A projection method for generalized eigenvalue problems using numerical integration

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 integrat...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 159; no. 1; pp. 119 - 128
Main Authors Sakurai, Tetsuya, Sugiura, Hiroshi
Format Journal Article Conference Proceeding
LanguageEnglish
Published Amsterdam Elsevier B.V 01.10.2003
Elsevier
Subjects
Exact sciences and technology
Generalized eigenvalue problem
Integral equations
Large scale problem
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations, boundary value problems
Quadrature method
Sciences and techniques of general use
Spectral projection
Generalized eigenvalue problem
Quadrature method
Spectral projection
Large scale problem
Weierstrass canonical form
Magnetohydrodynamics
Spectral method
Jordan canonical form
Numerical integration
Eigenvalue
Projection
Algorithm
Numerical approximation
Projection method
Quadrature
Matrix method
Eigenvalue problem
Large scale
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(03)00565-X