Local Convergence of Exquerro-Hernandez Method-Reference-Cited by-同舟云学术

Local Convergence of Exquerro-Hernandez Method

Published:2016-07-01 Issue:1 Volume:54 Page:159-166
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Măruşter Ştefan¹

Affiliation:

1. Department of Computer Science, West University of Timisoara, B-l V. Parvan nr. 4, Timisoara, Romania

Abstract

Abstract Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed. Numerical experiments show that our procedure gives estimates which are very close to the maximum convergence radii.

Publisher

Walter de Gruyter GmbH

Reference8 articles.

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3. [3] M. A. Hernandez-Veron and N. Romero, On the Local Convergence of a Third Order Family of Iterative Processes, Algorithms, 8, (2015), 1121-1128

4. [4] G. Marino and H-K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl., 329, (2007), 336-346

5. [5] St. Maruster, Local convergence radius for the Mann-type iteration, Analele Universitatii de Vest, Timisoara Seria Matematica si Informatica, LIII, 2, (2015), 109-120

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