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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.