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论文类型：期刊论文
发表时间：2016-12-01
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.