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杜磊 副教授

2006年本科毕业于大连理工大学数学与应用数学专业,2008年硕士毕业于大连理工大学计算数学专业(导师:于波 教授),2011年博士毕业于日本名古屋大学计算理工学专攻,获博士(工学)学位(导师:张绍良 教授)。后在筑波大学计算机科学专攻从事博士后研究工作(日本技术振兴机构CREST项目资助,合作导师:Prof. SAKURAI Tetsuya)。2014年回国任职于大连理工大学数学科学学院。主要研究内容包括:大型稀疏线性方程组求解、矩阵特征值计算、高性能科学计算等。

论文成果 主页 > 科学研究 > 论文成果

Relationships among contour integral-based methods for solving generalized eigenvalue problems

发布时间: 2019-03-12 点击次数:

  • 论文类型:期刊论文
  • 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