Improved local convergence analysis of inexact Newton-like methods under the majorant condition
Volume 42 / 2015
Applicationes Mathematicae 42 (2015), 343-357
MSC: 90C30, 65G99, 65K10, 47H17, 49M15.
DOI: 10.4064/am2240-11-2015
Published online: 25 November 2015
Abstract
We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations. Using more precise majorant conditions than in earlier studies, we provide: a larger radius of convergence; tighter error estimates on the distances involved; and a clearer relationship between the majorant function and the associated least squares problem. Moreover, these advantages are obtained under the same computational cost.
