ON THE CONVERGENCE OF A CLASS OF PARALLEL DECOMPOSITION-TYPE RELAXATION METHODS

Authors
Citation
Zz. Bai et Yf. Su, ON THE CONVERGENCE OF A CLASS OF PARALLEL DECOMPOSITION-TYPE RELAXATION METHODS, Applied mathematics and computation, 81(1), 1997, pp. 1-21
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00963003
Volume
81
Issue
1
Year of publication
1997
Pages
1 - 21
Database
ISI
SICI code
0096-3003(1997)81:1<1:OTCOAC>2.0.ZU;2-X
Abstract
A class of parallel decomposition-type accelerated overrelaxation meth ods suitable to the SIMD-systems is established, and sufficient and (o r) necessary conditions ensuring its convergence are concluded when th e coefficient matrices of the linear systems of equations are respecti vely L-matrices, H-matrices, and symmetric positive definite matrices. (C) Elsevier Science Inc., 1997