KMS Of Academy of mathematics and systems sciences, CAS
Study on semi-conjugate direction methods for non-symmetric systems | |
Dai, YH; Yuan, JY | |
2004-06-28 | |
发表期刊 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING |
ISSN | 0029-5981 |
卷号 | 60期号:8页码:1383-1399 |
摘要 | Some theoretical problems and implementation problems are studied here for the semi-conjugate direction method established by Yuan, Golub, Plemmons and Cecilio (2002). The existence of semi-conjugate directions is proved for almost all matrices except skew-symmetric matrices. A new technique is proposed to overcome the breakdown problem appeared in the semi-conjugate direction method. In the implementation of the semi-conjugate direction method, the generation of the semi-conjugate direction is very important and necessary, but very expensive. The technique of limited-memory is introduced to economize the cost of the generation of the semi-conjugate direction in the Yuan-Golub-Plemmons-Cecilio algorithm. Finally, some numerical experiments are given to confirm our theoretical results. Our results illustrate that the semi-conjugate direction method is very nice alternative for solving non-symmetric systems, and the limited-memory left conjugate direction method is a good improvement of the left conjugate direction method. Copyright (C) 2004 John Wiley Sons, Ltd. |
关键词 | non-singular matrix linear system semi-conjugate direction left conjugate direction left conjugate direction method left conjugate direction method existence breakdown limited-memory left conjugate direction method conjugate gradient method |
DOI | 10.1002/nme.983 |
语种 | 英语 |
WOS研究方向 | Engineering ; Mathematics |
WOS类目 | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000222323200004 |
出版者 | JOHN WILEY & SONS LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19281 |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Yuan, JY |
作者单位 | 1.Univ Fed Parana, Dept Matemat, Ctr Politecn, BR-81531990 Curitiba, Parana, Brazil 2.Chinese Acad Sci, Acad Math & Syst Sci, 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 | Dai, YH,Yuan, JY. Study on semi-conjugate direction methods for non-symmetric systems[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2004,60(8):1383-1399. |
APA | Dai, YH,&Yuan, JY.(2004).Study on semi-conjugate direction methods for non-symmetric systems.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,60(8),1383-1399. |
MLA | Dai, YH,et al."Study on semi-conjugate direction methods for non-symmetric systems".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 60.8(2004):1383-1399. |
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