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

2008/07/24 by Ferreira, O. P., Goncalves, M. L. N. · 1 citation
#49M15 #90C30 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.0807.3903

Abstract

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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