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- 1.0490058 - 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 - 2.0438625 - 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 - 3.0427239 - 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 - 4.0421797 - ÚI 2014 RIV US eng J - Journal Article
Faber, V. - Liesen, J. - Tichý, Petr
Properties of Worst-Case GMRES.
SIAM Journal on Matrix Analysis and Applications. Roč. 34, č. 4 (2013), s. 1500-1519. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Grant - others:GA AV ČR(CZ) M10041090
Institutional support: RVO:67985807
Keywords : GMRES method * worst-case convergence * ideal GMRES * matrix approximation problems * minmax
Subject RIV: BA - General Mathematics
Impact factor: 1.806, year: 2013
Permanent Link: http://hdl.handle.net/11104/0228050File Download Size Commentary Version Access 0421797.pdf 0 768.9 KB Author´s preprint open-access - 5.0405244 - UIVT-O 330441 RIV DE eng J - Journal Article
Strakoš, Zdeněk - Liesen, J.
On Numerical Stability in Large Scale Linear Algebraic Computations.
[O numerické stabilitě v rozsáhlých algebraických výpočtech.]
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 85, č. 5 (2005), s. 307-325. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z10300504
Keywords : linear algebraic systems * eigenvalue problems * convergence * numerical stability * backward error * accuracy * Lanczos method * conjugate gradient method * GMRES method
Subject RIV: BA - General Mathematics
Impact factor: 0.351, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125429 - 6.0403233 - UIVT-O 990032 RIV SE eng J - Journal Article
Arioli, M. - Pták, Vlastimil - Strakoš, Zdeněk
Krylov Sequences of Maximal Length and Convergence of GMRES.
Bit. Roč. 38, č. 4 (1998), s. 636-643. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA AV ČR IAA2030706
Institutional research plan: AV0Z1030915
Keywords : minimal polynomial * Krylov sequences * GMRES method * convergence * Jordan canonical form
Subject RIV: BA - General Mathematics
Impact factor: 0.623, year: 1998
Permanent Link: http://hdl.handle.net/11104/0123553 - 7.0403232 - UIVT-O 200425 CZ eng V - Research Report
Arioli, M. - Pták, Vlastimil - Strakoš, Zdeněk
Krylov Sequences of Maximal Length and Convergence of GMRES.
Prague: ICS AS CR, 1997. 10 s. Technical Report, V-722.
R&D Projects: GA AV ČR IAA2030706
Keywords : minimal polynomial * Krylov sequences * GMRES method * convergence
Permanent Link: http://hdl.handle.net/11104/0123552 - 8.0403039 - UIVT-O 970096 CZ eng D - Thesis
Rozložník, Miroslav
Numerical Stability of the GMRES Method.
Prague: ICS AS CR, 1997. 79 s. Dissertation, K-52.
R&D Projects: GA AV ČR IAA230401; GA ČR GA201/93/0067; GA AV ČR IAE1030701
Grant - others:National Science Foundation(CZ) INT 921824
Keywords : numerical stability * GMRES method * Krylov space method * modified Gram-Schmidt Arnoldi process
Permanent Link: http://hdl.handle.net/11104/0123402File Download Size Commentary Version Access 0403039.pdf 0 932.7 KB Other open-access - 9.0402821 - UIVT-O 970070 RIV SE eng J - Journal Article
Greenbaum, A. - Rozložník, Miroslav - Strakoš, Zdeněk
Numerical Behaviour of the Modified Gram-Schmidt GMRES Implementation.
Bit. Roč. 37, č. 3 (1997), s. 706-719. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA AV ČR IAA230401; GA AV ČR IAA2030706
Keywords : linear algebraic systems * numerical stability * GMRES method * modified Gram-Schmidt Arnoldi process
Impact factor: 0.474, year: 1997
Permanent Link: http://hdl.handle.net/11104/0123197File Download Size Commentary Version Access 0402821.pdf 0 699.3 KB Author´s preprint open-access - 10.0402546 - UIVT-O 950130 RIV SE eng J - Journal Article
Drkošová, Jitka - Greenbaum, A. - Rozložník, Miroslav - Strakoš, Zdeněk
Numerical Stability of GMRES.
Bit. Roč. 35, č. 3 (1995), s. 309-330. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA AV ČR IAA230401
Keywords : GMRES algorithm * numerical stability * GMRES method * backward error * numerical stability * linear algebraic systems
Impact factor: 0.520, year: 1995
Permanent Link: http://hdl.handle.net/11104/0122951File Download Size Commentary Version Access 0402546.pdf 0 725.1 KB Author´s preprint open-access