I. Task and P. , Standard for Floating-Point Arithmetic, pp.754-2008, 2008.

R. Todd, Run-to-Run Numerical Reproducibility with the Intel Math Kernel Library and Intel Composer XE 2013, Intel Corporation, Tech. Rep, 2013.

J. W. Demmel and H. D. Nguyen, Fast Reproducible Floating-Point Summation, 2013 IEEE 21st Symposium on Computer Arithmetic, 2013.
DOI : 10.1109/ARITH.2013.9
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.6586

S. Collange, D. Defour, S. Graillat, and R. Iakimchuk, Reproducible and Accurate Matrix Multiplication in ExBLAS for High-Performance Computing, SCAN'2014, 2014.

C. Chohra, P. Langlois, and D. Parello, Efficiency of Reproducible Level 1 BLAS, 2015.
DOI : 10.1007/978-3-319-31769-4_8
URL : https://hal.archives-ouvertes.fr/lirmm-01101723

R. M. Neal, Fast exact summation using small and large superaccumulators

C. Chohra, P. Langlois, and D. Parello, Reproducible, Accurately Rounded and Efficient BLAS, " Feb. 2016, working paper or preprint

T. Ogita, S. M. Rump, and S. Oishi, Accurate Sum and Dot Product, SIAM Journal on Scientific Computing, vol.26, issue.6, pp.1955-1988, 2005.
DOI : 10.1137/030601818

N. Yamanaka, T. Ogita, S. Rump, and S. Oishi, A parallel algorithm for accurate dot product, Parallel Computing, vol.34, issue.6-8, pp.392-410, 2008.
DOI : 10.1016/j.parco.2008.02.002

Y. Zhu and W. B. Hayes, Correct Rounding and a Hybrid Approach to Exact Floating-Point Summation, SIAM Journal on Scientific Computing, vol.31, issue.4, pp.2981-3001, 2009.
DOI : 10.1137/070710020

S. Graillat, C. Lauter, P. T. Tang, N. Yamanaka, and S. Oishi, Efficient calculations of faithfully rounded l2-norms of n-vectors, ACM Trans. Math. Softw, vol.4120, issue.24, pp.1-24, 2015.

T. J. Dekker, A floating-point technique for extending the available precision, Numerische Mathematik, vol.5, issue.3, pp.224-242, 1971.
DOI : 10.1007/BF01397083

J. Muller, N. Brisebarre, F. De-dinechin, C. Jeannerod, V. Lefèvre et al., Handbook of Floating- Point Arithmetic, 2010.
DOI : 10.1007/978-0-8176-4705-6
URL : https://hal.archives-ouvertes.fr/ensl-00379167

Y. Zhu and W. B. Hayes, Algorithm 908, ACM Transactions on Mathematical Software, vol.37, issue.3, pp.1-37, 2010.
DOI : 10.1145/1824801.1824815