ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 29期号:2页码:185-198 |
| 关键词 | Continuous Sylvester equation HSS iteration method Inexact iteration Convergence |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1009-m3152 |
| 英文摘要 | We present a Hermitian and skew-Hermitian splitting (HSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semi-definite matrices. The unconditional convergence of the HSS iteration method is proved and an upper bound on the convergence rate is derived. Moreover, to reduce the computing cost, we establish an inexact variant of the HSS iteration method and analyze its convergence property in detail. Numerical results show that the HSS iteration method and its inexact variant are efficient and robust solvers for this class of continuous Sylvester equations. |
| 语种 | 英语 |
| WOS记录号 | WOS:000288688700004 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13148]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bai, Zhong-Zhi |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-Zhi. ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2011,29(2):185-198. |
| APA | Bai, Zhong-Zhi.(2011).ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,29(2),185-198. |
| MLA | Bai, Zhong-Zhi."ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 29.2(2011):185-198. |
入库方式： OAI收割
来源：数学与系统科学研究院
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