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- 1.0525243 - ÚI 2021 RIV RO eng J - Journal Article
Kopal, J. - Rozložník, Miroslav - Tůma, M.
A Note on Adaptivity in Factorized Approximate Inverse Preconditioning.
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica. Roč. 28, č. 2 (2020), s. 149-159. ISSN 1224-1784. E-ISSN 1844-0835
R&D Projects: GA ČR(CZ) GA17-12925S
Institutional support: RVO:67985807
Keywords : sparse approximate inverse preconditioners * approximate factorization * generalized Gram-Schmidt process
OECD category: Applied mathematics
Impact factor: 1.045, year: 2020
Method of publishing: Open access
https://www.anstuocmath.ro/volume-xxviii-2020-fascicola-2.html
Permanent Link: http://hdl.handle.net/11104/0309424File Download Size Commentary Version Access 0525243-aoa.pdf 0 592.1 KB volně online 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 - 3.0467030 - ÚI 2017 CZ eng J - Journal Article
Hall, F.J. - Markham, T. L. - Rozložník, Miroslav - Stuart, J.
Miroslav Fiedler (7.4.1926–20.11.2015).
Czechoslovak Mathematical Journal. Roč. 66, č. 3 (2016), s. 585-590. ISSN 0011-4642. E-ISSN 1572-9141
Institutional support: RVO:67985807
Subject RIV: BA - General Mathematics
Impact factor: 0.364, year: 2016
http://hdl.handle.net/10338.dmlcz/145856
Permanent Link: http://hdl.handle.net/11104/0265184File Download Size Commentary Version Access a0467030.pdf 2 1.2 MB Publisher’s postprint open-access - 4.0457577 - MÚ 2016 US eng J - Journal Article
Rákosník, Jiří - Rozložník, Miroslav - Strakoš, Zdeněk
Miroslav Fiedler, 1926–2015.
Linear Algebra and Its Applications. Roč. 497, 15 May (2016), s. 162-166. ISSN 0024-3795. E-ISSN 1873-1856
Keywords : Miroslav Fiedler * linear algebra * geometry
Impact factor: 0.973, year: 2016
http://www.sciencedirect.com/science/article/pii/S0024379516001178
Permanent Link: http://hdl.handle.net/11104/0257954File Download Size Commentary Version Access Rakosnik.pdf 8 710.9 KB Publisher’s postprint open-access - 5.0456732 - 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 - 6.0456004 - 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 - 7.0454227 - ÚI 2017 RIV CZ eng J - Journal Article
Hall, F.J. - Rozložník, Miroslav
G-matrices, J-orthogonal Matrices, and their Sign Patterns.
Czechoslovak Mathematical Journal. Roč. 66, č. 3 (2016), s. 653-670. ISSN 0011-4642. E-ISSN 1572-9141
R&D Projects: GA ČR(CZ) GAP108/11/0853
Institutional support: RVO:67985807
Keywords : G-matrix * J-orthogonal matrix * sign pattern matrix
Subject RIV: BA - General Mathematics
Impact factor: 0.364, year: 2016
http://hdl.handle.net/10338.dmlcz/145863
Permanent Link: http://hdl.handle.net/11104/0254933File Download Size Commentary Version Access a0454227.pdf 1 204.6 KB Publisher’s postprint open-access - 8.0444138 - ÚI 2016 RIV US eng J - Journal Article
Bai, Z.-Z. - Rozložník, Miroslav
On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems.
SIAM Journal on Numerical Analysis. Roč. 53, č. 4 (2015), s. 1716-1737. ISSN 0036-1429. E-ISSN 1095-7170
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : matrix splitting * stationary iteration method * backward error * rounding error analysis
Subject RIV: BA - General Mathematics
Impact factor: 1.899, year: 2015
Permanent Link: http://hdl.handle.net/11104/0246711File Download Size Commentary Version Access a0444138.pdf 9 21.4 MB Publisher’s postprint require 0444138.pdf 5 693 KB Author´s preprint require - 9.0438752 - 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 - 10.0405455 - UIVT-O 330830 RIV US eng J - Journal Article
Paige, C. C. - Rozložník, Miroslav - Strakoš, Zdeněk
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES.
[Modifikovaný Gram-Schmidtův algoritmus, úloha nejmenších čtverců a zpětná stabilita metody GMRES.]
SIAM Journal on Matrix Analysis and Applications. Roč. 28, č. 1 (2006), s. 264-284. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z10300504
Keywords : rounding error analysis * modified Gram-Schmidt * QR factorization * loss of orthogonality * least squares * singular values * backward stability * linear equations * condition numbers * large sparse matrices * iterative solution * Krylov subspace methods * Arnoldi method * generalized minimum residual method
Subject RIV: BA - General Mathematics
Impact factor: 1.798, year: 2006
Permanent Link: http://hdl.handle.net/11104/0125619File Download Size Commentary Version Access 0405455.pdf 1 765.8 KB Author´s preprint open-access