Self-verified extension of affine arithmetic to arbitrary order

  • Giuseppe Bilotta Università di Catania
Keywords: Interval arithmetic, Affine arithmetic, Dependency problem

Abstract

Affine Arithmetic (AA) is a self-verifying computational approach that keeps track of first-order correlation between uncertainties in the data and intermediate and final results.

In this paper we propose a higher-order extension satisfying the requirements of genericity, arbitrary-order and self-verification, comparing the resulting ethod with other well-known high-order extensions of AA.

Author Biography

Giuseppe Bilotta, Università di Catania
Dipartimento di Matematica
Università di Catania
Published
2008-08-06
Section
Articoli