Exact relaxation for polynomial optimization on semi-algebraic sets, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00846977
Border basis relaxation for polynomial optimization, Journal of Symbolic Computation, vol.74, pp.378-399, 2015. ,
DOI : 10.1016/j.jsc.2015.08.004
URL : https://hal.archives-ouvertes.fr/hal-00981546
The Magma Algebra System I: The User Language, Journal of Symbolic Computation, vol.24, issue.3-4, pp.3-4235, 1997. ,
DOI : 10.1006/jsco.1996.0125
A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots, Proceedings of the 1997 international symposium on Symbolic and algebraic computation , ISSAC '97, pp.133-140, 1997. ,
DOI : 10.1145/258726.258767
Singular 4-0-2 ? A computer algebra system for polynomial computations, 2015. ,
A Supernodal Approach to Sparse Partial Pivoting, SIAM Journal on Matrix Analysis and Applications, vol.20, issue.3, pp.720-755, 1999. ,
DOI : 10.1137/S0895479895291765
FGb: A Library for Computing Gr??bner Bases, ICMS, pp.84-87, 2010. ,
DOI : 10.1007/978-3-642-15582-6_17
Handbook of Test Problems in Local and Global Optimization, 1999. ,
DOI : 10.1007/978-1-4757-3040-1
A new algorithm for computing certified numerical approximations of the roots of a zero-dimensional system, Proceedings of the 2009 international symposium on Symbolic and algebraic computation, ISSAC '09, pp.167-173, 2009. ,
DOI : 10.1145/1576702.1576727
URL : https://hal.archives-ouvertes.fr/hal-01294713
Polynomial systems solving and elliptic curve cryptography, p.2013 ,
URL : https://hal.archives-ouvertes.fr/tel-00925271
Moments, positive polynomials and their applications, 2009. ,
DOI : 10.1142/p665
Moment matrices, border bases and real radical computation, Journal of Symbolic Computation, vol.51, 2012. ,
DOI : 10.1016/j.jsc.2012.03.007
URL : https://hal.archives-ouvertes.fr/hal-00651759
Global Optimization with Polynomials and the Problem of Moments, SIAM Journal on Optimization, vol.11, issue.3, pp.796-817, 2001. ,
DOI : 10.1137/S1052623400366802
Generalized normal forms and polynomial system solving, Proceedings of the 2005 international symposium on Symbolic and algebraic computation , ISSAC '05, pp.253-260, 2005. ,
DOI : 10.1145/1073884.1073920
URL : https://hal.archives-ouvertes.fr/inria-00070537
Border basis representation of a general quotient algebra, Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, ISSAC '12, pp.265-272, 2012. ,
DOI : 10.1145/2442829.2442868
URL : https://hal.archives-ouvertes.fr/hal-00709962
The MOSEK optimization library. www.mosek.com, 2015. ,
Exact Solutions in Structured Low-Rank Approximation, SIAM Journal on Matrix Analysis and Applications, vol.35, issue.4, pp.1521-1542, 2014. ,
DOI : 10.1137/13094520X
URL : https://hal.archives-ouvertes.fr/hal-00953702
Giac/XCas, a free computer algebra system, 2008. ,
A new certified numerical algorithm for solving polynomial systems, SCAN2010, pp.1-8, 2010. ,