Relationships among contour integral-based methods for solving generalized eigenvalue problems
- 论文类型：期刊论文
- 第一作者：Imakura, Akira
- 通讯作者：Imakura, A (reprint author), Univ Tsukuba, Grad Sch Syst & Informat Engn, 1-1-1 Tennodai, Tsukuba, Ibaraki 3058573, Japan.
- 合写作者：Du, Lei,Sakurai, Tetsuya
- 发表刊物：JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
- 收录刊物：SCIE、EI、Scopus
- 卷号：33
- 期号：3
- 页面范围：721-750
- ISSN号：0916-7005
- 关键字：Generalized eigenvalue problems; Contour integral-based eigensolvers; Projection methods
- 摘要：Recently, contour integral-based methods have been actively studied for solving interior eigenvalue problems that find all eigenvalues located in a certain region and their corresponding eigenvectors. In this paper, we reconsider the algorithms of the five typical contour integral-based eigensolvers from the viewpoint of projection methods, and then map the relationships among these methods. From the analysis, we conclude that all contour integral-based eigensolvers can be regarded as projection methods and can be categorized based on their subspace used, the type of projection and the problem to which they are applied implicitly.
- 发表时间：2016-12-01