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- 1.0479020 - ÚI 2018 PL eng A - Abstract
Rozložník, Miroslav
Numerics of the Gram-Schmidt process and its relation to the SR decomposition.
MAT TRIAD 2017. Poznan: Bogucki Wydavatelstvo Naukowe, 2017 - (Filipiak, K.). s. 641-642. ISBN 978-83-7986-157-6.
[MAT TRIAD 2017. International Conference on Matrix Analysis and its Applications. 25.09.2017-29.09.2017, Bedlewo]
R&D Projects: GA ČR GA17-12925S
Institutional support: RVO:67985807
Keywords : Orthogonalization * Gram-Schmidt process * indefinite inner product * skewsymmetric bilinear form * SR decomposition
Permanent Link: http://hdl.handle.net/11104/0275039File Download Size Commentary Version Access a0479020.pdf 1 53.9 KB Publisher’s postprint open-access - 2.0473670 - ÚI 2018 RIV NL eng J - Journal Article
Kopal, Jiří - Rozložník, Miroslav - Tůma, Miroslav
An Adaptive Multilevel Factorized Sparse Approximate Inverse Preconditioning.
Advances in Engineering Software. Roč. 113, November (2017), s. 19-24. ISSN 0965-9978. E-ISSN 1873-5339
R&D Projects: GA ČR GA13-06684S
Grant - others:GA MŠk(CZ) LL1202
Institutional support: RVO:67985807
Keywords : approximate inverse * Gram–Schmidt orthogonalization * incomplete factorization * multilevel methods * preconditioned conjugate gradient method
OECD category: Applied mathematics
Impact factor: 3.198, year: 2017
Permanent Link: http://hdl.handle.net/11104/0270800 - 3.0456732 - ÚI 2017 RIV US eng J - Journal Article
Fassbender, H. - Rozložník, Miroslav
On the Conditioning of Factors in the SR Decomposition.
Linear Algebra and Its Applications. Roč. 505, 15 September (2016), s. 224-244. ISSN 0024-3795. E-ISSN 1873-1856
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : SR decomposition * symplectic matrices * skew-symmetric bilinear forms * orthogonalization * condition number
Subject RIV: BA - General Mathematics
Impact factor: 0.973, year: 2016
Permanent Link: http://hdl.handle.net/11104/0257207File Download Size Commentary Version Access 0456732.pdf 0 647.2 KB Author´s preprint require a0456732.pdf 11 403.3 KB Publisher’s postprint require - 4.0456004 - ÚI 2017 RIV US eng J - Journal Article
Kopal, Jiří - Rozložník, Miroslav - Tůma, Miroslav
Factorized Approximate Inverses With Adaptive Dropping.
SIAM Journal on Scientific Computing. Roč. 38, č. 3 (2016), A1807-A1820. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA ČR GA13-06684S
Grant - others:GA MŠk(CZ) LL1202
Institutional support: RVO:67985807
Keywords : approximate inverses * incomplete factorization * Gram–Schmidt orthogonalization * preconditioned iterative methods
Subject RIV: BA - General Mathematics
Impact factor: 2.195, year: 2016
Permanent Link: http://hdl.handle.net/11104/0256585File Download Size Commentary Version Access 0456004.pdf 1 8.8 MB Author´s preprint require a0456004.pdf 10 1.2 MB Publisher’s postprint require - 5.0438752 - ÚI 2015 RIV NL eng J - Journal Article
Kopal, J. - Rozložník, Miroslav - Tůma, Miroslav
Approximate Inverse Preconditioners with Adaptive Dropping.
Advances in Engineering Software. Roč. 84, June (2015), s. 13-20. ISSN 0965-9978. E-ISSN 1873-5339
R&D Projects: GA ČR(CZ) GAP108/11/0853; GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : approximate inverse * Gram-Schmidt orthogonalization * incomplete decomposition * preconditioned conjugate gradient method * algebraic preconditioning * pivoting
Subject RIV: BA - General Mathematics
Impact factor: 1.673, year: 2015
Permanent Link: http://hdl.handle.net/11104/0242122 - 6.0427239 - ÚI 2015 GB eng A - Abstract
Duintjer Tebbens, Jurjen
On using (harmonic) Ritz values to precondition restarted GMRES.
