Least-squares solution of AX B = D over symmetric positive semidefinite matrices X

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	Least-squares solution of AX B = D over symmetric positive semidefinite matrices X
	Liao, AP ; Bai, ZZ
	2003-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	21 期号:2 页码:175-182
摘要	Least-squares solution of AXB = D with respect to symmetric positive semidefinite matrix X is considered. By making use of the generalized singular value decomposition, we derive general analytic formulas, and present necessary and sufficient conditions for guaranteeing the existence of the solution. By applying MATLAB 5.2, we give some numerical examples to show the feasibility and accuracy of this construction technique in the finite precision arithmetic.
关键词	least-squares solution matrix equation symmetric positive semidefinite matrix generalized singular value decomposition
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000182174300007
出版者	VSP 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/18581
专题	中国科学院数学与系统科学研究院
作者单位	1.Changsha Univ, Dept Math & Informat Sci, Changsha 410003, Peoples R China 2.Hunan Univ, Dept Math, Changsha 410082, Peoples R China 3.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liao, AP,Bai, ZZ. Least-squares solution of AX B = D over symmetric positive semidefinite matrices X[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(2):175-182.
APA	Liao, AP,&Bai, ZZ.(2003).Least-squares solution of AX B = D over symmetric positive semidefinite matrices X.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(2),175-182.
MLA	Liao, AP,et al."Least-squares solution of AX B = D over symmetric positive semidefinite matrices X".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.2(2003):175-182.