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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.

NONLINEAR RAYLEIGH-RITZ ITERATIVE METHOD FOR SOLVING LARGE SCALE NONLINEAR EIGENVALUE PROBLEMS