On the convergence of additive and multiplicative splitting iterations for systems of linear equations
文献类型：期刊论文
| 作者 | Bai, ZZ |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2003-05-01 |
| 卷号 | 154期号:1页码:195-214 |
| 关键词 | splitting iteration additive/multiplicative Schwarz methods Hermitian matrix commutative matrix diagonalizable matrix convergence property |
| ISSN号 | 0377-0427 |
| 英文摘要 | We study convergence conditions for the additive and the multiplicative splitting iteration methods, i.e., two generalizations of the additive and the multiplicative Schwarz iterations, for Hermitian and non-Hermitian systems of linear equations, under an algebraic setting. Theoretical analyses show that when the coefficient and the splitting matrices are Hermitian, or non-Hermitian but diagonalizable, satisfying mild conditions, both additive and multiplicative splitting iteration methods are convergent, even if the coefficient matrix is indefinite. (C) 2003 Elsevier Science B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000182460600012 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18247]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bai, ZZ |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sic, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, ZZ. On the convergence of additive and multiplicative splitting iterations for systems of linear equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2003,154(1):195-214. |
| APA | Bai, ZZ.(2003).On the convergence of additive and multiplicative splitting iterations for systems of linear equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,154(1),195-214. |
| MLA | Bai, ZZ."On the convergence of additive and multiplicative splitting iterations for systems of linear equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 154.1(2003):195-214. |
入库方式： OAI收割
来源：数学与系统科学研究院
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