Shadow computation with BFloat16 to compute numerical accuracy

Autor: David Defour, Pablo de Oliveira Castro, Matei Istoan, Eric Petit
Přispěvatelé: LAboratoire de Mathématiques et PhySique (LAMPS), Université de Perpignan Via Domitia (UPVD), ANR-20-CE46-0009,INTERFLOP,Plateforme d'analyse pour l'arithmétique flottante(2020)
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: IEEE 28th Symposium on Computer Arithmetic (ARITH)
IEEE 28th Symposium on Computer Arithmetic (ARITH), Jun 2021, Virtual Conference, France
HAL
Popis: International audience; In this article, we propose to exploit the new computational capability offered by the Bfloat16 representation format to perform shadow computations and compute estimations of the relative error. We demonstrate and evaluate the assumptions under which shadow computation is valid for the summation problem.
Databáze: OpenAIRE