Search results
- 1.0405455 - 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 - 2.0404084 - UIVT-O 20020010 RIV US eng J - Journal Article
Paige, C. C. - Strakoš, Zdeněk
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.
SIAM Journal on Scientific Computing. Roč. 23, č. 6 (2002), s. 1899-1924. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA1030103
Institutional research plan: AV0Z1030915
Keywords : linear equations * eigenproblem * large sparse matrices * iterative solutions * Krylov subspace methods * Arnoldi method * GMRES * modified Gram-Schmidt * least squares * total least squares * singular values
Subject RIV: BA - General Mathematics
Impact factor: 1.291, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124355 - 3.0390278 - ÚI 2014 RIV NL eng J - Journal Article
Duintjer Tebbens, Jurjen - Meurant, G.
Prescribing the behavior of early terminating GMRES and Arnoldi iterations.
Numerical Algorithms. Roč. 65, č. 1 (2014), s. 69-90. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA AV ČR(CZ) M100301201
Institutional research plan: CEZ:AV0Z10300504
Keywords : Arnoldi process * early termination * GMRES method * prescribed GMRES convergence * Arnoldi method * prescribed Ritz values
Subject RIV: BA - General Mathematics
Impact factor: 1.417, year: 2014
Permanent Link: http://hdl.handle.net/11104/0219143 - 4.0382257 - ÚI 2013 ES eng A - Abstract
Duintjer Tebbens, Jurjen - Meurant, G.
Prescribing the behavior of the GMRES method and the Arnoldi method simultaneously.
SIAM Conference on Applied Linear Algebra Abstracts. Valencia: Universitat Politecnica de Valencia, 2012. s. 91.
[SIAM Conference on Applied Linear Algebra. 18.06.2012-22.06.2012, Valencia]
Institutional support: RVO:67985807
Keywords : Ritz values * prescribed convergence * Arnoldi orthogonalization * Arnoldi method * GMRES method
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0212531File Download Size Commentary Version Access a0382257.pdf 0 45.9 KB Publisher’s postprint open-access - 5.0382221 - ÚI 2013 RIV US eng J - Journal Article
Duintjer Tebbens, Jurjen - Meurant, G.
Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES.
SIAM Journal on Matrix Analysis and Applications. Roč. 33, č. 3 (2012), s. 958-978. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA AV ČR(CZ) M100300901
Institutional research plan: CEZ:AV0Z10300504
Keywords : Ritz values * Arnoldi process * Arnoldi method * GMRES method * prescribed convergence * interlacing properties
Subject RIV: BA - General Mathematics
Impact factor: 1.342, year: 2012
Permanent Link: http://hdl.handle.net/11104/0212509 - 6.0364596 - ÚI 2012 US eng A - Abstract
Duintjer Tebbens, Jurjen - Meurant, G.
On Arbitrary Convergence Behavior of the Arnoldi Method.
Householder Symposium XVIII. Lawrence Berkeley National Laboratory, 2011. s. 65-66.
[Householder Symposium on Numerical Linear Algebra /18./. 12.06.2011-17.06.2011, Tahoe City]
Institutional research plan: CEZ:AV0Z10300504
Keywords : Ritz values * prescribed convergence * Arnoldi orthogonalization * Arnoldi method * GMRES method
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0200040 - 7.0346099 - ÚI 2011 CZ eng K - Conference Paper (Czech conference)
Duintjer Tebbens, Jurjen - Meurant, G.
On the Ritz values that can be generated by the Arnoldi method.
Seminar on Numerical Analysis. Modelling and Simulation of Challenging Engineering Problems. Prague: Institute of Computer Science AS CR, 2010, s. 63-65. ISBN 978-80-87136-07-2.
[SNA ’10. Seminar on Numerical Analysis. Nové Hrady (CZ), 18.01.2010-22.01.2010]
R&D Projects: GA AV ČR KJB100300703
Institutional research plan: CEZ:AV0Z10300504
Keywords : Arnoldi method * Ritz values * interlacing property
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0187209File Download Size Commentary Version Access 0346099.pdf 16 176.3 KB Publisher’s postprint open-access - 8.0314348 - ÚI 2009 RIV NL eng J - Journal Article
Faber, V. - Liesen, J. - Tichý, Petr
On Orthogonal Reduction to Hessenberg Form with Small Bandwidth.
[O ortogonální redukci matice na pásovou Hessenbergovu matici.]
Numerical Algorithms. Roč. 51, č. 2 (2009), s. 133-142. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : reduction to Hessenberg form * Krylov subspace methods * Arnoldi method * Lanczos method
Subject RIV: BA - General Mathematics
Impact factor: 0.716, year: 2009
Permanent Link: http://hdl.handle.net/11104/0164882File Download Size Commentary Version Access 0314348.pdf 1 192.3 KB Author´s preprint open-access - 9.0312477 - ÚI 2009 RIV NL eng J - Journal Article
Strakoš, Zdeněk
Model Reduction using Vorobyev Moment Problem.
[Redukce modelu s použitím Vorobjevova problému momentů.]
Numerical Algorithms. Roč. 51, č. 3 (2009), s. 363-379. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : matching moments * model reduction * Krylov subspace methods * conjugate gradient method * Lanczos method * Arnoldi method * Gauss-Christoffel quadrature * scattering amplitude
Subject RIV: BA - General Mathematics
Impact factor: 0.716, year: 2009
Permanent Link: http://hdl.handle.net/11104/0163535