Parallel multisplitting two-stage iterative methods with general weighting matrices for non-symmetric positive definite systems

Autor:	Chuan-Long Wang, Guo-Yan Meng
Rok vydání:	2013
Předmět:	Mathematical optimization Iterative method Applied Mathematics Scalar (mathematics) Non symmetric Linear system Applied mathematics Positive-definite matrix Mathematics Weighting
Zdroj:	Applied Mathematics Letters. 26:1065-1069
ISSN:	0893-9659
DOI:	10.1016/j.aml.2013.05.018
Popis:	In this work, we propose a new parallel multisplitting iterative method for non-symmetric positive definite linear systems. Based on optimization theory, the new method has two great improvements; one is that only one splitting needs to be convergent, and the other is that the weighting matrices are not scalar and nonnegative matrices. The convergence of the new parallel multisplitting iterative method is discussed. Finally, the numerical results show that the new method is effective.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8f145f981627b6cd44f7dd991329a4c4 https://doi.org/10.1016/j.aml.2013.05.018 Zobrazit plný text záznamu Full Text from ScienceDirect