On accelerating the convergence of the successive approximations method

In a previous paper of us, we have shown that no q-superlinear convergence to a fixed point \(x^\ast\) of a nonlinear mapping \(G\) may be attained by the successive approximations when \(G^\prime(x^\ast)\) has no eigenvalue equal to 0. However, high convergence orders may be attained if one consid...

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Bibliographic Details
Main Author: Emil Cătinaş
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2001-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/675