A regularized conjugate gradient method for symmetric positive definite system of linear equations
文献类型:期刊论文
作者 | Bai, ZZ; Zhang, SL |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
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出版日期 | 2002-07-01 |
卷号 | 20期号:4页码:437-448 |
关键词 | conjugate gradient method symmetric positive definite matrix regularization ill-conditioned linear system |
ISSN号 | 0254-9409 |
英文摘要 | A class of regularized conjugate gradient methods is presented for solving the large sparse system of linear equations of which the coefficient matrix is an ill-conditioned symmetric positive definite matrix. The convergence properties of these methods are discussed in depth, and the best possible choices of the parameters involved in the new methods are investigated in detail. Numerical computations show that the new methods are more efficient and robust than both classical relaxation methods and classical conjugate direction methods. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000176845100009 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17058] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Univ Tokyo, Dept Appl Phys, Tokyo 1138656, Japan |
推荐引用方式 GB/T 7714 | Bai, ZZ,Zhang, SL. A regularized conjugate gradient method for symmetric positive definite system of linear equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2002,20(4):437-448. |
APA | Bai, ZZ,&Zhang, SL.(2002).A regularized conjugate gradient method for symmetric positive definite system of linear equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,20(4),437-448. |
MLA | Bai, ZZ,et al."A regularized conjugate gradient method for symmetric positive definite system of linear equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 20.4(2002):437-448. |
入库方式: OAI收割
来源:数学与系统科学研究院
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