Blockwise matrix multi-splitting multi-parameter block relaxation methods

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	Blockwise matrix multi-splitting multi-parameter block relaxation methods
	Evans, DJ; Bai, ZZ
	1997
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	64 期号:1-2 页码:103-118
摘要	In this paper, a class of parallel blockwise matrix multisplitting block relaxation methods, including the blockwise matrix multisplitting block symmetric accelerated overrelaxation method, the blockwise matrix multisplitting block unsymmetric and symmetric successive overrelaxation methods and the blockwise matrix multisplitting block unsymmetric and symmetric Gauss-Seidel methods, etc., is established for the large sparse block system of linear equations, and its convergence theory is set up thorouthly when the coefficient matrix is a block H-matrix. Also, the new methods are further extended by relaxing different block elements of the iterations with different relaxation parameters and, therefore, general frameworks of parallel blockwise matrix multisplitting block relaxation methods for solving the block system of linear equations are naturally obtained.
关键词	block system of linear equations blockwise matrix multisplitting relaxation parallel method convergence block H-matrix
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1997XH37400008
出版者	GORDON BREACH SCI PUBL LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29031
专题	中国科学院数学与系统科学研究院
通讯作者	Evans, DJ
作者单位	CHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,STATE KEY LAB SCI ENGN COMP,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Evans, DJ,Bai, ZZ. Blockwise matrix multi-splitting multi-parameter block relaxation methods[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,1997,64(1-2):103-118.
APA	Evans, DJ,&Bai, ZZ.(1997).Blockwise matrix multi-splitting multi-parameter block relaxation methods.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,64(1-2),103-118.
MLA	Evans, DJ,et al."Blockwise matrix multi-splitting multi-parameter block relaxation methods".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 64.1-2(1997):103-118.