30 August 2014
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Paper Information

Towards a More Complete Interval Arith- metic in Mathematica

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...

Pages: 8
Size: 880 kb
Paper DOI: 10.2495/IMS970051

 

 

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Innovation in Mathematics

Innovation in Mathematics

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