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- 1.0404264 - UIVT-O 20020013 RIV NL eng J - Journal Article
Gutknecht, M. H. - Rozložník, Miroslav
A Framework for Generalized Conjugate Gradient Methods - with Special Emphasis on Contributions by Rüdiger Weiss.
Applied Numerical Mathematics. Roč. 41, - (2002), s. 7-22. ISSN 0168-9274. E-ISSN 1873-5460
R&D Projects: GA AV ČR IAA1030103; GA ČR GA101/00/1035
Institutional research plan: AV0Z1030915
Keywords : sparse linear systems * Krylov space method * orthogonal residual method * minimal residual method * conjugate gradient method * residual smoothing * CG * CGNE * CGNR * CR * FOM * GMRES * PRES
Subject RIV: BA - General Mathematics
Impact factor: 0.504, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124527File Download Size Commentary Version Access 0404264.pdf 0 749.4 KB Author´s preprint open-access - 2.0404252 - UIVT-O 20010076 RIV NL eng J - Journal Article
Gutknecht, M. H. - Rozložník, Miroslav
By how much can Residual Minimization Accelerate the Convergence of Orthogonal Residual Methods?
Numerical Algorithms. Roč. 27, - (2001), s. 189-213. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA ČR GA201/98/P108
Institutional research plan: AV0Z1030915
Keywords : system of linear algebraic equations * iterative method * Krylov space method * conjugate gradient method * biconjugate gradient method * CG * CGNE * CGNR * CGS * FOM * GMRes * QMR * TFQMR * residual smoothing * MR smoothing * QMR smoothing
Subject RIV: BA - General Mathematics
Impact factor: 0.438, year: 2001
Permanent Link: http://hdl.handle.net/11104/0124515File Download Size Commentary Version Access 0404252.pdf 0 1.3 MB Author´s preprint open-access - 3.0403905 - UIVT-O 20000069 RIV US eng J - Journal Article
Gutknecht, M. H. - Strakoš, Zdeněk
Accuracy of Two Three-Term and Three Two-Term Recurrences for Krylov Space Solvers.
SIAM Journal on Matrix Analysis and Applications. Roč. 22, č. 1 (2000), s. 213-229. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA205/96/0921; GA AV ČR IAA2030706
Institutional research plan: AV0Z1030915
Keywords : linear system of equations * iterative method * Krylov space method * conjugate gradient method * tree-term recurrence * accuracy * roundoff
Subject RIV: BA - General Mathematics
Impact factor: 1.182, year: 2000
Permanent Link: http://hdl.handle.net/11104/0124192 - 4.0403719 - UIVT-O 20010006 RIV SE eng J - Journal Article
Gutknecht, M. H. - Rozložník, Miroslav
Residual Smoothing Techniques: Do They Improve the Limiting Accuracy of Iterative Solvers?
Bit. Roč. 41, č. 1 (2001), s. 86-114. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA ČR GA201/98/P108
Institutional research plan: AV0Z1030915
Keywords : iterative methods * residual smoothing * limiting accuracy
Subject RIV: BA - General Mathematics
Impact factor: 0.835, year: 2001
Permanent Link: http://hdl.handle.net/11104/0124013File Download Size Commentary Version Access 0403719.pdf 0 1.2 MB Author´s preprint open-access - 5.0310698 - ÚI 2010 RIV US eng J - Journal Article
Jiránek, P. - Rozložník, Miroslav - Gutknecht, M. H.
How to make Simpler GMRES and GCR more Stable.
[Jak stabilizovat metody Simpler GMRES and GCR?]
SIAM Journal on Matrix Analysis and Applications. Roč. 30, č. 4 (2008), s. 1483-1499. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA MŠMT 1M0554; GA AV ČR IAA100300802; GA AV ČR IAA1030405
Institutional research plan: CEZ:AV0Z10300504
Keywords : large-scale nonsymmetric linear systems * Krylov subspace methods * minimum residual methods * numerical stability * rounding errors
Subject RIV: BA - General Mathematics
Impact factor: 1.328, year: 2008
Permanent Link: http://hdl.handle.net/11104/0162481File Download Size Commentary Version Access 0310698.pdf 0 735.6 KB Author´s preprint open-access