Claude-Pierre Jeannerod
University of Lyon
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Publication
Featured researches published by Claude-Pierre Jeannerod.
Journal of Complexity | 2005
Claude-Pierre Jeannerod; Gilles Villard
We present an inversion algorithm for nonsingular n × n matrices whose entries are degree d polynomials over a field. The algorithm is deterministic and, when n is a power of two, requires O ∼ (n3d) field operations for a generic input; the soft-O notation O∼ indicates some missing log(nd) factors. Up to such logarithmic factors, this asymptotic complexity is of the same order as the number of distinct field elements necessary to represent the inverse matrix.
SIAM Journal on Matrix Analysis and Applications | 2013
Claude-Pierre Jeannerod; Siegfried M. Rump
Given two floating-point vectors
Journal of Symbolic Computation | 2013
Claude-Pierre Jeannerod; Clément Pernet; Arne Storjohann
x,y
conference on advanced signal processing algorithms architectures and implemenations | 2004
Christian Bertin; Nicolas Brisebarre; Benoit Dupont de Dinechin; Claude-Pierre Jeannerod; Christophe Monat; Jean-Michel Muller; Saurabh-Kumar Raina; Arnaud Tisserand
of dimension
IEEE Transactions on Information Theory | 2015
Muhammad F. I. Chowdhury; Claude-Pierre Jeannerod; Vincent Neiger; Éric Schost; Gilles Villard
n
International Journal of Control | 2006
Claude-Pierre Jeannerod; Gilles Villard
and assuming rounding to nearest, we show that if no underflow or overflow occurs, any evaluation order for an inner product returns a floating-point number
Mathematics of Computation | 2017
Claude-Pierre Jeannerod; Siegfried M. Rump
{\widehat r}
international symposium on symbolic and algebraic computation | 2016
Claude-Pierre Jeannerod; Vincent Neiger; Éric Schost; Gilles Villard
such that
SIAM Journal on Matrix Analysis and Applications | 2014
Siegfried M. Rump; Claude-Pierre Jeannerod
|{\widehat r}- x^Ty| \leqslant nu|x|^T|y|
international symposium on symbolic and algebraic computation | 2007
Alin Bostan; Claude-Pierre Jeannerod; Éric Schost
with
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French Institute for Research in Computer Science and Automation
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