Solving nonlinear systems of equations with only one nonlinear variable
type: Item
instance of: scholarly article
title: Solving nonlinear systems of equations with only one nonlinear variable
zbMATH Open document ID: 0703.65029
DOI: 10.1016/0377-0427(90)90031-T
published in: Journal of Computational and Applied Mathematics
publication date: 1990-01-01T00:00:00Z
review text: A method for solving systems of \(N+1\) equations in \(N+1\) unknowns \(y\in R\) and \(z\in R^ N\) of the form \(A(y)z+b(y)=0,\) where the \((N+1)\times N\) matrix A(y) and the vector b(y) are functions of y alone is presented. The problem is reduced to one equation in y only which is solved by Newton's method. Numerical experiments and two generalizations are discussed.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 4153787
zbMATH Keywords: one nonlinear variable
zbMATH Keywords: Newton's method
zbMATH Keywords: Numerical experiments
author: Yun-Qiu Shen
author: Tjalling J. Ypma
reviewed by: Violeta A. Kostova
MaRDI profile type: Publication
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full work available at URL: 0377-0427(90)90031-t
OpenAlex ID: W2063576047
description: scientific article; zbMATH DE number 4153787