Iterative functional equation \(x(x(t))= f(t)\) with \(f(t)\) piecewise linear
type: Item
instance of: scholarly article
title: Iterative functional equation \(x(x(t))= f(t)\) with \(f(t)\) piecewise linear
zbMATH Open document ID: 0945.65143
DOI: 10.1016/S0377-0427(99)00308-8
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2000-09-24T00:00:00Z
review text: The author offers qualitative properties and algorithms for determining iterative square roots (1/2-th iterates) of piecewise linear functions [for general theory of iterative roots see e.g. \textit{M. Kuczma, B. Choczewski} and \textit{R. Ger}, Cambridge University Press (1990; Zbl 0703.39005), chapter 11]. Iterative square roots of linear functions and of continuous functions consisting of two linear pieces get rather detailed treatment, those of functions consisting of more linear pieces are described more briefly.
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39B12
zbMATH DE Number: 1423327
zbMATH Keywords: piecewise linear functions
zbMATH Keywords: functional equation
zbMATH Keywords: iteration
zbMATH Keywords: algorithms
zbMATH Keywords: iterative functional equation
zbMATH Keywords: iterative square roots
reviewed by: János Aczél
MaRDI profile type: Publication
cites work: Q5566064
cites work: Q5592596
cites work: Q4040882
cites work: Q3974145
description: scientific article; zbMATH DE number 1423327