A class of simultaneous methods for the zeros of analytic functions
type: Item
instance of: scholarly article
title: A class of simultaneous methods for the zeros of analytic functions
zbMATH Open document ID: 0753.65041
DOI: 10.1016/0898-1221(91)90194-9
publication date: 1992-09-27T00:00:00Z
review text: Methods for simultaneously approximating simple zeros of analytic functions are presented. Their order of convergence is \(m+2\), where \(m\) is the order of the highest derivative of the analytic function appearing in the iterative formula. Attention is paid to the total-step and single- step methods with Newton and Halley corrections because of their high computational efficiency.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 65Y20
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 60618
zbMATH Keywords: iterative methods
zbMATH Keywords: total-step method
zbMATH Keywords: Newton correction
zbMATH Keywords: simple zeros of analytic functions
zbMATH Keywords: order of convergence
zbMATH Keywords: single-step methods
zbMATH Keywords: Halley corrections
zbMATH Keywords: computational efficiency
author: M. S. Petković
author: Z. M. Marjanović
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
full work available at URL: 0898-1221(91)90194-9
OpenAlex ID: W2093840507
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 60618