Inverse function, Taylor's expansion and extended Schröder's processes
type: Item
instance of: scholarly article
title: Inverse function, Taylor's expansion and extended Schröder's processes
zbMATH Open document ID: 1301.65033
DOI: 10.1080/00207160.2013.833611
author: F. Dubeau
author: Calvin Gnang
published in: International Journal of Computer Mathematics
publication date: 2014-10-14T00:00:00Z
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6355140
zbMATH Keywords: Schröder's process
zbMATH Keywords: inverse function
zbMATH Keywords: Taylor's expansion
zbMATH Keywords: high-order method
zbMATH Keywords: \(n\)th root
zbMATH Keywords: logarithm
zbMATH Keywords: arcsin
zbMATH Keywords: arctan
zbMATH Keywords: numerical examples
zbMATH Keywords: fixed-point iteration
zbMATH Keywords: nonlinear equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/00207160.2013.833611
OpenAlex ID: W2046275899
cites work: A Historical Survey of Solution by Functional Iteration
cites work: Algorithms for \(n\)-th root approximation.
cites work: Newton's method and high-order algorithms for the \(n\)th root computation
cites work: Q5604919
cites work: Accelerated Convergence in Newton’s Method
cites work: Calculus of \(n\)th roots and third order iterative methods.
cites work: High order algorithms for approximatingnth roots
cites work: Accelerated convergence in Newton's method for approximating square roots
cites work: An Iterative Method for Approximating Square Roots
cites work: On the order of convergence of a determinantal family of root-finding methods
cites work: High order iterative methods for approximating square roots
cites work: Q4002082
cites work: A Modified Babylonian Algorithm
cites work: New methods for approximating square roots
cites work: Q5732060
cites work: On two sequences of algorithms for approximating square roots
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description: scientific article; zbMATH DE number 6355140