S. W. Chien, I. B. Peng, and S. Markidis, Posit NPB: Assessing the Precision Improvement in HPC Scientific Applications, Parallel Processing and Applied Mathematics, pp.301-310, 2020.

C. Chohra, P. Langlois, and D. Parello, Reproducible, Accurately Rounded and Efficient BLAS, Euro-Par 2016: Parallel Processing Workshops, pp.609-620, 2017.
URL : https://hal.archives-ouvertes.fr/lirmm-01280324

D. Sylvain-collange, S. Defour, R. Graillat, and . Iakymchuk, Numerical Reproducibility for the Parallel Reduction on Multi-and Many-Core Architectures, Parallel Computing, vol.49, pp.83-97, 2015.

T. A. Davis and Y. Hu, The university of Florida sparse matrix collection, ACM Transactions on Mathematical Software, vol.38, issue.1, pp.1-25, 2011.

J. Demmel and . Hong-diep-nguyen, Fast Reproducible Floating-Point Summation, 2013 IEEE 21st Symposium on Computer Arithmetic, 2013.

L. Fousse, G. Hanrot, V. Lefèvre, P. Pélissier, and P. Zimmermann, MPFR, ACM Transactions on Mathematical Software, vol.33, issue.2, p.13, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00103655

Y. Hida, X. S. Li, and D. H. Bailey, Algorithms for quad-double precision floating point arithmetic, Proceedings 15th IEEE Symposium on Computer Arithmetic. ARITH-15 2001

R. Iakymchuk, M. B. Vayá, S. Graillat, J. I. Aliaga, and E. S. Quintana-ortí, Reproducibility of parallel preconditioned conjugate gradient in hybrid programming environments, The International Journal of High Performance Computing Applications, vol.34, issue.5, pp.502-518, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02427795

R. Iakymchuk, M. Barreda, M. Wiesenberger, J. I. Aliaga, and E. S. Quintana-ortí, Reproducibility strategies for parallel Preconditioned Conjugate Gradient, Journal of Computational and Applied Mathematics, vol.371, p.112697, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02391618

R. Iakymchuk, S. Collange, D. Defour, and S. Graillat, ExBLAS: Reproducible and Accurate BLAS Library, Proc. Numerical Reproducibility at Exascale (NRE2015) at SC'15, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01202396

U. W. Kulisch, Contents, Computer Arithmetic and Validity, vol.33, 2008.

X. S. Li, J. W. Demmel, D. H. Bailey, G. Henry, Y. Hida et al., Design, implementation and testing of extended and mixed precision BLAS, ACM Transactions on Mathematical Software, vol.28, issue.2, pp.152-205, 2002.

D. Mukunoki, T. Ogita, and K. Ozaki, Reproducible BLAS Routines with Tunable Accuracy Using Ozaki Scheme for Many-Core Architectures, Parallel Processing and Applied Mathematics, vol.12043, pp.516-527, 2020.

D. Mukunoki, K. Ozaki, T. Ogita, and T. Imamura, DGEMM Using Tensor Cores, and Its Accurate and Reproducible Versions, Lecture Notes in Computer Science, vol.12151, pp.230-248, 2020.

D. Mukunoki and D. Takahashi, Using Quadruple Precision Arithmetic to Accelerate Krylov Subspace Methods on GPUs, Parallel Processing and Applied Mathematics, pp.632-642, 2014.

M. Nakata, Poster: MPACK 0.7.0: Multiple Precision Version of BLAS and LAPACK, 2012 SC Companion: High Performance Computing, Networking Storage and Analysis, 2012.

K. Ozaki, T. Ogita, S. Oishi, and S. M. Rump, Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications, Numerical Algorithms, vol.59, issue.1, pp.95-118, 2011.

K. Ozaki, T. Ogita, S. Oishi, and S. M. Rump, Generalization of error-free transformation for matrix multiplication and its application, Nonlinear Theory and Its Applications, IEICE, vol.4, issue.1, pp.2-11, 2013.

S. M. Rump, T. Ogita, and S. Oishi, Accurate Floating-Point Summation Part I: Faithful Rounding, SIAM Journal on Scientific Computing, vol.31, issue.1, pp.189-224, 2008.

S. M. Rump, T. Ogita, and S. Oishi, Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest, SIAM Journal on Scientific Computing, vol.31, issue.2, pp.1269-1302, 2009.

S. M. Rump, T. Ogita, and S. Oishi, Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest, SIAM Journal on Scientific Computing, vol.31, issue.2, pp.1269-1302, 2009.

S. M. Rump, T. Ogita, and S. Oishi, Fast high precision summation, Nonlinear Theory and Its Applications, IEICE, vol.1, issue.1, pp.2-24, 2010.

R. Todd, Loops and Conditional Statements, An Introduction to Programming and Numerical Methods in MATLAB, pp.63-101