How to make Simpler GMRES and GCR more Stable

0310698 - ÚI 2010 RIV US eng J - Článek v odborném periodiku
Jiránek, P. - Rozložník, Miroslav - Gutknecht, M. H.
How to make Simpler GMRES and GCR more Stable.
[Jak stabilizovat metody Simpler GMRES and GCR?]
SIAM Journal on Matrix Analysis and Applications. Roč. 30, č. 4 (2008), s. 1483-1499. ISSN 0895-4798. E-ISSN 1095-7162
Grant CEP: GA MŠMT 1M0554; GA AV ČR IAA100300802; GA AV ČR IAA1030405
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: large-scale nonsymmetric linear systems * Krylov subspace methods * minimum residual methods * numerical stability * rounding errors
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.328, rok: 2008

Citováno: 11

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--- BOOJHAWON, R. - TANGMAN, D.Y. - DOOKHITRAM, K. - BHURUTH, M. Analysis of an Implicitly Restarted Simpler GMRES Variant of Augmented GMRES. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2010, PT 2, PROCEEDINGS. ISSN 0302-9743, 2010, vol. 6017, p. 570-585. [WOS]
--- NOTAY, Y. AN AGGREGATION-BASED ALGEBRAIC MULTIGRID METHOD. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. ISSN 1068-9613, 2010, vol. 37, p. 123-146. [WOS]
--- ZONG, Y.D. - WANG, L. Global simpler GMRES for nonsymmetric systems with multiple right-hand sides. APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, DEC 1 2014, vol. 248, p. 371-379. [WOS]
--- LIN, Y.Q. - BAO, L. - WU, Q.H. Simpler GMRES with deflated restarting. MATHEMATICS AND COMPUTERS IN SIMULATION. ISSN 0378-4754, JUL 2012, vol. 82, no. 11, p. 2238-2252. [WOS]
--- AIHARA, K. Variants of the groupwise update strategy for short-recurrence Krylov subspace methods. NUMERICAL ALGORITHMS. ISSN 1017-1398, JUN 2017, vol. 75, no. 2, SI, p. 397-412. [WOS]
--- JING, Y.F. - YUAN, P. - HUANG, T.Z. A simpler GMRES and its adaptive variant for shifted linear systems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, JAN 2017, vol. 24, no. 1. [WOS]
--- GU, X.M. - HUANG, T.Z. - CARPENTIERI, B. - LI, L. - WEN, C. A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. COMPUTERS & MATHEMATICS WITH APPLICATIONS. ISSN 0898-1221, DEC 2015, vol. 70, no. 12, p. 3019-3031. [WOS]
--- ZHONG, H.X. - WU, G. - CHEN, G.L. A flexible and adaptive simpler block GMRES with deflated restarting for linear systems with multiple right-hand sides. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, JUL 2015, vol. 282, p. 139-156. [WOS]
--- LIU, Q.H. - SHEN, D.M. - JIA, Z.W. Making global simpler GMRES more stable. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, DEC 2018, vol. 25, no. 6, SI. [WOS]
--- WU, Q.H. - BAO, L. - LIN, Y.Q. Residual-Based Simpler Block GMRES for Nonsymmetric Linear Systems with Multiple Right-Hand Sides. ADVANCES IN MATHEMATICAL PHYSICS. ISSN 1687-9120, 2018. [WOS]

Trvalý link: http://hdl.handle.net/11104/0162481