Some globally convergent iterative method based on the bisection iteration for solving nonlinear scalar equations
type: Item
instance of: scholarly article
title: Some globally convergent iterative method based on the bisection iteration for solving nonlinear scalar equations
zbMATH Open document ID: 0807.65052
DOI: 10.1016/0898-1221(94)00154-5
author: V. Pereyra
publication date: 1994-11-06T00:00:00Z
review text: A globally convergent iterative method for solving nonlinear scalar equations is presented. The method is a sort of acceleration technique for the bisection iteration. The rate of convergence of the method is proved to be superlinear, if the approximation is sufficiently close to the solution.
reviewed by: F. Zhang
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 681875
zbMATH Keywords: global convergence
zbMATH Keywords: convergence acceleration
zbMATH Keywords: superlinear convergence
zbMATH Keywords: bisection method
zbMATH Keywords: nonlinear scalar equations
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00154-5
OpenAlex ID: W2070932448
cites work: Q5657605
cites work: Q3925805
cites work: Bisection is optimal
cites work: Q4284585
cites work: Asymptotic expansions and acceleration of convergence for higher order iteration processes
cites work: Q5723445
cites work: Q3848301
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 681875