A projection method for generalized eigenvalue problems using numerical integration

Authors:
Tetsuya Sakurai;Hiroshi Sugiura
Affiliations:
Institute of Information Sciences and Electronics, University of Tsukuba, Tsukuba 305-8573, Japan;Graduate School of Engineering, Nagoya University, Nagoya 464-8603, Japan
Venue:
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002
Year:
2003

Citing 7
Cited 7

BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems

SIAM Journal on Scientific and Statistical Computing
A Jacobi--Davidson Iteration Method for Linear EigenvalueProblems

SIAM Journal on Matrix Analysis and Applications
Matrix computations (3rd ed.)

Matrix computations (3rd ed.)
The symmetric eigenvalue problem

The symmetric eigenvalue problem
Using implicitly filtered RKS for generalised eigenvalue problems

Journal of Computational and Applied Mathematics
Eigenvalue computation in the 20th century

Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
An error analysis of two related quadrature methods for computing zeros of analytic functions

Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics

A parallel method for large sparse generalized eigenvalue problems using a GridRPC system

Future Generation Computer Systems
A method for finding zeros of polynomial equations using a contour integral based eigensolver

Proceedings of the 2009 conference on Symbolic numeric computation
A filter diagonalization for generalized eigenvalue problems based on the Sakurai-Sugiura projection method

Journal of Computational and Applied Mathematics
A master-worker type eigensolver for molecular orbital computations

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
A parallel method for large sparse generalized eigenvalue problems by OmniRPC in a grid environment

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
A hybrid parallel method for large sparse eigenvalue problems on a grid computing environment using Ninf-G/MPI

LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Dissecting the FEAST algorithm for generalized eigenproblems

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we propose a method for finding certain eigenvalues of a generalized eigenvalue problem that lie in a given domain of the complex plane. The proposed method projects the matrix pencil onto a subspace associated with the eigenvalues that are located in the domain via numerical integration.