On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi1 ; Miao, Cun-Qiang
|
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2017-10-01 |
| 卷号 | 72页码:23-28 |
| 关键词 | Hermitian eigenproblem Jacobi-Davidson method Inexact iteration Standard Krylov subspace iteration Local convergence |
| ISSN号 | 0893-9659 |
| DOI | 10.1016/j.aml.2017.03.021 |
| 英文摘要 | For the Hermitian eigenproblems, under proper assumption on an initial approximation to the desired eigenvector, we prove local quadratic convergence of the inexact simplified Jacobi-Davidson method when the involved relaxed correction equation is solved by a standard Krylov subspace iteration, which particularly leads to local cubic convergence when the relaxed correction equation is solved to a prescribed precision proportional to the norm of the current residual. These results are valid for the interior as well as the extreme eigenpairs of the Hermitian eigenproblem and, hence, generalize the results by Bai and Miao (2017) from the extreme eigenpairs to the interior ones. (C) 2017 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation[11671393] ; National Natural Science Foundation for Creative Research Groups, PR China[11321061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000403126700004 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25599]  |
| 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, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-Zhi,Miao, Cun-Qiang. On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems[J]. APPLIED MATHEMATICS LETTERS,2017,72:23-28. |
| APA | Bai, Zhong-Zhi,&Miao, Cun-Qiang.(2017).On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems.APPLIED MATHEMATICS LETTERS,72,23-28. |
| MLA | Bai, Zhong-Zhi,et al."On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems".APPLIED MATHEMATICS LETTERS 72(2017):23-28. |
入库方式： OAI收割
来源：数学与系统科学研究院
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