Zdenek Strakos

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