Local convergence analysis of inexact Newton-like methods under majorant condition

Details Local convergence analysis of inexact Newton-like methods under majorant condition Local convergence analysis of inexact Newton-like methods under majorant condition

2008-07-24

arxiv.org/abs/0807.3903v1

Mathematics

Numerical Analysis

Scientific paper

We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations under majorant conditions. This analysis provides an estimate of the convergence radius and a clear relationship between the majorant function, which relaxes the Lipschitz continuity of the derivative, and the nonlinear operator under consideration. It also allow us to obtain some important special cases

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