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.

Authors

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

Keywords

nonlinear system of equations in Rn; inexact Newton method; residual; local convergence; forcing term; q-convergence order.

Cite this paper as:

E. Cătinaş, A note on the quadratic convergence of the inexact Newton methods, Rev. Anal. Numér. Théor. Approx., 29 (2000) no. 2, pp. 129-133.

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About this paper

Print ISSN

1222-9024

Online ISSN

2457-8126

MR

MR

Online ISSN

2457-8126

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