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JSIAM Letters
Vol. 1 (2009) P 52-55




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.

Copyright © 2009 The Japan Society for Industrial and Applied Mathematics

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