JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
Articles
A numerical method for nonlinear eigenvalue problems using contour integrals
Junko AsakuraTetsuya SakuraiHiroto TadanoTsutomu IkegamiKinji Kimura
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Volume 1 (2009) Pages 52-55

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Abstract

A contour integral method is proposed to solve nonlinear eigenvalue problems numerically. The target equation is $F(\lambda)\bm{x}=0$, where the matrix $F(\lambda)$ is an analytic matrix function of $\lambda$. The method can extract only the eigenvalues $\lambda$ in a domain defined by the integral path, by reducing the original problem to a linear eigenvalue problem that has identical eigenvalues in the domain. Theoretical aspects of the method are discussed, and we illustrate how to apply of the method with some numerical examples.

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© 2009 The Japan Society for Industrial and Applied Mathematics
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