中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
Study on semi-conjugate direction methods for non-symmetric systems

文献类型：期刊论文

作者Dai, YH; Yuan, JY
刊名INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
出版日期2004-06-28
卷号60期号:8页码:1383-1399
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
ISSN号0029-5981
DOI10.1002/nme.983
英文摘要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.
WOS研究方向Engineering ; Mathematics
语种英语
WOS记录号WOS:000222323200004
出版者JOHN WILEY & SONS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/19280]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。