Optimal choice of linear interval extension
type: Item
instance of: scholarly article
title: Optimal choice of linear interval extension
zbMATH Open document ID: 0676.65040
DOI: 10.1016/0096-3003(89)90149-5
author: Renpu Ge
published in: Applied Mathematics and Computation
publication date: 1989-01-01T00:00:00Z
review text: To get more accurate interval extension is an important problem in interval analysis. It is known that the choice of the formula is very important for this aim. Examination of this topic can be found for instance in the book of \textit{H. Ratschek} and \textit{J. Rokne} [Computer methods for the range of functions (1984; Zbl 0584.65019)]. In this paper the optimal choice of linear interval extension \(F_ 1(x)=f(c)+f'(X)(X- c)\) is investigated by means of c. One only needs to calculate function values at two particular points to find the optimal interval extension.
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 4108030
zbMATH Keywords: interval analysis
zbMATH Keywords: linear interval extension
zbMATH Keywords: optimal interval extension
MaRDI profile type: Publication
full work available at URL: 0096-3003(89)90149-5
OpenAlex ID: W2071707387
cites work: Q5566070
cites work: Q3207999
cites work: Q3707258
cites work: Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie
Recommended article: Optimizing Linear Extensions
Recommended article: Optimal value range in interval linear programming
Recommended article: Linear optimization and extensions
Recommended article: On Optimal Solution of Interval Linear Equations
Recommended article: Q3341770
Recommended article: Q4387817
Recommended article: Q5698660
Recommended article: Interval choice under constraints on error functions
Recommended article: Enhanced-interval linear programming
Recommended article: On the concept of optimality interval
description: scientific article; zbMATH DE number 4108030