Nonstationary multisplittings with general weighting matrices
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http://hdl.handle.net/10045/2020
Title: | Nonstationary multisplittings with general weighting matrices |
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Authors: | Migallón, Violeta | Penadés, Jose | Szyld, Daniel B. |
Research Group/s: | Computación de Altas Prestaciones y Paralelismo |
Center, Department or Service: | Universidad de Alicante. Departamento de Ciencia de la Computación e Inteligencia Artificial |
Keywords: | Iterative methods | Linear systems | Symmetric positive definite matrices | Block methods | Parallel algorithms | Multisplitting | Two-stage | Nonstationary |
Knowledge Area: | Ciencia de la Computación e Inteligencia Artificial |
Issue Date: | 2001 |
Publisher: | Society for Industrial and Applied Mathematics |
Citation: | MIGALLÓN GOMIS, Violeta; PENADÉS MARTÍNEZ, José; SZYLD, Daniel B. "Nonstationary multisplittings with general weighting matrices". SIAM Journal on Matrix Analysis and Applications. Vol. 22, No. 4 (2000-2001). ISSN 0895-4798, pp. 1089-1094 |
Abstract: | In the convergence theory of multisplittings for symmetric positive definite (s.p.d.) matrices it is usually assumed that the weighting matrices are scalar matrices, i.e., multiples of the identity. In this paper, this restrictive condition is eliminated. In its place it is assumed that more than one (inner) iteration is performed in each processor (or block). The theory developed here is applied to nonstationary multisplittings for s.p.d. matrices, as well as to two-stage multisplittings for symmetric positive semidefinite matrices. |
Sponsor: | This research was supported by Spanish DGESIC grant PB98-0977 and by National Science Foundation grants INT-9521226 and DMS-9973219. |
URI: | http://hdl.handle.net/10045/2020 |
ISSN: | 0895-4798 |
DOI: | 10.1137/S0895479800367038 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | ©2001 Society for Industrial and Applied Mathematics |
Peer Review: | si |
Appears in Collections: | INV - gCAPyP - Artículos de Revistas Institucional - IUIEG - Publicaciones |
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