Polynomial and rational approximations and the link between Schröder's processes of the first and second kind
type: Item
instance of: scholarly article
title: Polynomial and rational approximations and the link between Schröder's processes of the first and second kind
zbMATH Open document ID: 1474.65138
DOI: 10.1155/2014/719846
author: F. Dubeau
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We show that Schröder's processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 7022942
Wikidata QID: Q59040888
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/719846
OpenAlex ID: W2135178276
cites work: A basic family of iteration functions for polynomial root finding and its characterizations
cites work: Q3543637
cites work: Q3069395
cites work: On Schröder's families of root-finding methods
cites work: Polynomial root-finding methods whose basins of attraction approximate Voronoi diagram
cites work: Q5732060
cites work: Q5820842
cites work: On types of convergence and on the behavior of approximations in the neighborhood of a multiple root of an equation
cites work: Computational complexity. On the geometry of polynomials and a theory of cost. I
cites work: On rediscovered iteration methods for solving equations
cites work: Newton's method and generation of a determinantal family of iteration functions
cites work: On Halley's Iteration Method
description: scientific article; zbMATH DE number 7022942