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- 1.0532884 - ÚI 2021 RIV CH eng B - Monography
Meurant, G. - Duintjer Tebbens, Jurjen
Krylov Methods for Nonsymmetric Linear Systems - From Theory to Computations.
Cham: Springer, 2020. 686 s. Springer Series in Computational Mathematics, 57. ISBN 978-3-030-55250-3
Institutional support: RVO:67985807
Keywords : Krylov methods * nonsymmetrical linear systems * Q-OR methods * Q-MR methods * Krylov subspaces * FOM * GMRES * Hessenberg * CMRH * Arnoldi algorithm * IDR family * finite precision arithmetic * Lanczos methods
OECD category: Applied mathematics
Permanent Link: http://hdl.handle.net/11104/0311262 - 2.0429200 - ÚI 2015 RIV CH eng J - Journal Article
Rohn, Jiří
Verification of Linear (In)Dependence in Finite Precision Arithmetic.
Mathematics in Computer Science. Roč. 8, č. 3-4 (2014), s. 323-328. ISSN 1661-8289
Institutional support: RVO:67985807
Keywords : linear dependence * linear independence * pseudoinverse matrix * finite precision arithmetic * verification * MATLAB file
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0234358 - 3.0405612 - 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 - 4.0405082 - UIVT-O 20030080 CZ cze V - Research Report
Strakoš, Zdeněk - Tichý, Petr
Simple Estimation of the A-norm of the Error in the Preconditioned Conjugate Gradient Method.
Prague: ICS AS CR, 2003. 36 s. Technical Report, V-892.
R&D Projects: GA ČR GA201/02/0595; GA AV ČR KJB1030306
Institutional research plan: AV0Z1030915
Keywords : preconditioned conjugate gradient method * error bounds * stopping criteria * evaluation of convergence * finite precision arithmetic * rounding errors
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125296File Download Size Commentary Version Access v892-03.pdf 15 912.2 KB Other open-access - 5.0404909 - UIVT-O 20030154 CH eng A - Abstract
Strakoš, Zdeněk - Tichý, Petr
On the History and Presence of Error Estimation in the Conjugate Gradient Method.
Iterative Solvers for Large Linear Systems. Zürich: Federal Institute of Technology, 2002. s. 34.
[Latsis Symposium 2002. 18.02.2002-21.02.2002, Zürich]
Institutional research plan: AV0Z1030915
Keywords : conjugate gradient method * Gauss quadrature * evaluation of convergence * error bounds * finite precision arithmetic * rounding errors * loss of orthogonality
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125131 - 6.0404751 - UIVT-O 20020076 RIV US eng J - Journal Article
Rozložník, Miroslav - Simoncini, V.
Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning.
SIAM Journal on Matrix Analysis and Applications. Roč. 24, č. 2 (2002), s. 368-391. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA101/00/1035; GA ČR GA201/00/0080
Institutional research plan: AV0Z1030915
Keywords : saddle point problems * preconditioning * indefinite linear systems * finite precision arithmetic * conjugate gradients
Subject RIV: BA - General Mathematics
Impact factor: 0.753, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124987File Download Size Commentary Version Access 0404751.pdf 1 819.3 KB Author´s preprint open-access - 7.0404710 - UIVT-O 20020242 CZ cze D - Thesis
Tichý, Petr
O některých otevřených problémech v krylovovských metodách.
[On Some Open Problems In Krylov Subspace Methods.]
KNM MFF UK a ÚI AVČR. Defended: MFF UK, Ke Karlovu 3, Praha 2. 20020627. - Praha: MFF UK, 2002. 114 s. Disertační práce.
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: AV0Z1030915
Keywords : conjugate gradient method * error bounds * finite precision arithmetic
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0124949File Download Size Commentary Version Access 0404710.pdf 0 1 MB Other require 0404710a.pdf 0 225.6 KB autoreferát Other require - 8.0404211 - 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 - 9.0376315 - ÚI 2013 CZ eng V - Research Report
Rohn, Jiří
Verification of linear (in)dependence in finite precision arithmetic.
Prague: ICS AS CR, 2012. 8 s. Technical Report, V-1156.
Institutional research plan: CEZ:AV0Z10300504
Keywords : linear dependence * linear independence * pseudoinverse matrix * finite precision arithmetic * verification * INTLAB file
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0208750File Download Size Commentary Version Access v1156-12.pdf 25 207.3 KB Other open-access - 10.0356217 - ÚI 2011 CZ eng A - Abstract
Okša, G. - Rozložník, Miroslav
On numerical behavior of the Arnoldi algorithm in finite precision arithmetic for matrices with close eigenvalues.
SNA '11 - Seminar on Numerical Analysis & Winter School. Ostrava: Institute of Geonics AS CR, 2011 - (Blaheta, R.; Starý, J.). s. 88-91. ISBN 978-80-86407-19-7.
[SNA ’11. Seminar on Numerical Analysis. 24.01.2011-28.01.2011, Rožnov pod Radhoštěm]
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : iterative method * Arnoldi process * finite precision arithmetic
Subject RIV: BA - General Mathematics
http://www.ugn.cas.cz/events/2011/sna/sna-sbornik-final.pdf
Permanent Link: http://hdl.handle.net/11104/0194797File Download Size Commentary Version Access a0356217.pdf 0 519 KB Publisher’s postprint open-access