Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations

doi:10.1002/nla.496

	Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
	Deng, Yuan-Bel; Bai, Zhong-Zhi; Gao, Yong-Hua
	2006-12-01
发表期刊	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
卷号	13 期号:10 页码:801-823
摘要	The consistent conditions and the general expressions about the Hermitian solutions of the linear matrix equations A X B = C and (A X, X B) = (C. D) are studied in depth, where A, B, C and D are given matrices of suitable sizes. The Hermitian minimum F-norm solutions are obtained for the matrix equations A X B = C and (A X, X B) = (C, D) by Moore-Penrose generalized inverse, respectively. For both matrix equations, we design iterative methods according to the fundamental idea of the classical conjugate direction method for the standard system of linear equations. Numerical results show that these iterative methods are feasible and effective in actual computations of the solutions of the above-mentioned two matrix equations. Copyright (C)c 2006 John Wiley & Sons, Ltd.
关键词	matrix equations Hermitian matrix generalized inverse iterative method
DOI	10.1002/nla.496
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000243034600001
出版者	JOHN WILEY & SONS 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/3706
专题	计算数学与科学工程计算研究所
通讯作者	Bai, Zhong-Zhi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Comp Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Deng, Yuan-Bel,Bai, Zhong-Zhi,Gao, Yong-Hua. Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2006,13(10):801-823.
APA	Deng, Yuan-Bel,Bai, Zhong-Zhi,&Gao, Yong-Hua.(2006).Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,13(10),801-823.
MLA	Deng, Yuan-Bel,et al."Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 13.10(2006):801-823.