A Modified Newton Method for Nonlinear Eigenvalue Problems

Authors

  • Xiao-Ping Chen & Hua Dai

DOI:

https://doi.org/10.4208/eajam.100916.061117a

Keywords:

Nonlinear eigenvalue problem, smallest singular value, Newton method, quadratic convergence.

Abstract

A modification to the Newton method for nonlinear eigenvalue problems is proposed and locally quadratic convergence of this algorithm is established. Numerical examples show the efficiency of the method and reduced computational cost.

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Published

2018-09-17

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Issue

Vol. 8 No. 1 (2018)

Section

Articles