The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations

doi:10.1080/03081087.2017.1329270

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	The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations
	Huang, Na 1,2,3; Ma, Chang-Feng 2,3
	2018
发表期刊	LINEAR & MULTILINEAR ALGEBRA
ISSN	0308-1087
卷号	66 期号:4 页码:827-839
摘要	In this paper, we consider the positive definite solution to the system of nonlinearmatrix equations X + A* Y-1A = In and Y + B* X-1B = In, where A, B. Cnxn are given matrices. We present a structurepreserving doubling algorithm and twomodified structure-preserving doubling algorithms to compute the positive definite solution of the system. We prove that the sequences generated by the algorithms converge to the positive definite solution of the system. Finally, some numerical examples are given to show the behaviour of the considered algorithms.
关键词	System of nonlinear matrix equations positive definite solution structure-preserving doubling algorithm convergence analysis numerical examples 65H10 65F10 15A24
DOI	10.1080/03081087.2017.1329270
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000428517600018
出版者	TAYLOR & FRANCIS 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/30095
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, Chang-Feng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing, Peoples R China 2.Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou, Fujian, Peoples R China 3.Fujian Normal Univ, FJKLMAA, Fuzhou, Fujian, Peoples R China
推荐引用方式 GB/T 7714	Huang, Na,Ma, Chang-Feng. The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations[J]. LINEAR & MULTILINEAR ALGEBRA,2018,66(4):827-839.
APA	Huang, Na,&Ma, Chang-Feng.(2018).The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations.LINEAR & MULTILINEAR ALGEBRA,66(4),827-839.
MLA	Huang, Na,et al."The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations".LINEAR & MULTILINEAR ALGEBRA 66.4(2018):827-839.