Taiwanese Journal of Mathematics


Ben-Shan Liao, Zhaojun Bai, Lie-Quan Lee, and Kwok Ko

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A nonlinear Rayleigh-Ritz iterative (NRRIT) method for solving nonlinear eigenvalue problems is studied in this paper. It is an extension of the nonlinear Arnoldi algorithm due to Heinrich Voss. The efficiency of the NRRIT method is demonstrated by comparing with the inverse iteration method to solve a highly nonlinear eigenvalue problem arising from finite element electromagnetic simulation in accelerator modeling.

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Taiwanese J. Math., Volume 14, Number 3A (2010), 869-883.

First available in Project Euclid: 18 July 2017

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Primary: 65F15: Eigenvalues, eigenvectors

nonlinear eigenvalue problem nonlinear Rayleigh-Ritz iterative method nonlinear Arnoldi accelerator modeling


Liao, Ben-Shan; Bai, Zhaojun; Lee, Lie-Quan; Ko, Kwok. NONLINEAR RAYLEIGH-RITZ ITERATIVE METHOD FOR SOLVING LARGE SCALE NONLINEAR EIGENVALUE PROBLEMS. Taiwanese J. Math. 14 (2010), no. 3A, 869--883. doi:10.11650/twjm/1500405872. https://projecteuclid.org/euclid.twjm/1500405872

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