International Conference On Preconditioning Techniques For Scientific And Industrial Applications. Oxford, 2013.
[International Conference On Preconditioning Techniques For Scientific And Industrial Applications. 19.06.2013-21.06.2013, Oxford]
Institutional support: RVO:67985807
Keywords : restarted GMRES method prescribed convergence * Arnoldi orthogonalization * stagnation * (harmonic) Ritz values
Subject RIV: BA - General Mathematics
http://people.maths.ox.ac.uk/ekertl/PRECON13/preprogram.html
Permanent Link: http://hdl.handle.net/11104/0232834File Download Size Commentary Version Access 0427239.pdf 1 507.4 KB Author´s preprint open-access - 7.0405259 - UIVT-O 330507 RIV DE eng J - Journal Article
Giraud, L. - Langou, J. - Rozložník, Miroslav - van den Eshof, J.
Rounding Error Analysis of the Classical Gram-Schmidt Orthogonalization Process.
[Analýza zaokrouhlovacích chyb klasického Gram-Schmidtova ortogonalizačního procesu.]
Numerische Mathematik. Roč. 101, - (2005), s. 87-100. ISSN 0029-599X. E-ISSN 0945-3245
R&D Projects: GA AV ČR 1ET400300415; GA AV ČR IAA1030405
Institutional research plan: CEZ:AV0Z10300504
Keywords : rounding error analysis * orthogonalization * classical Gram-Schmidt process
Subject RIV: BA - General Mathematics
Impact factor: 1.222, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125442File Download Size Commentary Version Access 0405259.pdf 0 640.2 KB Author´s preprint open-access - 8.0404788 - UIVT-O 220669 RIV NL eng J - Journal Article
Giraud, L. - Langou, J. - Rozložník, Miroslav
The Loss of Orthogonality in the Gram-Schmidt Orthogonalization Process.
[O ztrátě ortogonality v klasickém Gram-Schmidtově ortogonalizačním procesu.]
Computers & Mathematics With Applications. Roč. 50, - (2005), s. 1069-1075. ISSN 0898-1221. E-ISSN 1873-7668
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z10300504
Keywords : numerical linear algebra * QR factorization * Gram-Schmidt orthogonalization * reorthogonalization * rounding error analysis
Subject RIV: BA - General Mathematics
Impact factor: 0.430, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125022File Download Size Commentary Version Access 0404788.pdf 0 2.1 MB Author´s preprint open-access - 9.0404727 - UIVT-O 20030115 RIV US eng J - Journal Article
Benzi, M. - Tůma, Miroslav
A Robust Preconditioner with Low Memory Requirements for Large Sparse Least Squares Problems.
SIAM Journal on Scientific Computing. Roč. 25, č. 2 (2003), s. 499-512. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA1030103; GA AV ČR IAA2030801
Institutional research plan: AV0Z1030915
Keywords : large sparse least squares problems * preconditioned CGLS * robust incomplete factorization * incomplete C-orthogonalization * incomplete QR
Subject RIV: BA - General Mathematics
Impact factor: 1.379, year: 2003
Permanent Link: http://hdl.handle.net/11104/0124965File Download Size Commentary Version Access 0404727.pdf 0 682.1 KB Author´s preprint open-access - 10.0404726 - UIVT-O 20030114 RIV GB eng J - Journal Article
Benzi, M. - Tůma, Miroslav
A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices.
Numerical Linear Algebra with Applications. Roč. 10, - (2003), s. 385-400. ISSN 1070-5325. E-ISSN 1099-1506
R&D Projects: GA AV ČR IAA2030801; GA AV ČR IAA1030103
Institutional research plan: AV0Z1030915
Keywords : sparse linear systems * positive definite matrices * preconditioned conjugate gradients * incomplete factorization * A-orthogonalization * SAINV
Subject RIV: BA - General Mathematics
Impact factor: 1.042, year: 2003
Permanent Link: http://hdl.handle.net/11104/0124964File Download Size Commentary Version Access 0404726.pdf 2 726.5 KB Author´s preprint open-access