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- 1.0585518 - MÚ 2025 RIV US eng J - Journal Article
Thomas, S. - Carson, E. - Rozložník, Miroslav - Carr, A. - Świrydowicz, K.
Iterated Gauss-Seidel GMRES.
SIAM Journal on Scientific Computing. Roč. 46, č. 2 (2024), S254-S279. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA ČR(CZ) GA23-06159S
Institutional support: RVO:67985840
Keywords : GMRES * orthogonal complement
OECD category: Pure mathematics
Impact factor: 3.1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1137/22M1491241
Permanent Link: https://hdl.handle.net/11104/0353201File Download Size Commentary Version Access Rozloznik.pdf 0 1.6 MB Publisher’s postprint require - 2.0550984 - MÚ 2023 RIV US eng J - Journal Article
Carson, E. - Lund, K. - Rozložník, Miroslav - Thomas, S.
Block Gram-Schmidt algorithms and their stability properties.
Linear Algebra and Its Applications. Roč. 638, April 1 (2022), s. 150-195. ISSN 0024-3795. E-ISSN 1873-1856
R&D Projects: GA ČR(CZ) GA20-01074S
Institutional support: RVO:67985840
Keywords : Gram-Schmidt * Block Krylov subspace methods * stabilityLoss of orthogonality
OECD category: Pure mathematics
Impact factor: 1.1, year: 2022
Method of publishing: Open access
https://doi.org/10.1016/j.laa.2021.12.017
Permanent Link: http://hdl.handle.net/11104/0326259File Download Size Commentary Version Access Rozloznik.pdf 8 1.4 MB Publisher’s postprint open-access - 3.0545475 - MÚ 2022 RIV US eng J - Journal Article
Carson, E. - Lund, K. - Rozložník, Miroslav
The stability of block variants of classical Gram-Schmidt.
SIAM Journal on Matrix Analysis and Applications. Roč. 42, č. 3 (2021), s. 1365-1380. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR(CZ) GA20-01074S
Institutional support: RVO:67985840
Keywords : Gram-Schmidt * block vectors * block Krylov subspace methods * loss of orthogonality
OECD category: Pure mathematics
Impact factor: 1.908, year: 2021
Method of publishing: Limited access
https://doi.org/10.1137/21M1394424
Permanent Link: http://hdl.handle.net/11104/0322163File Download Size Commentary Version Access Rozloznik1.pdf 7 1.3 MB Publisher’s postprint require - 4.0537549 - MÚ 2022 RIV US eng J - Journal Article
Fassbender, H. - Rozložník, Miroslav - Singer, S.
Nearly optimal scaling in the SR decomposition.
Linear Algebra and Its Applications. Roč. 613, March (2021), s. 295-319. ISSN 0024-3795. E-ISSN 1873-1856
R&D Projects: GA ČR(CZ) GA20-01074S
Institutional support: RVO:67985840
Keywords : SR decomposition * scaling * condition number
OECD category: Pure mathematics
Impact factor: 1.307, year: 2021
Method of publishing: Limited access
https://doi.org/10.1016/j.laa.2020.11.011
Permanent Link: http://hdl.handle.net/11104/0315367File Download Size Commentary Version Access Rozloznik.pdf 6 346 KB Publisher’s postprint require - 5.0531904 - MÚ 2021 RIV GB eng J - Journal Article
Rebollo-Neira, L. - Rozložník, Miroslav - Sasmal, P.
Analysis of the self projected matching pursuit algorithm.
Journal of the Franklin Institute-Engineering and Applied Mathematics. Roč. 357, č. 13 (2020), s. 8980-8994. ISSN 0016-0032. E-ISSN 1879-2693
R&D Projects: GA ČR(CZ) GA20-01074S
Institutional support: RVO:67985840
Keywords : linear algebra * Greedy strategies * least squares problems * low memory
OECD category: Applied mathematics
Impact factor: 4.504, year: 2020
Method of publishing: Limited access
https://doi.org/10.1016/j.jfranklin.2020.06.006
Permanent Link: http://hdl.handle.net/11104/0310535File Download Size Commentary Version Access Rozloznik.pdf 3 1.1 MB Publisher’s postprint require - 6.0495861 - ÚGN 2019 CZ eng J - Journal Article
Rozložník, Miroslav - Sysala, Stanislav
Editorial.
Applications of Mathematics. Roč. 52, č. 6 (2017), s. 535-536. ISSN 0862-7940. E-ISSN 1572-9109.
[Seminar on Numerical Analysis: Modelling and Simulation of Challenging Engineering Problems. Ostrava, 30.01.2017-03.02.2017]
Institutional support: RVO:68145535 ; RVO:67985840
Keywords : numerical analysis * applied mathematics * mathematical modeling
OECD category: Applied mathematics; Applied mathematics (MU-W)
Impact factor: 0.897, year: 2017
https://link.springer.com/content/pdf/10.21136%2FAM.2017.0297-17.pdf
Permanent Link: http://hdl.handle.net/11104/0288748File Download Size Commentary Version Access UGN_0495861.pdf 2 37.9 KB Publisher’s postprint require - 7.0495023 - MÚ 2019 RIV US eng J - Journal Article
Carson, E.T. - Rozložník, Miroslav - Strakoš, Z. - Tichý, P. - Tůma, M.
The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology.
SIAM Journal on Scientific Computing. Roč. 40, č. 5 (2018), A3549-A3580. ISSN 1064-8275. E-ISSN 1095-7197
Institutional support: RVO:67985840
Keywords : pipelined Krylov subspace methods * pipelined conjugate gradient methods * numerical stability
OECD category: Pure mathematics
Impact factor: 2.310, year: 2018
https://epubs.siam.org/doi/abs/10.1137/16M1103361
Permanent Link: http://hdl.handle.net/11104/0288062File Download Size Commentary Version Access Rozloznik1.pdf 15 19.5 MB Publisher’s postprint require - 8.0490058 - MÚ 2019 RIV US eng J - Journal Article
Morikuni, K. - Rozložník, Miroslav
On GMRES for singular EP and GP systems.
SIAM Journal on Matrix Analysis and Applications. Roč. 39, č. 2 (2018), s. 1033-1048. ISSN 0895-4798. E-ISSN 1095-7162
Institutional support: RVO:67985840
Keywords : GMRES method * singular linear systems * least squares problems * group inverse
OECD category: Pure mathematics
Impact factor: 1.912, year: 2018
https://epubs.siam.org/doi/10.1137/17M1128216
Permanent Link: http://hdl.handle.net/11104/0284355File Download Size Commentary Version Access Rozloznik.pdf 8 843.8 KB Publisher’s postprint require - 9.0480731 - MÚ 2018 RIV PL eng J - Journal Article
Hall, F.J. - Li, Z. - Parnass, C. - Rozložník, Miroslav
Sign patterns of J-orthogonal matrices.
Special Matrices. Roč. 5, č. 1 (2017), s. 225-241. ISSN 2300-7451
Institutional support: RVO:67985840
Keywords : G-matrix * J-orthogonal matrix * sign pattern matrix * sign patterns that allow J-orthogonality
OECD category: Applied mathematics
https://www.degruyter.com/view/j/spma.2017.5.issue-1/spma-2017-0016/spma-2017-0016.xml?format=INT
Permanent Link: http://hdl.handle.net/11104/0276431File Download Size Commentary Version Access Rozloznik.pdf 2 451 KB Publisher’s postprint require