ClaudePierre Jeannerod  
Inria researcher
in the AriC team
at LIP  ENS de Lyon. 

Research interests  
Computer algebra, and especially the design and analysis of fast algorithms for structured matrices and polynomial matrices;  
Computer arithmetic, and especially finegrained questions in rounding error analysis as well as implementations of IEEE floatingpoint arithmetic.  
Publications  
Highlevel algorithms for correctlyrounded reciprocal square roots, with C. F. Borges and J.M. Muller. ARITH, 2022. 

Further remarks on Kahan summation with decreasing ordering. Preprint, 2021. 

The relative accuracy of (x+y)*(xy). Journal of Computational and Applied Mathematics, 2020 (with an appendix here * , 2021). 

Fast computation of approximant bases in canonical form, with V. Neiger and G. Villard. Journal of Symbolic Computation, 2020. 

Improving the complexity of block lowrank factorizations with fast matrix arithmetic, with T. Mary, C. Pernet, and D. Roche. SIAM Journal on Matrix Analysis and Applications, 2019. 

On various ways to split a floatingpoint number, with J.M. Muller and P. Zimmermann. ARITH, 2018. 



On relative errors of floatingpoint operations: optimal bounds and applications, with S. M. Rump. Mathematics of Computation, 2018. 

Computing minimal interpolation bases, with V. Neiger, É. Schost, and G. Villard. Journal of Symbolic Computation, 2017. 

On the relative error of computing complex square roots in floatingpoint arithmetic, with J.M. Muller. ACSSC, 2017. 

On matrices with displacement structure: generalized operators and
faster algorithms, with A. Bostan, C. Mouilleron, and É. Schost. SIAM Journal on Matrix Analysis and Applications, 2017. 

The classical relative error bounds for computing sqrt(a*a+b*b) and c/sqrt(a*a+b*b) in binary floatingpoint arithmetic are asymptotically optimal, with J.M. Muller and A. Plet. ARITH, 2017. 

More accurate complex multiplication for embedded processors, with C. Monat and L. Thévenoux. SIES, 2017. 

Error bounds on complex floatingpoint multiplication with an FMA, with P. Kornerup, N. Louvet, and J.M. Muller. Mathematics of Computation, 2017. 

Analyses d'erreur en arithmétique flottante (in French), with N. Revol. Chapter 5 of the book Informatique Mathématique, une photographie en 2017. B. Salvy (éd.), CNRS Éditions, 2017. 

A library for symbolic floatingpoint arithmetic, with N. Louvet, J.M. Muller, and A. Plet  [preprint]  2016. 

Fast computation of minimal interpolation bases in Popov form for arbitrary shifts, with V. Neiger, É. Schost, and G. Villard. ISSAC 2016. 

Sharp error bounds for complex floatingpoint inversion, with N. Louvet, J.M. Muller, and A. Plet. Numerical Algorithms, 2016. 

A radixindependent error analysis of the CorneaHarrisonTang method. ACM Trans. Mathematical Software, 2016. 

Improved error bounds for floatingpoint products and Horner's scheme, with S. M. Rump and F. Bünger. BIT Numerical Mathematics, 2016. 

Exploiting structure in floatingpoint arithmetic. MACIS 2015  [invited paper and talk]. 

Faster algorithms for multivariate interpolation with multiplicities and simultaneous polynomial approximations, with M. Chowdhury, V. Neiger, É. Schost, and G. Villard. IEEE Trans. Information Theory, 2015. 

Improved backward error bounds for LU and Cholesky factorizations, with S. M. Rump. SIAM Journal on Matrix Analysis and Applications, 2014. 

Further analysis of Kahan's algorithm for the accurate computation of 2 x 2 determinants, with N. Louvet and J.M. Muller. Mathematics of Computation, 2013. 

Rankprofile revealing Gaussian elimination and the CUP matrix decomposition, with C. Pernet and A. Storjohann. Journal of Symbolic Computation, 2013. 

Improved error bounds for inner products in floatingpoint arithmetic, with S. M. Rump. SIAM Journal on Matrix Analysis and Applications, 2013. 

On the componentwise accuracy of complex floatingpoint division with an FMA, with N. Louvet and J.M. Muller. ARITH21 Proceedings, Austin, April 2013. 

Simultaneous floatingpoint sine and cosine for VLIW integer processors, with J. JourdanLu. ASAP'12 Proceedings, Delft, July 2012. 

Nongeneric floatingpoint software support for embedded media processing, with J. JourdanLu and C. Monat. SIES'12 Proceedings, Karlsruhe, June 2012. 

How to square floats accurately and efficiently on the ST231 integer processor, with J. JourdanLu, C. Monat, and G. Revy. ARITH20 Proceedings, Tübingen, July 2011. 

Computing floatingpoint square roots via bivariate polynomial evaluation,
with H. Knochel, C. Monat, and G. Revy. IEEE Trans. Computers, February 2011. 

