Möbius splines are closed under continuous iteration
type: Item
instance of: scholarly article
title: Möbius splines are closed under continuous iteration
zbMATH Open document ID: 1017.65104
DOI: 10.1007/PL00012408
author: Richard J. Martin
published in: Aequationes Mathematicae
publication date: 2003-03-13T00:00:00Z
review text: The paper is devoted to explicit computational procedures for exactly computing the fractional iterates of a Möbius spline, i.e. a function that is monotonic, continuously differentiable and is piecewise homographic transformation. It is shown that the fractional iterate of a Möbius spline is itself a Möbius spline. A simple algorithm for computing composition and fractional iterates is suggested. There is some discussion of applying Möbius splines in numerical solution of functional equations.
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39B12
zbMATH DE Number: 1882111
zbMATH Keywords: Möbius functions
zbMATH Keywords: continuous iteration
zbMATH Keywords: fractional iterates
zbMATH Keywords: Möbius spline
zbMATH Keywords: algorithm
zbMATH Keywords: functional equations
reviewed by: V. V. Goryainov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1882111