Modified Bernoulli iteration methods for quadratic matrix equation
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi ; Gao, Yong-Hua
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2007-09-01 |
| 卷号 | 25期号:5页码:498-511 |
| 关键词 | quadratic matrix equation quadratic eigenvalue problem solvent Bernoulli's iteration Newton's method local convergence |
| ISSN号 | 0254-9409 |
| 英文摘要 | We construct a modified Bernoulli iteration method for solving the quadratic matrix equation AX(2) + BX + C = 0, where A, B and C are square matrices. This method is motivated from the Gauss-Seidel iteration for solving linear systems and the Sherman-Morrison-Woodbury formula for updating matrices. Under suitable conditions, we prove the local linear convergence of the new method. An algorithm is presented to find the solution of the quadratic matrix equation and some numerical results are given to show the feasibility and the effectiveness of the algorithm. In addition, we also describe and analyze the block version of the modified Bernoulli iteration method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000249440300002 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4988]  |
| 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, LSEC, ICMSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-Zhi,Gao, Yong-Hua. Modified Bernoulli iteration methods for quadratic matrix equation[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2007,25(5):498-511. |
| APA | Bai, Zhong-Zhi,&Gao, Yong-Hua.(2007).Modified Bernoulli iteration methods for quadratic matrix equation.JOURNAL OF COMPUTATIONAL MATHEMATICS,25(5),498-511. |
| MLA | Bai, Zhong-Zhi,et al."Modified Bernoulli iteration methods for quadratic matrix equation".JOURNAL OF COMPUTATIONAL MATHEMATICS 25.5(2007):498-511. |
入库方式： OAI收割
来源：数学与系统科学研究院
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