On two iteration methods for the quadratic matrix equations

	On two iteration methods for the quadratic matrix equations
	Bai, Zhong-Zhi; Guo, Xiao-Xia; Yin, Jun-Feng
	2005
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	2 页码:114-122
摘要	By simply transforming the quadratic matrix equation into an equivalent fixed-point equation, we construct a successive approximation method and a Newton's method based on this fixed-point equation. Under suitable conditions, we prove the local convergence of these two methods, as well as the linear convergence speed of the successive approximation method and the quadratic convergence speed of the Newton's method. Numerical results show that these new methods are accurate and effective when they are used to solve the quadratic matrix equation.
关键词	quadratic matrix equation iteration method convergence property
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000241068100010
出版者	ISCI-INSTITUTE SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2268
专题	计算数学与科学工程计算研究所
通讯作者	Bai, Zhong-Zhi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Guo, Xiao-Xia,Yin, Jun-Feng. On two iteration methods for the quadratic matrix equations[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2005,2:114-122.
APA	Bai, Zhong-Zhi,Guo, Xiao-Xia,&Yin, Jun-Feng.(2005).On two iteration methods for the quadratic matrix equations.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2,114-122.
MLA	Bai, Zhong-Zhi,et al."On two iteration methods for the quadratic matrix equations".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 2(2005):114-122.