Petr Tichý

30 papers Journal 28
YearRankTypeTitle / Venue / Authors
2025 J jnl
Block CG algorithms revisited.
CoRR
Petr Tichý, Gérard Meurant, Dorota Simonová
2025 J jnl
Block CG algorithms revisited.
Numer. Algorithms
Petr Tichý, Gérard Meurant, Dorota Simonová
2025 J jnl
Error Norm Estimates for the Block Conjugate Gradient Algorithms.
SIAM J. Matrix Anal. Appl.
Gérard Meurant, Petr Tichý
2025 J jnl
Error norm estimates for the block conjugate gradient algorithm.
CoRR
Gérard Meurant, Petr Tichý
2025 J jnl
Matrix best approximation in the spectral norm.
CoRR
Vance Faber, Jörg Liesen, Petr Tichý
2025 J jnl
On finite precision block Lanczos computations.
CoRR
Dorota Simonová, Petr Tichý
2024 J jnl
Estimating error norms in CG-like algorithms for least-squares and least-norm problems.
Numer. Algorithms
Jan Papez, Petr Tichý
2023 J jnl
Estimating the error in CG-like algorithms for least-squares and least-norm problems.
CoRR
Jan Papez, Petr Tichý
2023 J jnl
The behavior of the Gauss-Radau upper bound of the error norm in CG.
Numer. Algorithms
Gérard Meurant, Petr Tichý
2022 J jnl
On the Forsythe conjecture.
CoRR
Vance Faber, Jörg Liesen, Petr Tichý
2022 J jnl
The behaviour of the Gauss-Radau upper bound of the error norm in CG.
CoRR
Gérard Meurant, Petr Tichý
2021 J jnl
Accurate error estimation in CG.
CoRR
Gérard Meurant, Jan Papez, Petr Tichý
2021 J jnl
Accurate error estimation in CG.
Numer. Algorithms
Gérard Meurant, Jan Papez, Petr Tichý
2021 — ed.
High Performance Computing in Science and Engineering - 4th International Conference, HPCSE 2019, Karolinka, Czech Republic, May 20-23, 2019, Revised Selected Papers
HPCSE
Tomás Kozubek, Peter Arbenz, Jirí Jaros, Lubomír Ríha, Jakub Sístek, Petr Tichý
2021 J jnl
When does the Lanczos algorithm compute exactly?
CoRR
Dorota Simonová, Petr Tichý
2020 J jnl
On Efficient Numerical Solution of Linear Algebraic Systems Arising in Goal-Oriented Error Estimates.
J. Sci. Comput.
Vít Dolejsí, Petr Tichý
2020 J jnl
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates.
CoRR
Vít Dolejsí, Petr Tichý
2019 J jnl
Analysis of the multiplicative Schwarz method for matrices with a special block structure.
CoRR
Carlos Echeverría, Jörg Liesen, Petr Tichý
2019 J jnl
Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG.
Numer. Algorithms
Gérard Meurant, Petr Tichý
2018 — ed.
High Performance Computing in Science and Engineering - Third International Conference, HPCSE 2017, Karolinka, Czech Republic, May 22-25, 2017, Revised Selected Papers
HPCSE
Tomás Kozubek, Martin Cermák, Petr Tichý, Radim Blaheta, Jakub Sístek, Dalibor Lukás, Jirí Jaros
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
2014 J jnl
Erratum to: On computing quadrature-based bounds for the A-norm of the error in conjugate gradients.
Numer. Algorithms
Gérard Meurant, Petr Tichý
2013 J jnl
On computing quadrature-based bounds for the A-norm of the error in conjugate gradients.
Numer. Algorithms
Gérard Meurant, Petr Tichý
2013 J jnl
Properties of Worst-Case GMRES.
SIAM J. Matrix Anal. Appl.
Vance Faber, Jörg Liesen, Petr Tichý
2011 J jnl
On Efficient Numerical Approximation of the Bilinear Form c
SIAM J. Sci. Comput.
Zdenek Strakos, Petr Tichý
2010 J jnl
On Chebyshev Polynomials of Matrices.
SIAM J. Matrix Anal. Appl.
Vance Faber, Jörg Liesen, Petr Tichý
2009 J jnl
On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm.
SIAM J. Matrix Anal. Appl.
Jörg Liesen, Petr Tichý
2009 J jnl
On orthogonal reduction to Hessenberg form with small bandwidth.
Numer. Algorithms
Vance Faber, Jörg Liesen, Petr Tichý
2008 J jnl
The Faber-Manteuffel Theorem for Linear Operators.
SIAM J. Numer. Anal.
Vance Faber, Jörg Liesen, Petr Tichý
2007 J jnl
On sensitivity of Gauss-Christoffel quadrature.
Numerische Mathematik
Dianne P. O'Leary, Zdenek Strakos, Petr Tichý