Some modifications of the parallel Halley iteration method and their convergence
type: Item
instance of: scholarly article
title: Some modifications of the parallel Halley iteration method and their convergence
zbMATH Open document ID: 0589.65041
DOI: 10.1007/BF02253746
author: Deren Wang
author: Yujiang Wu
published in: Computing
publication date: 1987-01-01T00:00:00Z
review text: We derive five kinds of algorithms for simultaneously finding the zeros of a complex polynomial. The convergence and the convergence rate with higher order are obtained. The algorithms are numerically illustrated by an example of degree 10, and the numerical results are satisfactory.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 3947531
zbMATH Keywords: complex polynomial
zbMATH Keywords: zeros
zbMATH Keywords: parallel Halley iteration method
zbMATH Keywords: convergence order
zbMATH Keywords: numerical example
MaRDI profile type: Publication
cites work: On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots
cites work: Circular arithmetic and the determination of polynomial zeros
cites work: On the convergence order of a modified method for simultaneous finding polynomial zeros
cites work: Q3740920
description: scientific article; zbMATH DE number 3947531