Probabilist Set Inversion using a new framework for interval arithmetic
classification
🧮 math.NA
keywords
intervalframeworkinversionalgebraarithmeticarithmeticsassociatedbetter
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In this paper, we present how to use a free algebra based interval arithmetics framework in order to build better defined inclusion function for interval semi-group and for its associated vector space. One introduces the psi-algorithm, which performs set inversion of functions and exhibits some numerical examples developped with the python programming langage.
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