Weak-convergence theory of quasi-nonnegative splittings for singular matrices

doi:10.1016/S0168-9274(03)00057-6

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	Weak-convergence theory of quasi-nonnegative splittings for singular matrices
	Bai, ZZ ; Wang, L ; Yuan, JY
	2003-11-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	47 期号:2 页码:75-89
摘要	We discuss weak-convergence of the splitting methods for solving singular systems and introduce a new concept, that of the k-order quasi-nonnegative splitting. We provide equivalent formulations of this notion. Moreover, we investigate asymptotic and monotone convergence and comparison theorems for the k-order quasi-nonnegative splittings. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	singular system of linear equations k-order quasi-nonnegative splitting k-order weak-convergence monotone convergence convergence rate
DOI	10.1016/S0168-9274(03)00057-6
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186130500003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18744
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, JY
作者单位	1.Univ Fed Parana, Dept Math, Ctr Politecn, BR-81531990 Curitiba, Parana, Brazil 2.Chinese Acad Sci, Acad Math & Syst 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	Bai, ZZ,Wang, L,Yuan, JY. Weak-convergence theory of quasi-nonnegative splittings for singular matrices[J]. APPLIED NUMERICAL MATHEMATICS,2003,47(2):75-89.
APA	Bai, ZZ,Wang, L,&Yuan, JY.(2003).Weak-convergence theory of quasi-nonnegative splittings for singular matrices.APPLIED NUMERICAL MATHEMATICS,47(2),75-89.
MLA	Bai, ZZ,et al."Weak-convergence theory of quasi-nonnegative splittings for singular matrices".APPLIED NUMERICAL MATHEMATICS 47.2(2003):75-89.