Nicolas Louvet

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

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2023

Accurate Calculation of Euclidean Norms Using Double-word Arithmetic.

Vincent Lefèvre, Nicolas Louvet, Jean-Michel Muller, Joris Picot, Laurence Rideau

ACM Trans. Math. Softw., March, 2023

2017

Error bounds on complex floating-point multiplication with an FMA.

Claude-Pierre Jeannerod, Peter Kornerup, Nicolas Louvet, Jean-Michel Muller

Math. Comput., 2017

2016

Sharp error bounds for complex floating-point inversion.

Claude-Pierre Jeannerod, Nicolas Louvet, Jean-Michel Muller, Antoine Plet

Numer. Algorithms, 2016

2013

Further analysis of Kahan's algorithm for the accurate computation of 2×2 determinants.

Claude-Pierre Jeannerod, Nicolas Louvet, Jean-Michel Muller

Math. Comput., 2013

On the Componentwise Accuracy of Complex Floating-Point Division with an FMA.

Claude-Pierre Jeannerod, Nicolas Louvet, Jean-Michel Muller

Proceedings of the 21st IEEE Symposium on Computer Arithmetic, 2013

2012

On the Computation of Correctly Rounded Sums.

Peter Kornerup, Vincent Lefèvre, Nicolas Louvet, Jean-Michel Muller

IEEE Trans. Computers, 2012

2011

Midpoints and Exact Points of Some Algebraic Functions in Floating-Point Arithmetic.

Claude-Pierre Jeannerod, Nicolas Louvet, Jean-Michel Muller, Adrien Panhaleux

IEEE Trans. Computers, 2011

2010

Computing correctly rounded integer powers in floating-point arithmetic.

Peter Kornerup, Christoph Quirin Lauter, Vincent Lefèvre, Nicolas Louvet, Jean-Michel Muller

ACM Trans. Math. Softw., 2010

Newton-Raphson algorithms for floating-point division using an FMA.

Nicolas Louvet, Jean-Michel Muller, Adrien Panhaleux

Proceedings of the 21st IEEE International Conference on Application-specific Systems Architectures and Processors, 2010

Implementing decimal floating-point arithmetic through binary: Some suggestions.

Nicolas Brisebarre, Nicolas Louvet, Érik Martin-Dorel, Jean-Michel Muller, Adrien Panhaleux, Milos D. Ercegovac

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).

Nicolas Louvet

PhD thesis, 2007

How to Ensure a Faithful Polynomial Evaluation with the Compensated Horner Algorithm.

Philippe Langlois, Nicolas Louvet

Proceedings of the 18th IEEE Symposium on Computer Arithmetic (ARITH-18 2007), 2007

2006

Faithful Polynomial Evaluation with Compensated Horner Algorithm

Philippe Langlois, Nicolas Louvet

CoRR, 2006

Improving the compensated Horner scheme with a fused multiply and add.

Stef Graillat, Philippe Langlois, Nicolas Louvet

Proceedings of the 2006 ACM Symposium on Applied Computing (SAC), 2006

2005

Compensated Horner Scheme.

Philippe Langlois, Stef Graillat, Nicolas Louvet

Proceedings of the Algebraic and Numerical Algorithms and Computer-assisted Proofs, 2005