Newton's method for the quadratic matrix equation

doi:10.1016/j.amc.2006.06.014

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	Newton's method for the quadratic matrix equation
	Gao, Yong-Hua
	2006-11-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	182 期号:2 页码:1772-1779
摘要	Under suitable condition, a quadratic matrix equation is equivalent to a nonlinear matrix equation. We apply Newton's method to the nonlinear matrix equation for computing the numerical solution of a class of quadratic matrix equations. Convergence theorems are derived and numerical results are also given. (c) 2006 Elsevier Inc. All rights reserved.
关键词	quadratic matrix equation nonlinear matrix equation iteration method Newton's method convergence theorem
DOI	10.1016/j.amc.2006.06.014
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000243202500081
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/2492
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, Yong-Hua
作者单位	Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Comp Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, Yong-Hua. Newton's method for the quadratic matrix equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,182(2):1772-1779.
APA	Gao, Yong-Hua.(2006).Newton's method for the quadratic matrix equation.APPLIED MATHEMATICS AND COMPUTATION,182(2),1772-1779.
MLA	Gao, Yong-Hua."Newton's method for the quadratic matrix equation".APPLIED MATHEMATICS AND COMPUTATION 182.2(2006):1772-1779.