Some modifications of Newton's method with higher-order convergence for solving nonlinear equations
type: Item
instance of: scholarly article
title: Some modifications of Newton's method with higher-order convergence for solving nonlinear equations
zbMATH Open document ID: 1168.65344
author: Liang Fang
author: Guoping He
published in: Journal of Computational and Applied Mathematics
publication date: 2009-05-28T00:00:00Z
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 5559056
zbMATH Keywords: nonlinear equations
zbMATH Keywords: Newton's method
zbMATH Keywords: iterative method
zbMATH Keywords: multi-step iterative method
zbMATH Keywords: order of convergence
describes a project that uses: LAPACK
describes a project that uses: NITSOL
describes a project that uses: LSODE
describes a project that uses: LINPACK
describes a project that uses: HOMPACK
describes a project that uses: KELLEY
describes a project that uses: PETSc
MaRDI profile type: Publication
full work available at URL: j.cam.2008.09.023
OpenAlex ID: W2019772791
cites work: Q5732060
cites work: Some higher-order modifications of Newton's method for solving nonlinear equations
cites work: A family of methods for solving nonlinear equations
cites work: Modified iterative methods with cubic convergence for solving nonlinear equations
cites work: The improvements of modified Newton's method
cites work: Q3343091
cites work: A cubically convergent Newton-type method under weak conditions
cites work: A modified Newton method for rootfinding with cubic convergence.
cites work: A composite third order Newton-Steffensen method for solving nonlinear equations
cites work: A variant of Cauchy's method with accelerated fifth-order convergence.
cites work: Some second-derivative-free variants of super-Halley method with fourth-order convergence
cites work: Q4060241
DOI: 10.1016/J.CAM.2008.09.023
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description: scientific article; zbMATH DE number 5559056