Methods of semiconjugate directions
Methods of iterative solution in Krylov subspaces are considered for systems of linear algebraic equations with positive definite nonsymmetric real matrices A, where directing (correcting) vectors and residual vectors possess different properties of A-semiconjugacy or orthogonality. Variational and...
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| Published in | Russian journal of numerical analysis and mathematical modelling Vol. 23; no. 4; pp. 369 - 387 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Walter de Gruyter GmbH & Co. KG
01.08.2008
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| Online Access | Get full text |
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| Summary: | Methods of iterative solution in Krylov subspaces are considered for systems of linear algebraic equations with positive definite nonsymmetric real matrices A, where directing (correcting) vectors and residual vectors possess different properties of A-semiconjugacy or orthogonality. Variational and projective properties of some variants of such algorithms and the possibility to use dynamic preconditioners are described. Results of numerical experiments are presented. |
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| Bibliography: | istex:8EA062D2C3E0CF8D87366439887A143570B15C7B ArticleID:RNAM.23.4.369 rjnamm.2008.022.pdf ark:/67375/QT4-SK7V2V62-X ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0927-6467 1569-3988 |
| DOI: | 10.1515/RJNAMM.2008.022 |