On the local convergence study for an efficient \(k\)-step iterative method
type: Item
instance of: scholarly article
title: On the local convergence study for an efficient \(k\)-step iterative method
zbMATH Open document ID: 1503.65115
author: Ioannis Konstantinos Argyros
author: Sergio Amat
author: S. Busquier
author: Miguel A. Hernández Verón
author: Eulalia Martínez
published in: Journal of Computational and Applied Mathematics
publication date: 2018-06-20T00:00:00Z
full work available at URL: http://hdl.handle.net/10251/146303
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47H20
zbMATH DE Number: 6892299
zbMATH Keywords: nonlinear equations
zbMATH Keywords: iterative methods
zbMATH Keywords: local convergence
zbMATH Keywords: order of convergence
zbMATH Keywords: efficiency
MaRDI profile type: Publication
OpenAlex ID: W2793414787
cites work: On two families of high order Newton type methods
cites work: Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications
cites work: Q5732060
cites work: A modified frozen Newton method to identify a cavity by means of boundary measurements
cites work: Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
cites work: On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
cites work: Newton's Method for a Class of Optimal Shape Design Problems
cites work: A simplified generalized Gauss-Newton method for nonlinear ill-posed problems
cites work: On an efficient \(k\)-step iterative method for nonlinear equations
cites work: Q5326192
cites work: The convergence of a one-step smoothing Newton method for \(P_0\)-NCP based on a new smoothing NCP-function
cites work: A parameterized multi-step Newton method for solving systems of nonlinear equations
cites work: On the election of the damped parameter of a two-step relaxed Newton-type method
cites work: Q4583236
cites work: Convergence analysis of a three step Newton-like method for nonlinear equations in Banach space under weak conditions
cites work: Local Convergence and the Dynamics of a Two-Step Newton-Like Method
cites work: Local convergence of a relaxed two-step Newton like method with applications
cites work: On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions
cites work: Multi-step modified Newton-HSS methods for systems of nonlinear equations with positive definite Jacobian matrices
cites work: Implicit extra-update multi-step quasi-Newton methods
cites work: Q3943431
cites work: Local convergence for some high convergence order Newton-like methods with frozen derivatives
cites work: Q4060241
Wikidata QID: Q130140436
DOI: 10.1016/J.CAM.2018.02.028
description: scientific article; zbMATH DE number 6892299