Error estimates for generalized barycentric interpolation, Advances in Computational Mathematics, vol.72, issue.1, pp.417-439, 2012. ,
DOI : 10.1007/s10444-011-9218-z
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3549276
Enhanced Sampling in Molecular Dynamics Using Metadynamics, Replica-Exchange, and Temperature-Acceleration, Entropy, vol.16, issue.1, pp.163-199, 2014. ,
DOI : 10.3390/e16010163
Nonuniform Fourier Transforms for Rigid-Body and Multidimensional Rotational Correlations, SIAM Journal on Scientific Computing, vol.35, issue.4, pp.821-845, 2013. ,
DOI : 10.1137/120892386
The proof of Tchakaloff's Theorem, Proc. Amer, pp.3035-3040, 2006. ,
General tensor decomposition, moment matrices and applications, Journal of Symbolic Computation, vol.52, pp.51-71, 2013. ,
DOI : 10.1016/j.jsc.2012.05.012
URL : https://hal.archives-ouvertes.fr/inria-00590965
Symmetric tensor decomposition . Linear Algebra and Applications, pp.1851-1872, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00355713
Construction of algebraic cubature rules using polynomial ideal theory, SIAM J. Numer. Anal, vol.15, pp.953-976, 1978. ,
Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension, The Journal of Computational Finance, vol.1, issue.1, pp.27-46, 1997. ,
DOI : 10.21314/JCF.1997.005
Constructing cubature formulae: the science behind the art, Acta Numerica, vol.3, pp.1-54, 1997. ,
DOI : 10.1007/BF02165125
Solving equations via algebras, Solving Polynomial Equations: Foundations, Algorithms, and Applications, pp.63-123, 2005. ,
DOI : 10.1007/3-540-27357-3_2
Recursiveness, positivity, and truncated moment problems, Houston J. Math, vol.17, issue.4, pp.603-635, 1991. ,
Flat extensions of positive moment matrices: recursively generated relations, Memoirs of the American Mathematical Society, vol.136, issue.648, pp.1-64, 1998. ,
DOI : 10.1090/memo/0648
The truncated complex k-moment problem. Transactions of the, pp.2825-2855, 2000. ,
Commutative Algebra with a view toward Algebraic Geometry, Graduate Texts in Math, vol.150, 1994. ,
Introduction à la résolution des systèmes d'équations algébriques, of Mathématiques et Applications, 2007. ,
Matrix Rank Minimization with Applications, 2002. ,
Dual formulations of mixed finite element methods with applications, Computer-Aided Design, vol.43, issue.10, pp.1213-1221, 2011. ,
DOI : 10.1016/j.cad.2011.06.017
Hankel and toeplitz matrices and forms. . birkhauser. Algebraic theory. Translated from the Russian by G. Philip A. Thijsse. With an introduction by I. Gohberg, 1982. ,
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
Revisiting two theorems of Curto and Fialkow on moment matrices, Proc. Amer. Math. Soc, pp.2965-2976, 2005. ,
Sums of Squares, Moment Matrices and Optimization Over Polynomials, IMA volume Emerging Applications of Algebraic Geometry. IMA, 2008. ,
DOI : 10.1007/978-0-387-09686-5_7
Sums of Squares, Moment Matrices and Optimization Over Polynomials, Mathematics and its Applications, pp.157-270, 2009. ,
DOI : 10.1007/978-0-387-09686-5_7
A generalized flat extension theorem for moment matrices, Archiv der Mathematik, vol.38, issue.1, pp.87-98, 2009. ,
DOI : 10.1007/s00013-009-0007-6
Minimum-point cubature formulas, Numerische Mathematik, vol.52, issue.No. 3, pp.185-20076, 1975. ,
DOI : 10.1007/BF01462272
Lower Bounds for the Number of Nodes in Cubature Formulae, Numerische Integration of International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique, pp.221-230, 1979. ,
DOI : 10.1007/978-3-0348-6288-2_17
Lower Bounds for the Number of Nodes in Cubature Formulae, Internat. Ser. Numer. Math, vol.45, pp.221-230, 1979. ,
DOI : 10.1007/978-3-0348-6288-2_17
A New Criterion for Normal Form Algorithms, AAECC, pp.430-443, 1999. ,
DOI : 10.1007/3-540-46796-3_41
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
Proof of the minimality of the number of nodes in the cubature formula for a hypersphere, USSR Computational Mathematics and Mathematical Physics, vol.6, issue.4, pp.621-630, 1966. ,
DOI : 10.1016/0041-5553(66)90002-4
Interpolational cubature formulas (russian), pp.1-336, 1981. ,
Interior-point polynomial algorithms in convex programming, 1994. ,
DOI : 10.1137/1.9781611970791
Toward real-time pricing of complex financial derivatives, Applied Mathematical Finance, vol.41, issue.1, pp.1-20, 1996. ,
DOI : 10.1016/0304-405X(77)90016-2
A Dilation Theory Approach to Cubature Formulas. II, Mathematische Nachrichten, vol.211, issue.1, pp.183-192, 1997. ,
DOI : 10.1002/(SICI)1522-2616(200003)211:1<159::AID-MANA159>3.0.CO;2-R
Zur mechanischen kubatur. (German) Monatsh, Math, vol.52, pp.286-300, 1948. ,
DOI : 10.1007/bf01525334
Interpolation error estimates for mean value coordinates over convex polygons, Advances in Computational Mathematics, vol.26, issue.3, pp.327-347, 2013. ,
DOI : 10.1007/s10444-012-9282-z
Quadratic serendipity finite elements on polygons using generalized barycentric coordinates, Mathematics of Computation, vol.83, issue.290, pp.2691-2716, 2014. ,
DOI : 10.1090/S0025-5718-2014-02807-X
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization, SIAM Review, vol.52, issue.3, pp.471-501, 2010. ,
DOI : 10.1137/070697835
Two-Dimensional Minimal Cubature Formulas and Matrix Equations, SIAM Journal on Matrix Analysis and Applications, vol.16, issue.3, pp.898-921, 1995. ,
DOI : 10.1137/S0895479893252404
On bivariate Gaussian cubature formulae, Proc. Amer, pp.833-841, 1994. ,
DOI : 10.1090/S0002-9939-1994-1209428-0
QUADRATURE METHODS FOR FUNCTIONS OF MORE THAN ONE VARIABLE, Annals of the New York Academy of Sciences, vol.6, issue.2, pp.776-791, 1960. ,
DOI : 10.1111/j.1749-6632.1960.tb42842.x
Integration Formulas and Orthogonal Polynomials, SIAM Journal on Numerical Analysis, vol.4, issue.3, pp.271-276, 1970. ,
DOI : 10.1137/0704034
Formules de cubatures mécaniques à coefficients non négatifs, Bull. Sci. Math, vol.81, issue.2, pp.123-134, 1957. ,
A rational finite element basis, 1975. ,
Common zeros of polynomials in several variables and higherdimensional quadrature, Pitman Research Notes in Mathematics Series, vol.312, issue.312, p.119, 1994. ,
Cubature Formulae and Polynomial Ideals, Advances in Applied Mathematics, vol.23, issue.3, pp.211-233, 1999. ,
DOI : 10.1006/aama.1999.0652
URL : http://doi.org/10.1006/aama.1999.0652
Mourrain: Inria Sophia Antipolis Méditerranée, pp.78712-78739, 2004. ,