Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640793 | Journal of Computational and Applied Mathematics | 2010 | 10 Pages |
Abstract
The Sakurai–Sugiura projection method, which solves generalized eigenvalue problems to find certain eigenvalues in a given domain, was reformulated by using the resolvent theory. A new interpretation based on filter diagonalization was given, and the corresponding filter function was derived explicitly. A block version of the method was also proposed, which enabled not only resolution of degenerated eigenvalues, but also an improvement in numerical accuracy. Three numerical examples were provided to illustrate the method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tsutomu Ikegami, Tetsuya Sakurai, Umpei Nagashima,