English

Probabilist Set Inversion using a new framework for interval arithmetic

Numerical Analysis 2011-12-06 v2

Abstract

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.

Cite

@article{arxiv.1111.0167,
  title  = {Probabilist Set Inversion using a new framework for interval arithmetic},
  author = {Abdelouahab Kenoufi and Nicolas Goze and Michel Goze},
  journal= {arXiv preprint arXiv:1111.0167},
  year   = {2011}
}

Comments

8 figures

R2 v1 2026-06-21T19:29:01.506Z