Nicolas Louvet

Orcid: 0000-0002-5861-0819

According to our database1, Nicolas Louvet authored at least 15 papers between 2005 and 2023.

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Bibliography

2023
Accurate Calculation of Euclidean Norms Using Double-word Arithmetic.
ACM Trans. Math. Softw., March, 2023

2017
Error bounds on complex floating-point multiplication with an FMA.
Math. Comput., 2017

2016
Sharp error bounds for complex floating-point inversion.
Numer. Algorithms, 2016

2013
Further analysis of Kahan's algorithm for the accurate computation of 2×2 determinants.
Math. Comput., 2013

On the Componentwise Accuracy of Complex Floating-Point Division with an FMA.
Proceedings of the 21st IEEE Symposium on Computer Arithmetic, 2013

2012
On the Computation of Correctly Rounded Sums.
IEEE Trans. Computers, 2012

2011
Midpoints and Exact Points of Some Algebraic Functions in Floating-Point Arithmetic.
IEEE Trans. Computers, 2011

2010
Computing correctly rounded integer powers in floating-point arithmetic.
ACM Trans. Math. Softw., 2010

Newton-Raphson algorithms for floating-point division using an FMA.
Proceedings of the 21st IEEE International Conference on Application-specific Systems Architectures and Processors, 2010

Implementing decimal floating-point arithmetic through binary: Some suggestions.
Proceedings of the 21st IEEE International Conference on Application-specific Systems Architectures and Processors, 2010

2007
Algorithmes compensés en arithmétique flottante : précision, validation, performances. (Compensated algorithms in floating point arithmetic : accuracy, validation, performances).
PhD thesis, 2007

How to Ensure a Faithful Polynomial Evaluation with the Compensated Horner Algorithm.
Proceedings of the 18th IEEE Symposium on Computer Arithmetic (ARITH-18 2007), 2007

2006
Faithful Polynomial Evaluation with Compensated Horner Algorithm
CoRR, 2006

Improving the compensated Horner scheme with a fused multiply and add.
Proceedings of the 2006 ACM Symposium on Applied Computing (SAC), 2006

2005
Compensated Horner Scheme.
Proceedings of the Algebraic and Numerical Algorithms and Computer-assisted Proofs, 2005


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