On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I
文献类型：期刊论文
| 作者 | Zhang, YH |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2003-10-01 |
| 卷号 | 372页码:295-304 |
| 关键词 | matrix equation positive definite solution iterative method |
| ISSN号 | 0024-3795 |
| DOI | 10.1016/S0024-3795(03)00530-5 |
| 英文摘要 | The Hermitian positive definite solutions of the matrix equation X + A*X(-2)A = I are studied. A necessary and sufficient condition for existence of solutions is given in case A is normal. The basic fixed point iterations for the equation in case A is normornial with parallel toAparallel to less than or equal to 2/3root3 are discussed in some detail. Some of Ivanov's, Hasanov's and Minchev's results in [Linear Algebra Appl. 326 (2001) 27] are improved. (C) 2003 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000185053300016 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18067]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, YH |
| 作者单位 | 1.Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, YH. On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2003,372:295-304. |
| APA | Zhang, YH.(2003).On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I.LINEAR ALGEBRA AND ITS APPLICATIONS,372,295-304. |
| MLA | Zhang, YH."On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I".LINEAR ALGEBRA AND ITS APPLICATIONS 372(2003):295-304. |
入库方式： OAI收割
来源：数学与系统科学研究院
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