Sequential and parallel synchronous alternating iterative methods
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http://hdl.handle.net/10045/25282
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DC Field | Value | Language |
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dc.contributor | Criptología y Seguridad Computacional | es |
dc.contributor.author | Climent, Joan-Josep | - |
dc.contributor.author | Perea Marco, Mari Carmen | - |
dc.contributor.author | Tortosa, Leandro | - |
dc.contributor.author | Zamora, Antonio | - |
dc.contributor.other | Universidad de Alicante. Departamento de Estadística e Investigación Operativa | es |
dc.contributor.other | Universidad de Alicante. Departamento de Ciencia de la Computación e Inteligencia Artificial | es |
dc.date.accessioned | 2012-11-23T09:11:15Z | - |
dc.date.available | 2012-11-23T09:11:15Z | - |
dc.date.issued | 2003-11-24 | - |
dc.identifier.citation | CLIMENT, Joan-Josep, et al. “Sequential and parallel synchronous alternating iterative methods”. Mathematics of Computation. Vol. 73, No. 246 (2003). ISSN 0025-5718, pp. 691-717 | es |
dc.identifier.issn | 0025-5718 (Print) | - |
dc.identifier.issn | 1088-6842 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/25282 | - |
dc.description.abstract | The 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 convergent. | es |
dc.language | eng | es |
dc.publisher | American Mathematical Society | es |
dc.rights | First published in Math. Comp. 73 (2004), published by the American Mathematical Society. | es |
dc.subject | Nonsingular matrix | es |
dc.subject | Iterative method | es |
dc.subject | Spectral radius | es |
dc.subject | Splitting | es |
dc.subject | Multisplitting | es |
dc.subject | Alternating method | es |
dc.subject | Stationary method | es |
dc.subject | Nonstationary method | es |
dc.subject | Convergence conditions | es |
dc.subject | Comparison conditions | es |
dc.subject.other | Álgebra | es |
dc.subject.other | Ciencia de la Computación e Inteligencia Artificial | es |
dc.title | Sequential and parallel synchronous alternating iterative methods | es |
dc.type | info:eu-repo/semantics/article | es |
dc.peerreviewed | si | es |
dc.identifier.doi | 10.1090/S0025-5718-03-01607-7 | - |
dc.relation.publisherversion | http://dx.doi.org/10.1090/S0025-5718-03-01607-7 | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
Appears in Collections: | INV - CSC - Artículos de Revistas INV - GAG - Artículos de Revistas INV - ANVIDA - Artículos de Revistas |
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File | Description | Size | Format | |
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2003_Climent_etal_Mathematics_of_Computation.pdf | 287,74 kB | Adobe PDF | Open Preview | |
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