Abstract
The Rayleigh-Ritz-type approach of the contour integral (CIRR) eigensolver is extended to be generally applicable to non-Hermitian systems. The CIRR method can extract only the eigenvalues in a given domain, which was previously formulated for non-degenerated Hermitian systems. In this method, the Ritz space for the domain is constructed by numerical evaluation of a contour integral. The effect of the numerical approximation is analyzed from the viewpoint of a filter operator, which supports the use of moderate approximations. The numerical accuracy of the original moment-based approach is also assured. A block version of the CIRR method is proposed with a detailed algorithm, which allows us to resolve degenerated systems.
Citation
Tsutomu Ikegami. Tetsuya Sakurai. "CONTOUR INTEGRAL EIGENSOLVER FOR NON-HERMITIAN SYSTEMS: A RAYLEIGH-RITZ-TYPE APPROACH." Taiwanese J. Math. 14 (3A) 825 - 837, 2010. https://doi.org/10.11650/twjm/1500405869
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