# Affine invariant conditions for the inexact perturbed Newton method

## Abstract

The high q-convergence orders of the inexact Newton iterates were characterized by Ypma in terms of some affine invariant conditions. Using these results, we obtain affine invariant characterizations for the q-convergence orders of the inexact perturbed Newton iterates.

## Authors

Emil Cătinaş
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

## Keywords

inexact perturbed Newton methods; affine invariant conditions; q-convergence orders.

## Cite this paper as:

E. Cătinaş, Affine invariant conditions for the inexact perturbed Newton method, Rev. Anal. Numér. Théor. Approx., 31 (2002) no. 1, pp. 17-20.

Scanned paper.

1222-9024

2457-8126

1222-9024

2457-8126