A note on the quadratic convergence of the inexact Newton methods

Authors

  • Emil Cătinaş Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords:

nonlinear systems of equations in \(R^n\), inexact Newton methods, inexact and perturbed Newton methods, convergence orders, backward errors

Abstract

We show that a new sufficient condition for the convergence with \(q\)-order two of the inexact Newton iterates may be obtained by considering the normwise backward error of the approximate steps and a result on perturbed Newton methods.
This condition is in fact equivalent to the characterization given by Dembo, Eisenstat and Steihaug.

Downloads

Published

2000-08-01

How to Cite

Cătinaş, E. (2000). A note on the quadratic convergence of the inexact Newton methods. Rev. Anal. Numér. ThéOr. Approx., 29(2), 129-133. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2000-vol29-no2-art2

Issue

Section

Articles