Third- and fifth-order Newton-Gauss methods for solving nonlinear equations with \(n\) variables
type: Item
instance of: scholarly article
title: Third- and fifth-order Newton-Gauss methods for solving nonlinear equations with \(n\) variables
zbMATH Open document ID: 1410.65189
author: Zhongli Liu
author: Quan Zheng
author: Chun-E Huang
published in: Applied Mathematics and Computation
publication date: 2019-03-21T00:00:00Z
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 7040341
zbMATH Keywords: nonlinear equations
zbMATH Keywords: Gauss quadrature formula
zbMATH Keywords: nonlinear odes
zbMATH Keywords: finite difference method
zbMATH Keywords: error equations
zbMATH Keywords: fifth-order convergence
MaRDI profile type: Publication
full work available at URL: j.amc.2016.06.010
OpenAlex ID: W2488231179
cites work: Q5652137
cites work: Q5732060
cites work: Solving Nonlinear Equations with Newton's Method
cites work: Third-order methods from quadrature formulae for solving systems of nonlinear equations.
cites work: Variants of Newton's method using fifth-order quadrature formulas
cites work: Some iterative methods for solving a system of nonlinear equations
cites work: Single step formulas and multi-step formulas of the integration method for solving the initial value problem of ordinary differential equation
cites work: A fourth-order method from quadrature formulae to solve systems of nonlinear equations
cites work: A third-order Newton-type method to solve systems of nonlinear equations
cites work: A modified Newton method with cubic convergence: the multivariate case
DOI: 10.1016/J.AMC.2016.06.010
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description: scientific article; zbMATH DE number 7040341