On Halley iteration
type: Item
instance of: scholarly article
title: On Halley iteration
zbMATH Open document ID: 0922.65038
author: Qingchuan Yao
published in: Numerische Mathematik
publication date: 1999-10-10T00:00:00Z
review text: In contrast to the Newton iteration, the Halley iteration formula contains an additional term in the denominator which increases the order by 1. There is also a modification for multiple roots. The investigations center around an analogy to the Newton-Kantorovich theorem. Moreover, the modification for \(m\)-fold roots does not shoot over \(m\) zeros in the real case.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 26C10
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 1271908
zbMATH Keywords: Halley iteration
zbMATH Keywords: multiple roots
MaRDI profile type: Publication
full work available at URL: s002110050408
OpenAlex ID: W2080405568
DOI: 10.1007/S002110050408
Recommended article: On Halley's Iteration Method
Recommended article: Q3361811
Recommended article: Q4505787
Recommended article: Q4518737
Recommended article: On bilateral convergence of Halley's method
Recommended article: A note on Halley's method
Recommended article: On the \(R\)-order of the Halley method
Recommended article: Q4456230
Recommended article: On Halley-type iterations with free second derivative
description: scientific article; zbMATH DE number 1271908