An interval algorithm for bounding the ranges of real-valued functions of one real variable
type: Item
instance of: scholarly article
title: An interval algorithm for bounding the ranges of real-valued functions of one real variable
zbMATH Open document ID: 0878.65035
DOI: 10.1023/A:1009973905665
published in: Reliable Computing
publication date: 1997-11-21T00:00:00Z
review text: Given a function \(f:(c,d)\to\mathbb{R}^1\), \(f\in C^2(c,d)\), an algorithm described in this paper computes computationally rigorous bounds on the range of \(f\) over \([a,b]\subset (c,d)\). Numerical results for a FORTRAN 90 implementation are presented.
reviewed by: Jiří Rohn
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 1045480
zbMATH Keywords: interval algorithm
zbMATH Keywords: ranges of real-valued functions
zbMATH Keywords: interval arithmetic
zbMATH Keywords: numerical examples
zbMATH Keywords: rigorous bounds
author: Michael A. Wolfe
MaRDI profile type: Publication
full work available at URL: a:1009973905665
OpenAlex ID: W194582178
description: scientific article; zbMATH DE number 1045480