Practical problems arising for finding roots of nonlinear equations
type: Item
instance of: scholarly article
title: Practical problems arising for finding roots of nonlinear equations
zbMATH Open document ID: 0619.65039
DOI: 10.1016/0168-9274(85)90005-4
author: Masao Igarashi
published in: Applied Numerical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Consider the numerical solutions of a nonlinear equation \(f(x)=0\). We apply Newton's and Newton's-like methods to solve the equation. First, we discuss the attainable correct digits for the approximated root. Second, we give a practical termination criterion and the method to estimate the accuracy of the obtained root. Some numerical examples are presented.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 4005462
zbMATH Keywords: Newton method
zbMATH Keywords: attainable correct digits
zbMATH Keywords: termination criterion
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: 0168-9274(85)90005-4
OpenAlex ID: W2089183680
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description: scientific article; zbMATH DE number 4005462