A Filtered-Davidson Method for Large Symmetric Eigenvalue Problems
文献类型：期刊论文
| 作者 | Miao, Cun-Qiang |
| 刊名 | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 7期号:1页码:21-37 |
| 关键词 | Symmetric eigenproblem filtering technique Chebyshev polynomials Krylov subspace Davidson-type method |
| ISSN号 | 2079-7362 |
| DOI | 10.4208/eajam.160816.131016a |
| 英文摘要 | For symmetric eigenvalue problems, we constructed a three-term recurrence polynomial filter by means of Chebyshev polynomials. The new filtering technique does not need to solve linear systems and only needs matrix-vector products. It is a memory conserving filtering technique for its three-term recurrence relation. As an application, we use this filtering strategy to the Davidson method and propose the filtered-Davidson method. Through choosing suitable shifts, this method can gain cubic convergence rate locally. Theory and numerical experiments show the efficiency of the new filtering technique. |
| 语种 | 英语 |
| WOS记录号 | WOS:000395402400002 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25055]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Miao, Cun-Qiang |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Miao, Cun-Qiang. A Filtered-Davidson Method for Large Symmetric Eigenvalue Problems[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2017,7(1):21-37. |
| APA | Miao, Cun-Qiang.(2017).A Filtered-Davidson Method for Large Symmetric Eigenvalue Problems.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,7(1),21-37. |
| MLA | Miao, Cun-Qiang."A Filtered-Davidson Method for Large Symmetric Eigenvalue Problems".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 7.1(2017):21-37. |
入库方式： OAI收割
来源：数学与系统科学研究院
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