Zdenek Strakos

Publication Activity (10 Years)

Years Active: 1987-2024
Publications (10 Years): 10

Top Topics

Differential Operators

Conjugate Gradient

Subspace Methods

Sensitivity Analysis

Top Venues

Numer. Algorithms

SIAM J. Numer. Anal.

SIAM J. Matrix Anal. Appl.

Publications

Bjørn Fredrik Nielsen, Zdenek Strakos
A Simple Formula for the Generalized Spectrum of Second Order Self-Adjoint Differential Operators. SIAM Rev. 66 (1) (2024)
Petr Vacek, Jan Papez, Zdenek Strakos
A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level. CoRR (2024)
Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos
Numerical approximation of the spectrum of self-adjoint operators in operator preconditioning. Numer. Algorithms 91 (1) (2022)
Erin C. Carson, Jörg Liesen, Zdenek Strakos
70 years of Krylov subspace methods: The journey continues. CoRR (2022)
Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos
Numerical approximation of the spectrum of self-adjoint continuously invertible operators. CoRR (2021)
Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos
Generalized Spectrum of Second Order Differential Operators. SIAM J. Numer. Anal. 58 (4) (2020)
Jakub Hrncír, Ivana Pultarová, Zdenek Strakos
Decomposition into subspaces preconditioning: abstract framework. Numer. Algorithms 83 (1) (2020)
Tomás Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen, Zdenek Strakos
Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator. SIAM J. Numer. Anal. 57 (3) (2019)
Jan Papez, Zdenek Strakos, Martin Vohralík
Estimating and localizing the algebraic and total numerical errors using flux reconstructions. Numerische Mathematik 138 (3) (2018)
Erin C. Carson, Miroslav Rozlozník, Zdenek Strakos, Petr Tichý, Miroslav Tuma
The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology. SIAM J. Sci. Comput. 40 (5) (2018)
Iveta Hnetynková, Martin Plesinger, Zdenek Strakos
Band Generalization of the Golub-Kahan Bidiagonalization, Generalized Jacobi Matrices, and the Core Problem. SIAM J. Matrix Anal. Appl. 36 (2) (2015)
Tomás Gergelits, Zdenek Strakos
Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations. Numer. Algorithms 65 (4) (2014)
Iveta Hnetynková, Martin Plesinger, Zdenek Strakos
The Core Problem within a Linear Approximation Problem $AX\approx B$ with Multiple Right-Hand Sides. SIAM J. Matrix Anal. Appl. 34 (3) (2013)
Iveta Hnetynková, Martin Plesinger, Diana Maria Sima, Zdenek Strakos, Sabine Van Huffel
: A New Classification with the Relationship to the Classical Works. SIAM J. Matrix Anal. Appl. 32 (3) (2011)
Zdenek Strakos
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. Found. Comput. Math. 11 (2) (2011)
Zdenek Strakos, Petr Tichý
. SIAM J. Sci. Comput. 33 (2) (2011)
Pavel Jiránek, Zdenek Strakos, Martin Vohralík
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers. SIAM J. Sci. Comput. 32 (3) (2010)
Zdenek Strakos
Model reduction using the Vorobyev moment problem. Numer. Algorithms 51 (3) (2009)
Jörg Liesen, Zdenek Strakos
On Optimal Short Recurrences for Generating Orthogonal Krylov Subspace Bases. SIAM Rev. 50 (3) (2008)
Dianne P. O'Leary, Zdenek Strakos, Petr Tichý
On sensitivity of Gauss-Christoffel quadrature. Numerische Mathematik 107 (1) (2007)
Christopher C. Paige, Miroslav Rozlozník, Zdenek Strakos
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES. SIAM J. Matrix Anal. Appl. 28 (1) (2006)
Jörg Liesen, Zdenek Strakos
GMRES Convergence Analysis for a Convection-Diffusion Model Problem. SIAM J. Sci. Comput. 26 (6) (2005)
Christopher C. Paige, Zdenek Strakos
Core Problems in Linear Algebraic Systems. SIAM J. Matrix Anal. Appl. 27 (3) (2005)
Jörg Liesen, Zdenek Strakos
Convergence of GMRES for Tridiagonal Toeplitz Matrices. SIAM J. Matrix Anal. Appl. 26 (1) (2004)
Christopher C. Paige, Zdenek Strakos
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods. SIAM J. Sci. Comput. 23 (6) (2002)
Jörg Liesen, Miroslav Rozlozník, Zdenek Strakos
Least Squares Residuals and Minimal Residual Methods. SIAM J. Sci. Comput. 23 (5) (2002)
Christopher C. Paige, Zdenek Strakos
Scaled total least squares fundamentals. Numerische Mathematik 91 (1) (2002)
Christopher C. Paige, Zdenek Strakos
Bounds for the least squares distance using scaled total least squares. Numerische Mathematik 91 (1) (2002)
Martin H. Gutknecht, Zdenek Strakos
Accuracy of Two Three-term and Three Two-term Recurrences for Krylov Space Solvers. SIAM J. Matrix Anal. Appl. 22 (1) (2000)
Åke Björck, Tommy Elfving, Zdenek Strakos
Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems. SIAM J. Matrix Anal. Appl. 19 (3) (1998)
Miroslav Rozlozník, Zdenek Strakos, Miroslav Tuma
On the Role of Orthogonality in the GMRES Method. SOFSEM (1996)
Anne Greenbaum, Vlastimil Pták, Zdenek Strakos
Any Nonincreasing Convergence Curve is Possible for GMRES. SIAM J. Matrix Anal. Appl. 17 (3) (1996)
Miroslav Rozlozník, Zdenek Strakos
On the Implementation of Some Residual Minimizing Krylov Space Methods. SOFSEM (1995)
Gene H. Golub, Zdenek Strakos
Estimates in quadratic formulas. Numer. Algorithms 8 (2) (1994)
Anne Greenbaum, Zdenek Strakos
Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations. SIAM J. Matrix Anal. Appl. 13 (1) (1992)
Zdenek Strakos
Effectivity and optimizing of algorithms and programs on the host-computer/array-processor system. Parallel Comput. 4 (2) (1987)