Search results
- 1.0500540 - ÚI 2019 RIV US eng J - Journal Article
Echeverría, C. - Liesen, J. - Szyld, D.B. - Tichý, Petr
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh.
Electronic Transactions on Numerical Analysis. Roč. 48, February 22 (2018), s. 40-62. ISSN 1068-9613. E-ISSN 1068-9613
Institutional support: RVO:67985807
Keywords : Convergence analysis * Iterative methods * Multiplicative Schwarz method * Shishkin mesh discretization * Singularly perturbed problems
OECD category: Applied mathematics
Impact factor: 1.475, year: 2018
Permanent Link: http://hdl.handle.net/11104/0292636 - 2.0435950 - ÚI 2015 RIV US eng J - Journal Article
Liesen, J. - Tichý, Petr
Max-min and min-max Approximation Problems for Normal Matrices Revisited.
Electronic Transactions on Numerical Analysis. Roč. 41, 4 July (2014), s. 159-166. ISSN 1068-9613. E-ISSN 1068-9613
R&D Projects: GA ČR GA13-06684S
Grant - others:GA AV ČR(CZ) M100301201
Institutional support: RVO:67985807
Keywords : matrix approximation problems * min-max and max-min approximation problems * best approximation * normal matrices
Subject RIV: BA - General Mathematics
Impact factor: 0.759, year: 2014
http://etna.mcs.kent.edu/volumes/2011-2020/vol41/abstract.php?vol=41&pages=159-166
Permanent Link: http://hdl.handle.net/11104/0239752 - 3.0421797 - ÚI 2014 RIV US eng J - Journal Article
Faber, V. - Liesen, J. - Tichý, Petr
Properties of Worst-Case GMRES.
SIAM Journal on Matrix Analysis and Applications. Roč. 34, č. 4 (2013), s. 1500-1519. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Grant - others:GA AV ČR(CZ) M10041090
Institutional support: RVO:67985807
Keywords : GMRES method * worst-case convergence * ideal GMRES * matrix approximation problems * minmax
Subject RIV: BA - General Mathematics
Impact factor: 1.806, year: 2013
Permanent Link: http://hdl.handle.net/11104/0228050File Download Size Commentary Version Access 0421797.pdf 0 768.9 KB Author´s preprint open-access - 4.0405612 - UIVT-O 330994 RIV SE eng J - Journal Article
Strakoš, Zdeněk - Tichý, Petr
Error Estimation in Preconditioned Conjugate Gradients.
[Odhady chyb v přepodmíněné metodě konjugovaných gradientů.]
Bit. Roč. 45, - (2005), s. 789-817. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA AV ČR 1ET400300415; GA AV ČR KJB1030306
Institutional research plan: CEZ:AV0Z10300504
Keywords : preconditioned conjugate gradient method * error bounds * stopping criteria * evaluation of convergence * numerical stability * finite precision arithmetic * rounding errors
Subject RIV: BA - General Mathematics
Impact factor: 0.509, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125762File Download Size Commentary Version Access 0405612.pdf 0 1.7 MB Author´s preprint open-access - 5.0404926 - UIVT-O 330025 RIV US eng J - Journal Article
Strakoš, Zdeněk - Tichý, Petr
On Estimation of the A-norm of the Error in CG and PCG.
[O odhadech A-normy chyby v CG a PCG.]
Proceedings in Applied Mathematics and Mechanics. Roč. 3, - (2003), s. 553-554. ISSN 1617-7061.
[GAMM. Padua, 24.03.2003-28.03.2003]
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: CEZ:AV0Z1030915
Keywords : preconditioned conjugate gradient * error estimates * stopping criteria
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125146 - 6.0404211 - UIVT-O 20020143 RIV US eng J - Journal Article
Strakoš, Zdeněk - Tichý, Petr
On Error Estimation in the Conjugate Gradient Method and why it Works in Finite Precision Computations.
Electronic Transactions on Numerical Analysis. Roč. 13, - (2002), s. 56-80. ISSN 1068-9613. E-ISSN 1068-9613
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: AV0Z1030915
Keywords : conjugate gradient method * Gauss kvadrature * evaluation of convergence * error bounds * finite precision arithmetic * rounding errors * loss of orthogonality
Subject RIV: BA - General Mathematics
Impact factor: 0.565, year: 2002
http://etna.mcs.kent.edu/volumes/2001-2010/vol13/abstract.php?vol=13&pages=56-80
Permanent Link: http://hdl.handle.net/11104/0124477File Download Size Commentary Version Access 0404211.pdf 0 815.3 KB Author´s preprint open-access - 7.0404018 - UIVT-O 20000155 RIV CZ eng J - Journal Article
Tichý, Petr - Zítko, Jan
Derivation of BiCG from the Conditions Defining Lanczos' Method for Solving a System of Linear Equations.
Applications of Mathematics. Roč. 43, č. 5 (1998), s. 381-388. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR GA201/96/0918
Institutional research plan: AV0Z1030915
Keywords : biorthogonalization * linear equations * biconjugate gradient method
Subject RIV: BA - General Mathematics
http://dml.cz/handle/10338.dmlcz/134394
Permanent Link: http://hdl.handle.net/11104/0124299File Download Size Commentary Version Access AplMat_43-1998-5_3.pdf 1 290.5 KB Publisher’s postprint open-access - 8.0390209 - ÚI 2013 RIV NL eng J - Journal Article
Meurant, G. - Tichý, Petr
On computing quadrature-based bounds for the A-norm of the error in conjugate gradients.
Numerical Algorithms. Roč. 62, č. 2 (2013), s. 163-191. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : conjugate gradients * norm of the error * bounds for the error norm
Subject RIV: BA - General Mathematics
Impact factor: 1.005, year: 2013
Permanent Link: http://hdl.handle.net/11104/0219082File Download Size Commentary Version Access 0390209.pdf 2 651.2 KB Author´s preprint require - 9.0358802 - ÚI 2012 RIV US eng J - Journal Article
Strakoš, Z. - Tichý, Petr
On Efficient Numerical Approximation of the Bilinear Form c* A(-1)b.
SIAM Journal on Scientific Computing. Roč. 33, č. 2 (2011), s. 565-587. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA ČR(CZ) GA201/09/0917; GA AV ČR(CZ) M100300901
Program: GA
Institutional research plan: CEZ:AV0Z10300504
Keywords : bilinear forms * scattering amplitude * method of moments * Krylov subspace methods * conjugate gradient method * biconjugate gradient method * Lanczos algorithm * Arnoldi algorithm * Gauss-Christoffel quadrature * model reduction
Subject RIV: BA - General Mathematics
Impact factor: 1.569, year: 2011
Permanent Link: http://hdl.handle.net/11104/0196736File Download Size Commentary Version Access 0358802.pdf 2 956.2 KB Author´s preprint open-access - 10.0351359 - ÚI 2011 RIV IN eng J - Journal Article
Knížek, J. - Tichý, Petr - Beránek, L. - Šindelář, Jan - Vojtěšek, B. - Bouchal, P. - Nenutil, R. - Dedík, O.
Note on Generating Orthogonal Polynomials and Their Application in Solving Complicated Polynomial Regression Tasks.
International Journal of Mathematics and Computation. Roč. 7, č. 10 (2010), s. 48-60. ISSN 0974-5718
Grant - others:GA MZd(CZ) NS9812; GA ČR(CZ) GAP304/10/0868
Institutional research plan: CEZ:AV0Z10300504; CEZ:AV0Z10750506
Keywords : polynomial regression * orthogonalization * numerical methods * markers * biomarkers
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0191129