Sequential and parallel synchronous alternating iterative methods

Please use this identifier to cite or link to this item:
Full metadata record
Full metadata record
DC FieldValueLanguage
dc.contributorCriptología y Seguridad Computacionales
dc.contributor.authorCliment, Joan-Josep-
dc.contributor.authorPerea Marco, Mari Carmen-
dc.contributor.authorTortosa, Leandro-
dc.contributor.authorZamora, Antonio-
dc.contributor.otherUniversidad de Alicante. Departamento de Estadística e Investigación Operativaes
dc.contributor.otherUniversidad de Alicante. Departamento de Ciencia de la Computación e Inteligencia Artificiales
dc.identifier.citationCLIMENT, Joan-Josep, et al. “Sequential and parallel synchronous alternating iterative methods”. Mathematics of Computation. Vol. 73, No. 246 (2003). ISSN 0025-5718, pp. 691-717es
dc.identifier.issn0025-5718 (Print)-
dc.identifier.issn1088-6842 (Online)-
dc.description.abstractThe so-called parallel multisplitting nonstationary iterative Model A was introduced by Bru, Elsner, and Neumann [Linear Algebra and its Applications 103:175-192 (1988)] for solving a nonsingular linear system Ax = b using a weak nonnegative multisplitting of the first type. In this paper new results are introduced when A is a monotone matrix using a weak nonnegative multisplitting of the second type and when A is a symmetric positive definite matrix using a P -regular multisplitting. Also, nonstationary alternating iterative methods are studied. Finally, combining Model A and alternating iterative methods, two new models of parallel multisplitting nonstationary iterations are introduced. When matrix A is monotone and the multisplittings are weak nonnegative of the first or of the second type, both models lead to convergent schemes. Also, when matrix A is symmetric positive definite and the multisplittings are P -regular, the schemes are also
dc.publisherAmerican Mathematical Societyes
dc.rightsFirst published in Math. Comp. 73 (2004), published by the American Mathematical
dc.subjectNonsingular matrixes
dc.subjectIterative methodes
dc.subjectSpectral radiuses
dc.subjectAlternating methodes
dc.subjectStationary methodes
dc.subjectNonstationary methodes
dc.subjectConvergence conditionses
dc.subjectComparison conditionses
dc.subject.otherCiencia de la Computación e Inteligencia Artificiales
dc.titleSequential and parallel synchronous alternating iterative methodses
Appears in Collections:INV - CSC - Artículos de Revistas
INV - GAG - Artículos de Revistas
INV - ANVIDA - Artículos de Revistas

Files in This Item:
Files in This Item:
File Description SizeFormat 
Thumbnail2003_Climent_etal_Mathematics_of_Computation.pdf287,74 kBAdobe PDFOpen Preview

Items in RUA are protected by copyright, with all rights reserved, unless otherwise indicated.