Automatic Computation of a Linear Interval Enclosure

Automatic Computation of a Linear Interval Enclosure Recently, an alternative interval approximation F(X) for enclosing a factorable function f(x) in a given box X has been suggested. The enclosure is in the form of an affine interval function F(X)= $$\sum\limits_{i = 1}^n {}$$ a i X i +B where only the additive term B is an interval, the coefficients a i being real numbers. The approximation is applicable to continuously differentiable, continuous and even discontinuous functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Automatic Computation of a Linear Interval Enclosure

, Volume 7 (1) – Oct 3, 2004
12 pages

/lp/springer_journal/automatic-computation-of-a-linear-interval-enclosure-tfotWMggDd
Publisher
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1011470916953
Publisher site
See Article on Publisher Site

Abstract

Recently, an alternative interval approximation F(X) for enclosing a factorable function f(x) in a given box X has been suggested. The enclosure is in the form of an affine interval function F(X)= $$\sum\limits_{i = 1}^n {}$$ a i X i +B where only the additive term B is an interval, the coefficients a i being real numbers. The approximation is applicable to continuously differentiable, continuous and even discontinuous functions.

Journal

Reliable ComputingSpringer Journals

Published: Oct 3, 2004

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