Midpoints and exact points of some algebraic functions in floatingpoint arithmetic
with N. Louvet, J.M. Muller, and A. Panhaleux. IEEE Trans. Computers, February 2011. 

Computing specified generators of structured matrix inverses, with C. Mouilleron. ISSAC'10 Proceedings, Munich, July 2010. 

Techniques and tools for implementing IEEE 754 floatingpoint arithmetic on VLIW integer processors, with C. Bertin, J. JourdanLu, H. Knochel, C. Monat, C. Mouilleron, J.M. Muller, and G. Revy. PASCO'10 Proceedings, Grenoble, July 2010 (Invited paper and talk). 

LEMA: towards a language for reliable arithmetic, with V. Lefèvre, P. Théveny, F. de Dinechin, C. Mouilleron, D. Pfannholzer, and N. Revol. PLMMS'10 Proceedings, Paris, July 2010; ACM Communications in Computer Algebra, 2010. 

Bringing fast floatingpoint arithmetic into embedded integer processors, with C. Bertin and C. Monat. HiPEAC Newsletter, 2010. 



Optimizing correctlyrounded reciprocal square roots for embedded VLIW cores, with G. Revy. Proceedings of the 43rd Conference on Signals, Systems, and Computers, Asilomar (USA), November 2009. 

A new binary floatingpoint division algorithm and its software implementation on the ST231 processor, with H. Knochel, C. Monat, G. Revy, and G. Villard. ARITH19 Proceedings, Portland, June 2009. 

Solving structured linear systems of large displacement rank, with A. Bostan and É. Schost. Theoretical Computer Science, 2008. 

Solving Toeplitz and Vandermondelike linear systems of large displacement rank, with A. Bostan and É. Schost. ISSAC'07 Proceedings, Waterloo, July 2007. 

Faster floatingpoint square root for integer processors, with H. Knochel, C. Monat, and G. Revy. SIES'07 Proceedings, Lisbon, July 2007. 

Asymptotically fast polynomial matrix algorithms for multivariable systems, with G. Villard. International Journal of Control, 2006. 

LSP matrix decomposition revisited Research report RR200628, 2006. 

... more papers ... 

Software 

FLIP  
Some recent talks 

Arithmétique à virgule flottante, structure des erreurs d'arrondi et certification symbolique, CANUM, ÉvianlesBains, June 2022.  
Recent results in finegrained rounding error analysis, SCAN, Tokyo, September 2018 / U. Manchester, February 2019.  
Multiplication and inversion algorithms for matrices with displacement structure, Structured Matrix Days, Limoges, May 2019.  
Analyses d'erreur en arithmétique flottante (cours partagé avec N. Revol), Ecole Jeunes Chercheurs du GDR IM, Lyon, January 2017.  
Algorithmes pour l'arithmétique, Journées nationales de l'APMEP, Lyon, October 2016.  
Analyse d'algorithmes en arithmétique à virgule flottante, RAIM, BanyulssurMer, June 2016.  
Exploiting structure in floatingpoint arithmetic, MACIS, Berlin, November 2015.  
Recent results in rounding error analysis, ICIAM, Beijing, August 2015.  
Optimal bounds on relative errors in floatingpoint arithmetic, SCAN, Würzburg, September 2014.  
Analyse d'algorithmes en arithmétique flottante IEEE, AriC, June 2013; Séminaire du département d'informatique de l'ENS de Lyon, December 2014.  
Avantages et limites du modèle flottant standard, Congrès SMAI, Seignosse, May 2013.  
On Kahan's algorithm for the accurate computation of 2 by 2 determinants, DALI seminar, Perpignan, April 2012 / AriC seminar, Lyon, May 2012 / Institute for Reliable Computing, Hamburg, September 2012.  
Preconditioned algorithms for the exact solution of structured linear systems, NASC, Beijing, October 2010.  
Techniques and tools for implementing IEEE 754 floatingpoint arithmetic on VLIW integer processors, PASCO, Grenoble, July 2010.  
Event (co)organization 

Structured Matrix Days 
May 1415, 2018, LIP, ENS de Lyon.


Rencontres "Arithmétique de l'Informatique Mathématique" (RAIM'17) 
October 2426, 2017, LIP, ENS de Lyon.


22nd IEEE Symposium on Computer Arithmetic (ARITH 22) 
June 2224, 2015, ENS de Lyon.


Tuesday work sessions of the AriC team
 from October 2013 to July 2014,
LIP, ENS de Lyon.


International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2010) 
September 2730, 2010, ENS de Lyon.


Rencontres "Arithmétique de l'Informatique Mathématique" (RAIM'09) 
October 2628, 2009, LIP, ENS de Lyon.


Journées Nationales de Calcul Formel
(JNCF 2005) 
November 2125, 2005, CIRM, Luminy.


Séminaire du LIP 20032004
 from October 2003 to June 2004,
LIP, ENS de Lyon.


5th Conference on
Real Numbers and Computers
(RNC'5) 
September 35, 2003, LIP, ENS de Lyon.


Coordinates 

