Author(s)

Y. Akyildiz, E. Popova & C. Ullrich

Abstract

We consider an algebraic completion of the conventional interval arithmetic, called here extended (directed) interval arithmetic, as suitable for embedding in computer algebra systems. An experimental Mathematica package for exten- ded interval arithmetic giving some extra functionality is presented. An advanced methodology for doing exact symbolic algebraic transformations on interval ex- pressions and some applications for the efficient solution of interval algebraic problems are outlined along with some open problems and implementation con- siderations. 1 Introduction Recently, there has been a considerable two-way traffic between numer- ical and symbolic computations. The usage of floating-point and interval arithmetic in inte

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