NAJul 24, 2008
Local convergence analysis of inexact Newton-like methods under majorant conditionO. P. Ferreira, M. L. N. Goncalves
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