Extended interval Newton method based on the precise quotient set
type: Item
instance of: scholarly article
title: Extended interval Newton method based on the precise quotient set
zbMATH Open document ID: 1298.65087
author: Chin-Yun Chen
published in: Computing
publication date: 2011-11-07T00:00:00Z
review text: The author considers the extended interval Newton method. Adopting a recent definition of the extended interval division by Kulisch et al., some fundamental properties of the extended interval Newton method based on the so-called precise quotient set are proved. On this basis, an algorithm and a convenient program package are developed. The performance of the algorithm is demonstrated by several practical examples and shows that it can compute correct enclosures of all zeros of the functions with high efficiency, particularly in cases where other methods are less effective.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65G40
zbMATH DE Number: 5968778
zbMATH Keywords: extended interval division
zbMATH Keywords: Newton method
zbMATH Keywords: numerical algorithm
reviewed by: Liu Xinguo
describes a project that uses: C-XSC
describes a project that uses: C-XSC 2.0
MaRDI profile type: Publication
full work available at URL: s00607-011-0145-0
OpenAlex ID: W1967966724
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DOI: 10.1007/S00607-011-0145-0
description: scientific article; zbMATH DE number 5968778