Modular SIMD arithmetic in M <scp>athemagix</scp>

DOI10.1145/2876503zbMath1391.65003arXiv1407.3383OpenAlexW2400405359WikidataQ130994533 ScholiaQ130994533MaRDI QIDQ3176303

Joris van der Hoeven, Grégoire Lecerf, Guillaume Quintin

Publication date: 20 July 2018

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3383

zbMATH Keywords

matrix productfast Fourier transformpolynomial productMathemagixinteger productmodular integer arithmetic

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for wavelets (65T60) Software, source code, etc. for problems pertaining to numerical analysis (65-04) Numerical algorithms for computer arithmetic, etc. (65Y04)

Related Items (5)

A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic ⋮ On the complexity of integer matrix multiplication ⋮ On the complexity of the Lickteig-Roy subresultant algorithm ⋮ Mathemagix ⋮ Analytic form of the planar two-loop five-parton scattering amplitudes in QCD

Uses Software

• Magma
• MPFR
• Boost C++ Libraries
• FFTW
• mpFq

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