On interval enclosures using slope arithmetic
type: Item
instance of: scholarly article
title: On interval enclosures using slope arithmetic
zbMATH Open document ID: 0708.65046
DOI: 10.1016/0096-3003(90)90124-L
published in: Applied Mathematics and Computation
publication date: 1990-01-01T00:00:00Z
review text: A second order interval slope arithmetic is developed, which continues the first order slope concept introduced by \textit{R. Krawczyk} and \textit{A. Neumaier} [SIAM J. Numer. Anal. 22, 604--616 (1985; Zbl 0572.65007)]. The aim of this arithmetic is to provide good include of the range of factorable functions. Numerical examples show the importance of this tool. A complete PASCAL-SC code is included in the paper.
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 4164036
zbMATH Keywords: second order interval slope arithmetic
zbMATH Keywords: include of the range of factorable functions
zbMATH Keywords: numerical examples
zbMATH Keywords: PASCAL-SC code
author: Zuhe Shen
author: Michael A. Wolfe
reviewed by: H. Ratschek
describes a project that uses: Pascal-SC
describes a project that uses: Alglib
MaRDI profile type: Publication
cites work: Q3345690
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full work available at URL: 0096-3003(90)90124-l
OpenAlex ID: W2094231719
description: scientific article; zbMATH DE number 4164036