On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I

doi:10.1016/S0024-3795(03)00530-5

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	*On Hermitian positive definite solutions of matrix equation X+AX(-2)A = I**
	Zhang, YH
	2003-10-01
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	372 页码:295-304
摘要	The Hermitian positive definite solutions of the matrix equation X + A*X(-2)A = I are studied. A necessary and sufficient condition for existence of solutions is given in case A is normal. The basic fixed point iterations for the equation in case A is normornial with parallel toAparallel to less than or equal to 2/3root3 are discussed in some detail. Some of Ivanov's, Hasanov's and Minchev's results in [Linear Algebra Appl. 326 (2001) 27] are improved. (C) 2003 Elsevier Inc. All rights reserved.
关键词	matrix equation positive definite solution iterative method
DOI	10.1016/S0024-3795(03)00530-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000185053300016
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18068
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YH
作者单位	1.Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YH. On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2003,372:295-304.
APA	Zhang, YH.(2003).On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I.LINEAR ALGEBRA AND ITS APPLICATIONS,372,295-304.
MLA	Zhang, YH."On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I".LINEAR ALGEBRA AND ITS APPLICATIONS 372(2003):295-304.