Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (2): 1-9.

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An Inexact Broyden Method for Nonlinear Equations

Wu Peiyu, Zhang Li   

  1. School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410004,China
  • Online:2016-06-30 Published:2020-09-29

Abstract: This paper introduces an inexact Broyden method for solving nonlinear equations,which is an extension of the method in[8].Under appropriate conditions,we prove that the proposed method converges globally and superlinearly.Numerical results are given to show its efficiency.

Key words: Nonlinear equations, Inexact Broyden method, Global convergence, Superlinear convergence