Perturbative derivation and comparisons of root-finding algorithms with fourth order derivatives
type: Item
instance of: scholarly article
title: Perturbative derivation and comparisons of root-finding algorithms with fourth order derivatives
zbMATH Open document ID: 1142.65351
author: H. A. Yurtsever
author: Mehmet Pakdemirli
author: Hakan Boyacı
published in: Mathematical \& Computational Applications
publication date: 2008-09-12T00:00:00Z
review text: Summary: Perturbation theory is systematically used to generate root finding algorithms with fourth order derivatives. Depending on the number of correction terms in the perturbation expansion and the number of Taylor expansion terms, different root finding formulas can be generated. Expanding Taylor series up to fourth order derivatives and taking two, three and four correction terms in the perturbation expansions, three different root finding algorithms are derived. The algorithms are contrasted numerically with each other as well as with the Newton-Raphson algorithm. It is found that the quadruple-correction-term algorithm performs better than the others.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 5343647
MaRDI profile type: Publication
full work available at URL: mca12020117
OpenAlex ID: W2417247238
DOI: 10.3390/MCA12020117
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description: scientific article; zbMATH DE number 5343647