Newton's method for the quadratic matrix equation
文献类型：期刊论文
| 作者 | Gao, Yong-Hua |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2006-11-15 |
| 卷号 | 182期号:2页码:1772-1779 |
| 关键词 | quadratic matrix equation nonlinear matrix equation iteration method Newton's method convergence theorem |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.06.014 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000243202500081 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2491]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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