Français Anglais
Accueil Annuaire Plan du site
Accueil > Evenements > Séminaires
Séminaire d'équipe(s) VALS
Formal Proofs of Rounding Error Bounds
Pierre Roux

27 March 2015, 10h00 - 27 March 2015, 11h30
Salle/Bat : 435/PCRI-N
Contact :

Activités de recherche : Formalisation et preuves de programmes numériques

Résumé :
Floating-point arithmetic is a very efficient solution to
perform computations in the real field. However, it induces rounding
errors making results computed in floating-point differ from what
would be computed with reals. Although numerical analysis gives tools
to bound such differences, the proofs involved can be painful, hence
error prone. We thus investigate the ability of a proof assistant like
Coq to mechanically check such proofs. We demonstrate two different
results involving matrices, which are pervasive among numerical
algorithms, and show that a large part of the development effort can
be shared between them.

In this talk, a brief introduction to floating point roundings will
be given followed by an overview of the results.

Pour en savoir plus :
Séminaires
Programmation mathématique multi-objectif pour la
Thursday 13 December 2018 - 14h30
Salle : unknown - unknown
Audrey Legendre .............................................

Redundancy in Distributed Proofs
Algorithmique distribuée
Tuesday 04 December 2018 - 00h00
Salle : 465 - PCRI-N
Ami Paz .............................................

Some recent results on the integer linear programm
Théorie des graphes
Friday 30 November 2018 - 00h00
Salle : 445 - PCRI-N
Hung Nguyen .............................................

Scalable and exhaustive screening of metabolic fun
Wednesday 28 November 2018 - 11h00
Salle : 465 - PCRI-N
Clémence Frioux .............................................

Studying the three-dimensional structure of DNA fr
Thursday 22 November 2018 - 15h00
Salle : unknown - unknown
Nelle Varoquaux .............................................