Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems
文献类型：期刊论文
| 作者 | Krukier, Lev A.2; Martynova, Tatiana S.2; Bai, Zhong-Zhi1
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| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2009-10-01 |
| 卷号 | 232期号:1页码:3-16 |
| 关键词 | Hermitian and skew-Hermitian splitting Product-type skew-Hermitian triangular splitting Splitting iteration method Krylov subspace method Convergence theory |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2008.10.033 |
| 英文摘要 | By further generalizing the modified skew-Hermitian triangular splitting iteration methods studied in [L. Wang, Z.-Z. Bai, Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts, BIT Numer. Math. 44 (2004) 363-386], in this paper, we present a new iteration scheme, called the product-type skew-Hermitian triangular splitting iteration method, for solving the strongly non-Hermitian systems of linear equations with positive definite coefficient matrices. We discuss the convergence property and the optimal parameters of this method. Moreover, when it is applied to precondition the Krylov subspace methods, the preconditioning property of the product-type skew-Hermitian triangular splitting iteration is analyzed in detail. Numerical results show that the product-type skew-Hermitian triangular splitting iteration method can produce high-quality preconditioners for the Krylov subspace methods for solving large sparse positive definite systems of linear equations of strong skew-Hermitian parts. (C) 2008 Elsevier B.V. All rights reserved. |
| 资助项目 | RFBR, Russia[06-01-00038-a] ; RFBR, Russia[06-01-39002-GFEN-a] ; Special Funds For Major State Basic Research Projects[G1999032803] ; National Basic Research Program[2005CB321702] ; National Outstanding Young Scientist Foundation[10525102] ; National Natural Science Foundation[10471146] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000269424700002 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7804]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Bai, Zhong-Zhi |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.So Fed Univ, S Russian Reg Ctr Informatizat, Rostov Na Donu 344090, Russia |
| 推荐引用方式 GB/T 7714 | Krukier, Lev A.,Martynova, Tatiana S.,Bai, Zhong-Zhi. Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,232(1):3-16. |
| APA | Krukier, Lev A.,Martynova, Tatiana S.,&Bai, Zhong-Zhi.(2009).Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,232(1),3-16. |
| MLA | Krukier, Lev A.,et al."Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 232.1(2009):3-16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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