Comment on: ``On the Kung-Traub conjecture for iterative methods for solving quadratic equations''
type: Item
instance of: scholarly article
title: Comment on: ``On the Kung-Traub conjecture for iterative methods for solving quadratic equations''
zbMATH Open document ID: 1461.65071
author: Fayyaz Ahmad
published in: Algorithms
publication date: 2019-03-26T00:00:00Z
review text: Summary: Kung-Traub conjecture states that an iterative method without memory for finding the simple zero of a scalar equation could achieve convergence order \(2^{d-1}\), and \(d\) is the total number of function evaluations. In an article [Algorithms (Basel) 9, No. 1, Paper No. 1, 16 p. (2016; Zbl 1461.65074)], \textit{D. K. R. Babajee} has shown that Kung-Traub conjecture is not valid for the quadratic equation and proposed an iterative method for the scalar and vector quadratic equations. In this comment, we have shown that we first reported the aforementioned iterative method.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 7042339
zbMATH Keywords: Kung-Traub conjecture
zbMATH Keywords: system of quadratic equations
zbMATH Keywords: iterative methods
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a9020030
OpenAlex ID: W2345294764
Wikidata QID: Q123198923
cites work: On the Kung-Traub conjecture for iterative methods for solving quadratic equations
cites work: Q5732060
DOI: 10.3390/A9020030
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description: scientific article; zbMATH DE number 7042339