CSpace
 The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations Huang, Na1,2,3; Ma, Chang-Feng2,3 2018 Source Publication LINEAR & MULTILINEAR ALGEBRA ISSN 0308-1087 Volume 66Issue:4Pages:827-839 Abstract 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. Keyword 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 Language 英语 WOS Research Area Mathematics WOS Subject Mathematics WOS ID WOS:000428517600018 Publisher TAYLOR & FRANCIS LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/30095 Collection 中国科学院数学与系统科学研究院 Affiliation 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing, Peoples R China2.Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou, Fujian, Peoples R China3.Fujian Normal Univ, FJKLMAA, Fuzhou, Fujian, Peoples R China Recommended CitationGB/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.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Huang, Na]'s Articles [Ma, Chang-Feng]'s Articles Baidu academic Similar articles in Baidu academic [Huang, Na]'s Articles [Ma, Chang-Feng]'s Articles Bing Scholar Similar articles in Bing Scholar [Huang, Na]'s Articles [Ma, Chang-Feng]'s Articles Terms of Use No data! Social Bookmark/Share