The constrained solutions of two matrix equations

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	The constrained solutions of two matrix equations
	Liao, AP ; Bai, ZZ
	2002-10-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	18 期号:4 页码:671-678
摘要	We study the symmetric positive semidefinite solution of the matrix equation AX(1)AT + BX2BT = C, where A is a given real m X n matrix, B is a given real m I p matrix, and C is a given real m X m matrix, with m, n, p positive integers; and the bisymmetric positive semidefinite solution of the matrix equation (DXD)-X-T = C, where D is a given real n I m matrix, C is a given real m I m matrix, with m, n positive integers. By making use of the generalized singular value decomposition, we derive general analytic formulae, and present necessary and sufficient conditions for guaranteeing the existence of these solutions.
关键词	matrix equation symmetric positive semidefinite matrix bisymmetric positive semidefinite matrix
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000179890400005
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17484
专题	中国科学院数学与系统科学研究院
通讯作者	Liao, AP
作者单位	1.Hunan Univ, Dept Math, Changsha 410082, Peoples R China 2.Changsha Univ, Dept Math & Informat Sci, Changsha 410003, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 4.Chinese Acad Sci, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liao, AP,Bai, ZZ. The constrained solutions of two matrix equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2002,18(4):671-678.
APA	Liao, AP,&Bai, ZZ.(2002).The constrained solutions of two matrix equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,18(4),671-678.
MLA	Liao, AP,et al."The constrained solutions of two matrix equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 18.4(2002):671-678.