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Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES
- 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
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