The constrained solutions of two matrix equations
文献类型：期刊论文
| 作者 | Liao, AP; Bai, ZZ |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2002-10-01 |
| 卷号 | 18期号:4页码:671-678 |
| 关键词 | matrix equation symmetric positive semidefinite matrix bisymmetric positive semidefinite matrix |
| ISSN号 | 1439-8516 |
| 英文摘要 | We study the symmetric positive semidefinite solution of the matrix equation AX(1)AT + BX2BT = C, where A is a given real m X n matrix, B is a given real m I p matrix, and C is a given real m X m matrix, with m, n, p positive integers; and the bisymmetric positive semidefinite solution of the matrix equation (DXD)-X-T = C, where D is a given real n I m matrix, C is a given real m I m matrix, with m, n positive integers. By making use of the generalized singular value decomposition, we derive general analytic formulae, and present necessary and sufficient conditions for guaranteeing the existence of these solutions. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179890400005 |
| 出版者 | SPRINGER-VERLAG BERLIN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17483]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liao, AP |
| 作者单位 | 1.Hunan Univ, Dept Math, Changsha 410082, Peoples R China 2.Changsha Univ, Dept Math & Informat Sci, Changsha 410003, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 4.Chinese Acad Sci, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liao, AP,Bai, ZZ. The constrained solutions of two matrix equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2002,18(4):671-678. |
| APA | Liao, AP,&Bai, ZZ.(2002).The constrained solutions of two matrix equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,18(4),671-678. |
| MLA | Liao, AP,et al."The constrained solutions of two matrix equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 18.4(2002):671-678. |
入库方式： OAI收割
来源：数学与系统科学研究院
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