov Subspace Bases.

Jörg Liesen, Zdenek Strakos

SIAM Rev., 2008

2007

On sensitivity of Gauss-Christoffel quadrature.

Dianne P. O'Leary, Zdenek Strakos, Petr Tichý

Numerische Mathematik, 2007

2006

Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES.

Christopher C. Paige, Miroslav Rozlozník, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 2006

2005

GMRES Convergence Analysis for a Convection-Diffusion Model Problem.

Jörg Liesen, Zdenek Strakos

SIAM J. Sci. Comput., 2005

Core Problems in Linear Algebraic Systems.

Christopher C. Paige, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 2005

2004

Convergence of GMRES for Tridiagonal Toeplitz Matrices.

Jörg Liesen, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 2004

2002

Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.

Christopher C. Paige, Zdenek Strakos

SIAM J. Sci. Comput., 2002

Least Squares Residuals and Minimal Residual Methods.

Jörg Liesen, Miroslav Rozlozník, Zdenek Strakos

SIAM J. Sci. Comput., 2002

Scaled total least squares fundamentals.

Christopher C. Paige, Zdenek Strakos

Numerische Mathematik, 2002

Bounds for the least squares distance using scaled total least squares.

Christopher C. Paige, Zdenek Strakos

Numerische Mathematik, 2002

2000

Accuracy of Two Three-term and Three Two-term Recurrences for Krylov Space Solvers.

Martin H. Gutknecht, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 2000

1998

Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems.

Åke Björck, Tommy Elfving, Zdenek Strakos

SIAM J. Matrix Anal. Appl., July, 1998

1996

Any Nonincreasing Convergence Curve is Possible for GMRES.

Anne Greenbaum, Vlastimil Pták, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 1996

On the Role of Orthogonality in the GMRES Method.

Miroslav Rozlozník, Zdenek Strakos, Miroslav Tuma

Proceedings of the SOFSEM '96: Theory and Practice of Informatics, 1996

1995

On the Implementation of Some Residual Minimizing Krylov Space Methods.

Miroslav Rozlozník, Zdenek Strakos

Proceedings of the SOFSEM '95, 22nd Seminar on Current Trends in Theory and Practice of Informatics, Milovy, Czech Republic, November 23, 1995

1994

Estimates in quadratic formulas.

Gene H. Golub, Zdenek Strakos

Numer. Algorithms, 1994

1992

Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations.

Anne Greenbaum, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 1992

1987

Effectivity and optimizing of algorithms and programs on the host-computer/array-processor system.

Zdenek Strakos

Parallel Comput., 1987