Finding the zeros of an analytic function
type: Item
instance of: scholarly article
title: Finding the zeros of an analytic function
zbMATH Open document ID: 0651.65043
DOI: 10.1016/0096-3003(88)90005-7
author: S. H. Smith
published in: Applied Mathematics and Computation
publication date: 1988-01-01T00:00:00Z
review text: The author describes a method for the computation of the zeros of a function f: \({\mathbb{R}}^ n\to {\mathbb{R}}^ n\). His main idea consists in solving the functional equation \(f(z(t))=(1-t)f(a),\) where z(t) denotes a path with \(z(0)=a\), via the initial value problem \(f'(z(t))\cdot \dot z(t)=-f(a),\) \(z(0)=a\). There is no numerical example.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 4062486
zbMATH Keywords: zeros of an analytic function
zbMATH Keywords: functional equation
zbMATH Keywords: initial value problem
zbMATH Keywords: no numerical example
reviewed by: Gerhard Merz
MaRDI profile type: Publication
full work available at URL: 0096-3003(88)90005-7
OpenAlex ID: W2051195014
cites work: Finding roots of equations in given neighborhoods
cites work: Engineering applications of the Chow-Yorke algorithm
description: scientific article; zbMATH DE number 4062486