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Block approximate inverse preconditioners for sparse nonsymmetric linear systems

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Block approximate inverse preconditioners for sparse nonsymmetric linear systems

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dc.contributor.author Cerdán Soriano, Juana Mercedes es_ES
dc.contributor.author Faraj El Guelei, Táher es_ES
dc.contributor.author Malla Martínez, Natalia es_ES
dc.contributor.author Marín Mateos-Aparicio, José es_ES
dc.contributor.author Mas Marí, José es_ES
dc.date.accessioned 2018-03-16T05:18:50Z
dc.date.available 2018-03-16T05:18:50Z
dc.date.issued 2010 es_ES
dc.identifier.issn 1068-9613 es_ES
dc.identifier.uri http://hdl.handle.net/10251/99451
dc.description.abstract [EN] In this paper block approximate inverse preconditioners to solve sparse nonsymmetric linear systems with iterative Krylov subspace methods are studied. The computation of the preconditioners involves consecutive updates of variable rank of an initial and nonsingular matrix A0 and the application of the Sherman-MorrisonWoodbury formula to compute an approximate inverse decomposition of the updated matrices. Therefore, they are generalizations of the preconditioner presented in Bru et al. [SIAM J. Sci. Comput., 25 (2003), pp. 701¿715]. The stability of the preconditioners is studied and it is shown that their computation is breakdown-free for H-matrices. To test the performance the results of numerical experiments obtained for a representative set of matrices are presented. es_ES
dc.language Inglés es_ES
dc.publisher KENT STATE UNIVERSITY, ETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, USA, OH, 44242-0001 es_ES
dc.relation.ispartof ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Approximate inverse preconditioners es_ES
dc.subject Variable rank updates es_ES
dc.subject Block algorithms es_ES
dc.subject Krylov iterative methods es_ES
dc.subject Sherman-Morrison-Woodbury formula es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Block approximate inverse preconditioners for sparse nonsymmetric linear systems es_ES
dc.type Artículo es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Cerdán Soriano, JM.; Faraj El Guelei, T.; Malla Martínez, N.; Marín Mateos-Aparicio, J.; Mas Marí, J. (2010). Block approximate inverse preconditioners for sparse nonsymmetric linear systems. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. 12(37):23-40. http://hdl.handle.net/10251/99451 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://etna.math.kent.edu/ es_ES
dc.description.upvformatpinicio 23 es_ES
dc.description.upvformatpfin 40 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 12 es_ES
dc.description.issue 37 es_ES
dc.relation.pasarela S\40822 es_ES


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