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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, year: 2023
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 - 2.0537319 - ÚI 2021 RIV NL eng J - Journal Article
Duintjer Tebbens, Jurjen - Meurant, G.
On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES.
Numerical Algorithms. Roč. 84, č. 4 (2020), s. 1329-1352. ISSN 1017-1398. E-ISSN 1572-9265
Institutional support: RVO:67985807
Keywords : Restarted GMRES * (harmonic) Ritz values * GMRES stagnation * Prescribed convergence
OECD category: Applied mathematics
Impact factor: 3.041, year: 2020
Method of publishing: Limited access
http://dx.doi.org/10.1007/s11075-019-00846-z
Permanent Link: http://hdl.handle.net/11104/0315045 - 3.0534435 - ÚGN 2021 RIV CN eng J - Journal Article
Axelsson, Owe - Salkuyeh, D.K.
A new iteration and preconditioning method for elliptic PDE-constrained optimization problems.
Numerical Mathematics. Roč. 13, č. 4 (2020), s. 1098-1122. ISSN 1004-8979. E-ISSN 2079-7338
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : preconditioner * hybrid * PRESB * GMRES * PDE-constrained optimization * optimization
OECD category: Applied mathematics
Impact factor: 1.210, year: 2020
Method of publishing: Limited access
http://www.global-sci.org/intro/article_detail/nmtma/16968.html
Permanent Link: http://hdl.handle.net/11104/0312629File Download Size Commentary Version Access UGN_0534435.pdf 2 222.8 KB Publisher’s postprint require - 4.0532884 - 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 - 5.0524496 - ÚGN 2021 RIV US eng J - Journal Article
Kubínová, Marie - Soothalter, K. M.
Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES.
SIAM Journal on Matrix Analysis and Applications. Roč. 41, č. 2 (2020), s. 464-486. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : block Krylov subspace methods * multiple right-hand sides * block GMRES * convergence * spectrum * block companion matrix
OECD category: Applied mathematics
Impact factor: 1.944, year: 2020
Method of publishing: Limited access
https://epubs.siam.org/doi/10.1137/19M1272469
Permanent Link: http://hdl.handle.net/11104/0308870File Download Size Commentary Version Access UGN_0524496.pdf 0 529.3 KB Publisher’s postprint require - 6.0490058 - 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 - 7.0477885 - ÚI 2018 RIV US eng J - Journal Article
Du, K. - Duintjer Tebbens, Jurjen - Meurant, G.
Any Admissible Harmonic Ritz Value Set is Possible for GMRES.
Electronic Transactions on Numerical Analysis. Roč. 47, September 18 (2017), s. 37-56. ISSN 1068-9613. E-ISSN 1068-9613
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : Ritz values * harmonic Ritz values * GMRES convergence * prescribed residual norms * FOM convergence
OECD category: Applied mathematics
Impact factor: 1.138, year: 2017
http://etna.mcs.kent.edu/volumes/2011-2020/vol47/abstract.php?vol=47&pages=37-56
Permanent Link: http://hdl.handle.net/11104/0274104File Download Size Commentary Version Access a0477885.pdf 15 323.4 KB Publisher’s postprint require - 8.0447835 - ÚTIA 2017 RIV SE eng J - Journal Article
Marcinkowski, L. - Rahman, T. - Loneland, A. - Valdman, Jan
Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems.
Bit. Roč. 56, č. 3 (2016), s. 967-993. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA ČR GA13-18652S
Institutional support: RVO:67985556
Keywords : Domain decomposition * Additive Schwarz method * Finite volume element * GMRES
Subject RIV: BA - General Mathematics
Impact factor: 1.670, year: 2016
http://library.utia.cas.cz/separaty/2015/MTR/valdman-0447835.pdf
Permanent Link: http://hdl.handle.net/11104/0249607 - 9.0438625 - ÚI 2015 RIV US eng J - Journal Article
Morikuni, Keiichi - Hayami, K.
Convergence of Inner-Iteration GMRES Methods for Rank-Deficient Least Squares Problems.
SIAM Journal on Matrix Analysis and Applications. Roč. 36, č. 1 (2015), s. 225-250. ISSN 0895-4798. E-ISSN 1095-7162
Institutional support: RVO:67985807
Keywords : least squares problem * iterative methods * preconditioner * inner-outer iteration * GMRES method * stationary iterative method * rank-deficient problem
Subject RIV: BA - General Mathematics
Impact factor: 1.883, year: 2015
Permanent Link: http://hdl.handle.net/11104/0242032File Download Size Commentary Version Access a0438625.pdf 10 509.4 KB Publisher’s postprint require - 10.0430466 - ÚI 2015 RIV NL eng J - Journal Article
Meurant, G. - Duintjer Tebbens, Jurjen
The Role Eigenvalues Play in Forming GMRES Residual Norms with Non-Normal Matrices.
Numerical Algorithms. Roč. 68, č. 1 (2015), s. 143-165. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : GMRES convergence * non-normal matrix * eigenvalues * residual norms
Subject RIV: BA - General Mathematics
Impact factor: 1.366, year: 2015
Permanent Link: http://hdl.handle.net/11104/0235396File Download Size Commentary Version Access a0430466.pdf 4 440.5 KB Publisher’s postprint require