A derivative-free algorithm for computing zeros of analytic functions
type: Item
instance of: scholarly article
title: A derivative-free algorithm for computing zeros of analytic functions
zbMATH Open document ID: 0940.65048
author: Marc van Barel
author: Peter Kravanja
published in: Computing
publication date: 2000-07-10T00:00:00Z
review text: The authors present an algorithm for computing all the zeros of analytic functions in a simply connected region in the complex plane. The algorithm requires only \(f\) and not its derivative \(f'\). The algorithm works for both simple and multiple zeros. The approximation for the zeros of \(f\) are accurate without using the initial approximation.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 1340519
zbMATH Keywords: zeros of analytic functions
zbMATH Keywords: quadrature method
zbMATH Keywords: derivative-free approach
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: algorithm
zbMATH Keywords: multiple zeros
reviewed by: Matthew He
describes a project that uses: ZEAL
MaRDI profile type: Publication
full work available at URL: s006070050051
OpenAlex ID: W2161323164
DOI: 10.1007/S006070050051
description: scientific article; zbMATH DE number 1340519