1 citations · 1 across the 2 of their papers we have counts for
5 papers
Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation
Emmanuel Agullo, Hartwig Anzt, Daniel Bauer +37
Reduced and mixed precision have moved from a niche optimization to a central design axis in scientific computing and engineering, driven by energy constraints, heterogeneous accel…
Multiword matrix multiplication over large finite fields in floating-point arithmetic
Jérémy Berthomieu, Stef Graillat, Dimitri Lesnoff +1
This article is concerned with the efficient computation of modular matrix multiplication C=AB mod p, a key kernel in computer algebra. We focus on floating-point arithmetic, which…
Reproducibility of Parallel Preconditioned Conjugate Gradient in Hybrid Programming Environments
Roman Iakymchuk, Maria Barreda, Stef Graillat +2
The Preconditioned Conjugate Gradient method is often employed for the solution of linear systems of equations arising in numerical simulations of physical phenomena. While being w…
On the maximum relative error when computing x^n in floating-point arithmetic
Stef Graillat, Vincent Lefèvre, Jean-Michel Muller
In this paper, we improve the usual relative error bound for the computation of x^n through iterated multiplications by x in binary floating-point arithmetic. The obtained error bo…
GPU-accelerated generation of correctly-rounded elementary functions
Pierre Fortin, Mourad Gouicem, Stef Graillat
The IEEE 754-2008 standard recommends the correct rounding of some elementary functions. This requires to solve the Table Maker's Dilemma which implies a huge amount of CPU computa…