Convergence behaviour of inexact Newton methods-Reference-Cited by-同舟云学术

Convergence behaviour of inexact Newton methods

Published:1999-03-10 Issue:228 Volume:68 Page:1605-1613
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Morini Benedetta

Abstract

In this paper we investigate local convergence properties of inexact Newton and Newton-like methods for systems of nonlinear equations. Processes with modified relative residual control are considered, and new sufficient conditions for linear convergence in an arbitrary vector norm are provided. For a special case the results are affine invariant.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1999-68-228/S0025-5718-99-01135-7/S0025-5718-99-01135-7.pdf

Reference13 articles.

1. Prentice Hall Series in Computational Mathematics;Dennis, John E., Jr.,1983

2. Inexact Newton methods;Dembo, Ron S.;SIAM J. Numer. Anal.,1982

3. T. Steihaug, Quasi-Newton methods for large scale nonlinear problems, Ph.D. Thesis, School of Organization and Management, Yale University, 1981.

4. Inexact Newton methods for solving nonsmooth equations;Martínez, José Mario;J. Comput. Appl. Math.,1995

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