New uni-parametric family of multipoint methods with memory for systems of nonlinear equations
type: Item
instance of: scholarly article
title: New uni-parametric family of multipoint methods with memory for systems of nonlinear equations
zbMATH Open document ID: 1384.65031
author: Mona Narang
author: Saurabh Bhatia
author: V. Kanwar
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2018-02-15T00:00:00Z
review text: Following an effective method (Mc Dougall and Wotherspoon) for solving a scalar nonlinear equation, the authors propose a new uni-parametric family of multipoint methods with memory for solving systems of nonlinear equations and further extended using the weight function approach. Precise analysis for \(R\)-order of convergence of the explored iterative algorithms is conducted. Numerical experiments show that, on some constraints, the results are better than some of the widely covered and used in practice methods of numerical analysis.
reviewed by: Nikolay Kyurkchiev
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 6839227
zbMATH Keywords: system of nonlinear equations
zbMATH Keywords: \(R\)-order of convergence
zbMATH Keywords: Newton's method
zbMATH Keywords: multipoint methods
zbMATH Keywords: computational efficiency
zbMATH Keywords: iterative algorithm
zbMATH Keywords: numerical experiment
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: s40324-016-0082-0
OpenAlex ID: W2338869834
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DOI: 10.1007/S40324-016-0082-0
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description: scientific article; zbMATH DE number 6839227