Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
文献类型：期刊论文
| 作者 | Deng, Yuan-Bel; Bai, Zhong-Zhi ; Gao, Yong-Hua
|
| 刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 2006-12-01 |
| 卷号 | 13期号:10页码:801-823 |
| 关键词 | matrix equations Hermitian matrix generalized inverse iterative method |
| ISSN号 | 1070-5325 |
| DOI | 10.1002/nla.496 |
| 英文摘要 | The consistent conditions and the general expressions about the Hermitian solutions of the linear matrix equations A X B = C and (A X, X B) = (C. D) are studied in depth, where A, B, C and D are given matrices of suitable sizes. The Hermitian minimum F-norm solutions are obtained for the matrix equations A X B = C and (A X, X B) = (C, D) by Moore-Penrose generalized inverse, respectively. For both matrix equations, we design iterative methods according to the fundamental idea of the classical conjugate direction method for the standard system of linear equations. Numerical results show that these iterative methods are feasible and effective in actual computations of the solutions of the above-mentioned two matrix equations. Copyright (C)c 2006 John Wiley & Sons, Ltd. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000243034600001 |
| 出版者 | JOHN WILEY & SONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3705]  |
| 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 Comp Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Deng, Yuan-Bel,Bai, Zhong-Zhi,Gao, Yong-Hua. Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2006,13(10):801-823. |
| APA | Deng, Yuan-Bel,Bai, Zhong-Zhi,&Gao, Yong-Hua.(2006).Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,13(10),801-823. |
| MLA | Deng, Yuan-Bel,et al."Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 13.10(2006):801-823. |
入库方式： OAI收割
来源：数学与系统科学研究院
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