On Hermitian positive definite solution of nonlinear matrix equation X plus A* X-2 A = Q
文献类型：期刊论文
| 作者 | Guo, XX |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2005-09-01 |
| 卷号 | 23期号:5页码:513-526 |
| 关键词 | nonlinear matrix equation Hermitian positive definite solution sensitivity analysis error bound |
| ISSN号 | 0254-9409 |
| 英文摘要 | Based on the fixed-point theory, we study the existence and the uniqueness of the maximal Hermitian positive definite solution of the nonlinear matrix equation X + A* X-2 A = Q, where Q is a square Hermitian positive definite matrix and A* is the conjugate transpose of the matrix A. We also demonstrate some essential properties and analyze the sensitivity of this solution. In addition, we derive computable error bounds about the approximations to the maximal Hermitian positive definite solution of the nonlinear matrix equation X + A* X-2 A = Q. At last, we further generalize these results to the nonlinear matrix equation X + A* X-n A = Q, where n >= 2 is a given positive integer. |
| 语种 | 英语 |
| WOS记录号 | WOS:000232012900006 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1041]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, XX |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, XX. On Hermitian positive definite solution of nonlinear matrix equation X plus A* X-2 A = Q[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2005,23(5):513-526. |
| APA | Guo, XX.(2005).On Hermitian positive definite solution of nonlinear matrix equation X plus A* X-2 A = Q.JOURNAL OF COMPUTATIONAL MATHEMATICS,23(5),513-526. |
| MLA | Guo, XX."On Hermitian positive definite solution of nonlinear matrix equation X plus A* X-2 A = Q".JOURNAL OF COMPUTATIONAL MATHEMATICS 23.5(2005):513-526. |
入库方式： OAI收割
来源：数学与系统科学研究院
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