中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
On two iteration methods for the quadratic matrix equations

文献类型:期刊论文

作者Bai, Zhong-Zhi; Guo, Xiao-Xia; Yin, Jun-Feng
刊名INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
出版日期2005
卷号2页码:114-122
关键词quadratic matrix equation iteration method convergence property
ISSN号1705-5105
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000241068100010
出版者ISCI-INSTITUTE SCIENTIFIC COMPUTING & INFORMATION
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/2267]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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