Bibliography
Publications of the year
Articles in International Peer-Reviewed Journals
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1D. Berdinsky, T. Kim, C. Bracco, D. Cho, B. Mourrain, O. Min-Jae, S. Kiatpanichgij.
Dimensions and bases of hierarchical tensor-product splines, in: Journal of Computational and Applied Mathematics, February 2014, vol. 257, pp. 86-104. [ DOI : 10.1016/j.cam.2013.08.019 ]
https://hal.inria.fr/hal-00876557 -
2A. Bernardi, J. Brachat, B. Mourrain.
A comparison of different notions of ranks of symmetric tensors, in: Linear Algebra and its Applications, November 2014, vol. 460, pp. 205–230.
https://hal.inria.fr/hal-00746967 -
3N. Botbol, L. Busé, M. Chardin.
Fitting ideals and multiple points of surface parameterizations, in: Journal of Algebra, December 2014, vol. 420, pp. 486-508. [ DOI : 10.1016/j.jalgebra.2014.07.028 ]
https://hal.inria.fr/hal-00874221 -
4L. Busé.
Implicit matrix representations of rational Bézier curves and surfaces, in: Computer-Aided Design, 2014, vol. 46, pp. 14-24, Presented at the SIAM conference of Geometric and Physical Modeling (GD/SPM), November 11-14, 2013 at Denver, Colorado, USA. [ DOI : 10.1016/j.cad.2013.08.014 ]
https://hal.inria.fr/hal-00847802 -
5L. Busé, J.-P. Jouanolou.
On the discriminant scheme of homogeneous polynomials, in: Mathematics in Computer Science, June 2014, vol. 8, no 2, pp. 175-234, arXiv reference : arXiv:1210.4697. [ DOI : 10.1007/s11786-014-0188-7 ]
https://hal.inria.fr/hal-00747930 -
6A. Galligo, C. D'Andrea, M. Sombra.
Quantitative Equidistribution for the Solutions of Systems of Sparse Polynomial Equations, in: American Journal of Mathematics, 2014.
https://hal.inria.fr/hal-00918250 -
7B. Mourrain.
On the dimension of spline spaces on planar T-meshes, in: Mathematics of Computation, March 2014, vol. 83, pp. 847-871.
https://hal.inria.fr/inria-00533187 -
8B. Mourrain, N. Villamizar.
Bounds on the dimension of trivariate spline spaces: A homological approach, in: Mathematics in Computer Science, June 2014, vol. 8, no 2, pp. 157-174. [ DOI : 10.1007/s11786-014-0187-8 ]
https://hal.inria.fr/hal-00879100 -
9E. Musso, E. Hubert.
Lagrangian Curves in Affine Symplectic 4-space, in: Acta Applicandae Mathematicae, December 2014, vol. 134, no 1, pp. 133-160.
https://hal.inria.fr/hal-00818823 -
10G. Xu, B. Mourrain, A. Galligo, T. Rabczuk.
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods, in: Computational Mechanics, November 2014, vol. 54, no 5, pp. 1303-1313. [ DOI : 10.1007/s00466-014-1060-y ]
https://hal.archives-ouvertes.fr/hal-00922544
International Conferences with Proceedings
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11B. Mourrain, P. Trebuchet.
Toric Border Basis, in: Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation (ISSAC), Kobe, Japan, ACM New York, NY, USA, July 2014, pp. 343-350. [ DOI : 10.1145/2608628.2608652 ]
https://hal.inria.fr/hal-00994683
Other Publications
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12M. Abril Bucero, B. Mourrain.
Border Basis relaxation for polynomial optimization, June 2014.
https://hal.inria.fr/hal-00981546 -
13M. Abril Bucero, B. Mourrain.
Exact relaxation for polynomial optimization on semi-algebraic sets, July 2014.
https://hal.inria.fr/hal-00846977 -
14L. Busé, A. Karasoulou.
Resultant of an equivariant polynomial system with respect to the symmetric group, July 2014.
https://hal.inria.fr/hal-01022345 -
15I. Emiris, B. Mourrain, E. Tsigaridas.
Separation bounds for polynomial systems, January 2015.
https://hal.inria.fr/hal-01105276 -
16J. D. Hauenstein, B. Mourrain, A. Szanto.
Certifying isolated singular points and their multiplicity structure, January 2015.
https://hal.inria.fr/hal-01107541 -
17B. Mourrain, K. Schmüdgen.
Flat extensions in ∗-algebras, June 2014.
https://hal.inria.fr/hal-01009909 -
18M. Wu, B. Mourrain, A. Galligo, B. Nkonga.
Spline Spaces over Quadrangle Meshes with Complex Topologies, February 2014.
https://hal.inria.fr/hal-00952455