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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