On the monotone convergence of general Newton-like methods-Reference-Cited by-同舟云学术

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On the monotone convergence of general Newton-like methods

Published:1992-06 Issue:3 Volume:45 Page:489-502
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Argyros Ioannis K.,Szidarovszky Ferenc

Abstract

This paper examines conditions for the monotone convergence of general Newton-like methods generated by point-to-point mappings. The speed of convergence of such mappings is also examined.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. A lattice-theoretical fixpoint theorem and its applications

2. Monotone iterative methods for nonlinear operator equations∗)

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1. Bibliography;Studies in Computational Mathematics;2007

2. A Unified Approach for Solving Equations,Part I;Handbook of Analytic Computational Methods in Applied Mathematics;2000-06-27

3. Concerning the monotone convergence of the method of tangent hyperbolas;Korean Journal of Computational & Applied Mathematics;2000-05

4. CONVERGENCE RESULTS FOR A FAST ITERATIVE METHOD IN LINEAR SPACES;Taiwanese Journal of Mathematics;1999-09-01

5. Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications;Applied Mathematics and Computation;1999-07

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