Nonlinear Rayleigh-ritz Iterative Method for Solving Large Scale Nonlinear Eigenvalue Problems

نویسندگان

  • Ben-Shan Liao
  • Zhaojun Bai
  • Lie-Quan Lee
  • Kwok Ko
چکیده

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 effienicy of the NRRIT method is demonstrated by comparing with inverse iteration methods to solve a highly nonlinear eigenvalue problem arising from finite element electromagnetic simulation in accelerator modeling.

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تاریخ انتشار 2010