Newton-Kantorovich type convergence theorem for a family of new deformed Chebyshev method
type: Item
instance of: scholarly article
title: Newton-Kantorovich type convergence theorem for a family of new deformed Chebyshev method
zbMATH Open document ID: 1193.65079
author: Yueqing Zhao
author: Qingbiao Wu
published in: Applied Mathematics and Computation
publication date: 2010-09-01T00:00:00Z
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 5777023
zbMATH Keywords: Newton-Kantorovich theorem
zbMATH Keywords: Banach space
zbMATH Keywords: nonlinear operator equation
zbMATH Keywords: deformed Chebyshev method
MaRDI profile type: Publication
full work available at URL: j.amc.2007.03.018
OpenAlex ID: W2057055587
cites work: Q5652137
cites work: A modified Newton method with cubic convergence: the multivariate case
cites work: A variant of Newton's method with accelerated third-order convergence
cites work: Some variant of Newton's method with third-order convergence.
cites work: On modified Newton methods with cubic convergence
cites work: Results on the Chebyshev method in banach spaces
cites work: Recurrence relations for rational cubic methods. II: The Chebyshev method
cites work: New recurrence relations for Chebyshev method
cites work: Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
cites work: A fast Chebyshev's method for quadratic equations.
cites work: A uniparametric Chebyshev-type method free from second derivatives
cites work: On a family of second-derivative-free variants of Chebyshev's method
cites work: Q5796755
cites work: Convergence of Newton's method and uniqueness of the solution of equations in Banach spaces. II
cites work: On the Newton-Kantorovich hypothesis for solving equations
cites work: On the comparison of a weak variant of the Newton--Kantorovich and Miranda theorems.
cites work: An acceleration of Newton's method: Super-Halley method
cites work: Chebyshev method and convexity
cites work: On \(q\)-Newton--Kantorovich method for solving systems of equations
cites work: Third-order convergence theorem by using majorizing function for a modified Newton method in Banach space
cites work: Estimates of majorizing sequences in the Newton-Kantorovich method: a further improvement
DOI: 10.1016/J.AMC.2007.03.018
description: scientific article; zbMATH DE number 5777023