On solutions of matrix equation AX A(T) + BY B-T=C

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	On solutions of matrix equation AX A(T) + BY B-T=C
	Deng, YB ; Hu, XY
	2005
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	23 期号:1 页码:17-26
摘要	By making use of the quotient singular value decomposition (QSVD) of a matrix pair, this paper establishes the necessary and sufficient conditions for the existence of and the expressions for the general solutions of the linear matrix equation AX A(T) + BY B-T = C with the unknown X and Y, which may be both symmetric, skew-symmetric, nonnegative definite, positive definite or some cross combinations respectively. Also, the solutions of some optimal problems are derived.
关键词	matrix equation matrix norm QSVD constrained condition optimal problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000227903500002
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/1123
专题	中国科学院数学与系统科学研究院
通讯作者	Deng, YB
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China 2.Hunan Univ, Coll Math & Econometr, Changsha 410082, Peoples R China
推荐引用方式 GB/T 7714	Deng, YB,Hu, XY. On solutions of matrix equation AX A(T) + BY B-T=C[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2005,23(1):17-26.
APA	Deng, YB,&Hu, XY.(2005).On solutions of matrix equation AX A(T) + BY B-T=C.JOURNAL OF COMPUTATIONAL MATHEMATICS,23(1),17-26.
MLA	Deng, YB,et al."On solutions of matrix equation AX A(T) + BY B-T=C".JOURNAL OF COMPUTATIONAL MATHEMATICS 23.1(2005):17-26.