Safe convergence of simultaneous methods for polynomial zeros
type: Item
instance of: scholarly article
title: Safe convergence of simultaneous methods for polynomial zeros
zbMATH Open document ID: 0908.65027
DOI: 10.1023/A:1016688508558
author: M. S. Petković
author: Snežana Ilić
author: Djordje Herceg
published in: Numerical Algorithms
publication date: 1999-01-26T00:00:00Z
review text: The authors present the point estimation theory for simultaneous iterative methods applied to polynomials with simple zeros. A convergence theorem is proved to serve as a basis for the safe convergence of the iterative methods discussed. Examples illustrate the theory and initial conditions (the polynomial coefficients, the order of the polynomial and the initial approximations for the zeros) enabling a safe convergence are stated.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 26C10
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 12Y05
zbMATH DE Number: 1204235
zbMATH Keywords: zeros of polynomials
zbMATH Keywords: safe initial values
zbMATH Keywords: simultaneous methods
zbMATH Keywords: order of convergence
zbMATH Keywords: point estimation
zbMATH Keywords: numerical examples
zbMATH Keywords: iterative methods
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: a:1016688508558
OpenAlex ID: W1622663103
description: scientific article; zbMATH DE number 1204235