| Numerical reproducibility for the parallel reduction on multi-and many-core architectures C Collange, D Defour, S Graillat, R Iakymchuk Parallel Computing 49, 83-97, 2015 | 75 | 2015 |
| Improving the compensated Horner scheme with a fused multiply and add S Graillat, P Langlois, N Louvet Proceedings of the 2006 ACM symposium on Applied computing, 1323-1327, 2006 | 54 | 2006 |
| Algorithms for accurate, validated and fast polynomial evaluation S Graillat, P Langlois, N Louvet Japan Journal of Industrial and Applied Mathematics 26, 191-214, 2009 | 53 | 2009 |
| Verified error bounds for multiple roots of systems of nonlinear equations SM Rump, S Graillat Numerical Algorithms 54, 359-377, 2010 | 51 | 2010 |
| Auto-tuning for floating-point precision with Discrete Stochastic Arithmetic S Graillat, F Jézéquel, R Picot, F Févotte, B Lathuilière Journal of computational science 36, 101017, 2019 | 46 | 2019 |
| ExBLAS: Reproducible and accurate BLAS library R Iakymchuk, C Collange, D Defour, S Graillat NRE: Numerical Reproducibility at Exascale, 2015 | 43 | 2015 |
| Stochastic arithmetic in multiprecision S Graillat, F Jézéquel, S Wang, Y Zhu Mathematics in Computer Science 5, 359-375, 2011 | 40 | 2011 |
| Full-speed deterministic bit-accurate parallel floating-point summation on multi-and many-core architectures S Collange, D Defour, S Graillat, R Iakymchuk INRIA, DALI–LIRMM, LIP6, ICS, Tech. Rep. HAL: hal-00949355, 2014 | 34 | 2014 |
| A note on structured pseudospectra S Graillat Journal of computational and applied mathematics 191 (1), 68-76, 2006 | 29 | 2006 |
| Accurate floating-point product and exponentiation S Graillat IEEE Transactions on Computers 58 (7), 994-1000, 2008 | 28 | 2008 |
| On the robustness of the 2Sum and Fast2Sum algorithms S Boldo, S Graillat, JM Muller ACM Transactions on Mathematical Software (TOMS) 44 (1), 1-14, 2017 | 24 | 2017 |
| Accurate simple zeros of polynomials in floating point arithmetic S Graillat Computers & Mathematics with Applications 56 (4), 1114-1120, 2008 | 24 | 2008 |
| Numerical validation of compensated summation algorithms with stochastic arithmetic S Graillat, F Jézéquel, R Picot Electronic Notes in Theoretical Computer Science 317, 55-69, 2015 | 22 | 2015 |
| PROMISE: floating-point precision tuning with stochastic arithmetic S Graillat, F Jézéquel, R Picot, F Févotte, B Lathuiliere Proceedings of the 17th International Symposium on Scientific Computing …, 2016 | 19 | 2016 |
| Accurate evaluation of the k-th derivative of a polynomial and its application H Jiang, S Graillat, C Hu, S Li, X Liao, L Cheng, F Su Journal of Computational and Applied Mathematics 243, 28-47, 2013 | 19 | 2013 |
| Efficient Calculations of Faithfully Rounded l2-Norms of n-Vectors S Graillat, C Lauter, PTP Tang, N Yamanaka, S Oishi ACM Transactions on Mathematical Software (TOMS) 41 (4), 1-20, 2015 | 18 | 2015 |
| Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic S Graillat, V Ménissier-Morain Information and Computation 216, 57-71, 2012 | 18 | 2012 |
| Error-free transformations in real and complex floating point arithmetic S Graillat, V Ménissier-Morain Proceedings of the International Symposium on Nonlinear Theory and its …, 2007 | 17 | 2007 |
| Structured condition numbers and backward errors in scalar product spaces F Tisseur, S Graillat The Electronic Journal of Linear Algebra 15, 159-177, 2006 | 15 | 2006 |
| Reproducible and accurate matrix multiplication R Iakymchuk, D Defour, S Collange, S Graillat Scientific Computing, Computer Arithmetic, and Validated Numerics: 16th …, 2016 | 14 | 2016 |
