A numerical method for nonlinear eigenvalue problems using contour integrals

Author:

Asakura Junko1,Sakurai Tetsuya2,Tadano Hiroto2,Ikegami Tsutomu3,Kimura Kinji4

Affiliation:

1. Research and Development Division, Square Enix Co. Ltd.

2. Department of Computer Science, University of Tsukuba

3. Information Technology Research Institute, AIST

4. Graduate School of Informatics, Kyoto University

Publisher

The Japan Society for Industrial and Applied Mathematics

Reference6 articles.

1. [1] B. Liao, Subspace projection methods for model order reduction and nonlinear eigenvalue computation, PhD thesis, Department of mathematics, Univ. of California at Davis, 2007.

2. [2] E. Jarlebring, The spectrum of delay-differential equations: numerical methods, stability and perturbation, PhD thesis, Inst. Comp. Math, TU Braunschweig, 2008.

3. [3] T. Sakurai and H. Sugiura, A projection method for generalized eigenvalue problems, J. Comput. Appl. Math., 159 (2003) 119-128.

4. [4] J. Asakura, T. Sakurai, H. Tadano, T. Ikegami and K. Kimura, A numerical method for polynomial eigenvalue problems using contour integral, submitted.

5. [5] I. Gohberg and L. Rodman, Analytic matrix functions with prescribed local data, J. d'Analyse Mathématique, 40 (1981) 90-128.

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