Ranks of solutions of the linear matrix equation AX plus YB = C
文献类型：期刊论文
| 作者 | Yong Hui Liu |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2006-09-01 |
| 卷号 | 52期号:6-7页码:861-872 |
| 关键词 | matrix equation solvability condition general solution maximal rank minimal rank common solution generalized inverse matrix rank method |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2006.05.011 |
| 英文摘要 | For a consistent complex matrix equation AX + YB = C, we solve the following two problems: (1) the maximal and minimal ranks of a pair of solutions X and Y to AX + YB = C, and (2) the maximal and minimal ranks of four real matrices X-0, X-1, Y-0, and Y-1 in a pair of solutions X = X-0 + iX(1) and Y = Y-0 + iY(1) to AX + YB = C. We also give a necessary and sufficient condition for matrix equations A(i)X(i) + YiBi = C (i = 1, 2) to have common solutions. (c) 2006 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000243017700005 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3788]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yong Hui Liu |
| 作者单位 | 1.Shanghai Finance Univ, Dept Appl Math, Shanghai 201209, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yong Hui Liu. Ranks of solutions of the linear matrix equation AX plus YB = C[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2006,52(6-7):861-872. |
| APA | Yong Hui Liu.(2006).Ranks of solutions of the linear matrix equation AX plus YB = C.COMPUTERS & MATHEMATICS WITH APPLICATIONS,52(6-7),861-872. |
| MLA | Yong Hui Liu."Ranks of solutions of the linear matrix equation AX plus YB = C".COMPUTERS & MATHEMATICS WITH APPLICATIONS 52.6-7(2006):861-872. |
入库方式： OAI收割
来源：数学与系统科学研究院
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