Introduction to interval analysis, 1983. ,
Bertini: software for numerical algebraic geometry, 2006. ,
Certified Numerical Homotopy Tracking, Experimental Mathematics, vol.133, issue.27, pp.69-83, 2012. ,
DOI : 10.1080/10586458.2011.606184
Fast and correct SIMD algorithms for interval arithmetic, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00288456
Ball arithmetic, Logical approaches to Barriers in Computing and Complexity , number 6 in Preprint-Reihe Mathematik, pp.179-208, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00432152
Reliable homotopy continuation, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00589948
Interfacing mathemagix with C++, Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation, ISSAC '13, pp.363-370, 2013. ,
DOI : 10.1145/2465506.2465511
URL : https://hal.archives-ouvertes.fr/hal-00771214
Mathemagix User Guide. CNRS & École polytechnique, France, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00785549
Applied interval analysis, 2001. ,
DOI : 10.1007/978-1-4471-0249-6
URL : https://hal.archives-ouvertes.fr/hal-00845131
Computer Arithmetic and Validity. Theory, Implementation, and Applications, Number 33 in Studies in Mathematics. De Gruyter, 2008. ,
DOI : 10.1515/9783110203196
Interval Arithmetic Using SSE-2, Lect. Notes Comput. Sci, vol.5045, pp.102-113, 2008. ,
DOI : 10.1007/978-3-540-85521-7_6
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.2642
Interval Analysis, N.J, 1966. ,
Introduction to Interval Analysis, 2009. ,
DOI : 10.1137/1.9780898717716
Handbook of Floating-Point Arithmetic, 2010. ,
DOI : 10.1007/978-0-8176-4705-6
URL : https://hal.archives-ouvertes.fr/ensl-00379167
Efficient algorithms for verified scientific computing: numerical linear algebra using interval arithmetic, 2011. ,
Interval methods for systems of equations, 1990. ,
DOI : 10.1017/CBO9780511526473
Fast Inclusion of Interval Matrix Multiplication, Reliable Computing, vol.27, issue.1???2, pp.191-205, 2005. ,
DOI : 10.1007/s11155-005-3615-2
Tight and efficient enclosure of matrix multiplication by using optimized BLAS, Numerical Linear Algebra with Applications, vol.11, issue.3, pp.237-248, 2011. ,
DOI : 10.1002/nla.724
Fast algorithms for floating-point interval matrix multiplication, Journal of Computational and Applied Mathematics, vol.236, issue.7, pp.1795-1814, 2012. ,
DOI : 10.1016/j.cam.2011.10.011
Parallel implementation of interval matrix multiplication, Reliab. Comput, vol.19, issue.1, pp.91-106, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00801890
Numerical Reproducibility and Parallel Computations: Issues for Interval Algorithms, IEEE Transactions on Computers, vol.63, issue.8, pp.1915-1924, 2014. ,
DOI : 10.1109/TC.2014.2322593
URL : https://hal.archives-ouvertes.fr/hal-00916931
Fast and parallel interval arithmetic, Bit Numerical Mathematics, vol.39, issue.3, pp.534-554, 1999. ,
DOI : 10.1023/A:1022374804152
Verification methods, Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, ISSAC '10, pp.287-449, 2010. ,
DOI : 10.1145/1837934.1837937
Fast interval matrix multiplication, Numerical Algorithms, vol.89, issue.1, pp.1-34, 2012. ,
DOI : 10.1007/s11075-011-9524-z
Arbitrary 3D Resolution Discrete Ray Tracing of Implicit Surfaces, Discrete Geometry for Computer Imagery, pp.414-426, 2005. ,
DOI : 10.1007/978-3-540-31965-8_38
The Numerical Solution of Systems of Polynomials Arising in Engineering and Science, World Scientific, 2005. ,
DOI : 10.1142/5763
Homotopy continuation methods for solving polynomial systems, 1996. ,
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation, ACM Transactions on Mathematical Software, vol.25, issue.2, pp.251-276, 1999. ,
DOI : 10.1145/317275.317286
Interval arithmetic on multimedia architectures, Reliab. Comput, vol.8, issue.4, pp.307-312, 2002. ,