Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (4): 29-35.

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An Inexact Regularized Newton Method for Monotone and Nonlinear Equations and its Local Convergence

Li Weifei   

  1. School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410014,China
  • Online:2016-12-30 Published:2020-09-25

Abstract:

This paper presents an inexact regularized Newton method for monotone and nonlinear equations. Under relatively weak local error bound conditions,we show that the proposed method converges quadratically.This method is a generalization of the exact regularized Newton method proposed by Fan and Yuan[4].

Key words:

"> Monotone nonlinear equations, Inexact regularized Newton method, Local convergence