| A refined Jacobi-Davidson method and its correction equation | |
| Feng, SQ ; Jia, ZX | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | Jacobi-Davidson method refined Jacobi-Davidson method Ritz value Ritz vector refined eigenvector approximation correction equation Rayleigh quotient LARGE UNSYMMETRIC EIGENPROBLEMS LARGE MATRIX EIGENPROBLEMS EIGENVALUE PROBLEMS PROJECTION METHODS ARNOLDI PROCESS ALGORITHM SPARSE EIGENVECTORS Computer Science, Interdisciplinary Applications Mathematics, Applied |
| 中文摘要 | A central problem in the Jacobi-Davidson method is to expand a projection subspace by solving a certain correction equation. It has been commonly accepted that the correction equation always has a solution. However, it is proved in this paper that this is not true. Conditions are given to decide when it has a unique solution or many solutions or no solution. A refined Jacobi-Davidson method is proposed to overcome the possible nonconvergence of Ritz vectors by computing certain refined approximation eigenvectors from the subspace. A corresponding correction equation is derived for the refined method. Numerical experiments are conducted and efficiency of the refined method is confirmed. (c) 2005 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14164]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Feng, SQ,Jia, ZX. A refined Jacobi-Davidson method and its correction equation[J],2010, 2010. |
| APA | Feng, SQ,&Jia, ZX.(2010).A refined Jacobi-Davidson method and its correction equation.. |
| MLA | Feng, SQ,et al."A refined Jacobi-Davidson method and its correction equation".(2010). |
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