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Bibliography

Major publications by the team in recent years
  • 1L. Busé, M. Elkadi, B. Mourrain.

    Resultant over the residual of a complete intersection, in: J. of Pure and Applied Algebra, 2001, vol. 164, pp. 35-57.
  • 2L. Busé, M. Elkadi, B. Mourrain.

    Using projection operators in computer aided geometric design, in: Topics in algebraic geometry and geometric modeling, Providence, RI, Contemp. Math., Amer. Math. Soc., 2003, vol. 334, pp. 321–342.
  • 3M. Elkadi, B. Mourrain.

    Algorithms for residues and Lojasiewicz exponents, in: J. of Pure and Applied Algebra, 2000, vol. 153, pp. 27-44.
  • 4M. Elkadi, B. Mourrain.

    Introduction à la résolution des systèmes polynomiaux, Mathématiques et Applications, Springer, 2007, vol. 59, 307 p.
  • 5Ioannis Z. Emiris, A. Galligo, H. Lombardi.

    Certified approximate univariate GCDs, in: J. Pure & Applied Algebra, Special Issue on Algorithms for Algebra, May 1997, vol. 117 & 118, pp. 229–251.
  • 6Ioannis Z. Emiris, B. Mourrain.

    Matrices in elimination theory, in: J. Symbolic Computation, Special Issue on Elimination, 1999, vol. 28, pp. 3–44.
  • 7A. Galligo, M. van Hoeij.

    Approximate bivariate factorization: a geometric viewpoint, in: SNC '07: Proceedings of the 2007 International Workshop on Symbolic-Numeric Computation, New York, NY, USA, ACM, 2007, pp. 1–10.
  • 8E. Hubert.

    Differential invariants of a Lie group action: syzygies on a generating set, in: Journal of Symbolic Computation, 2009, vol. 44, no 4, pp. 382-416. [ DOI : 10.1016/j.jsc.2008.08.003 ]

    http://hal.inria.fr/inria-00178189/en
  • 9E. Hubert, I. Kogan.

    Rational Invariants of a Group Action. Construction and Rewriting, in: Journal of Symbolic Computation, 2007, vol. 42, no 1-2, pp. 203-217. [ DOI : 10.1016/j.jsc.2006.03.005 ]

    http://hal.inria.fr/inria-00198847/en
  • 10B. Mourrain, V. Y. Pan.

    Multivariate polynomials, duality and structured Matrices, in: J. of Complexity, 2000, vol. 16, no 1, pp. 110-180.
Publications of the year

Articles in International Peer-Reviewed Journals

  • 11E. Ballico, A. Bernardi, M. V. Catalisano, L. Chiantini.

    Grassmann secants and linear systems of tensors, in: Linear Algebra and its Applications, 2013, pp. 121-135. [ DOI : 10.1016/j.laa.2012.07.045 ]

    http://hal.inria.fr/inria-00637780
  • 12D. 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 ]

    http://hal.inria.fr/hal-00876557
  • 13A. Bernardi, J. Brachat, P. Comon, B. Mourrain.

    General Tensor Decomposition, Moment Matrices and Applications, in: Journal of Symbolic Computation, May 2013, vol. 52, no May, pp. 51-71. [ DOI : 10.1016/j.jsc.2012.05.012 ]

    http://hal.inria.fr/inria-00590965
  • 14A. Bernardi, K. Ranestad.

    On the cactus rank of cubic forms, in: Journal of Symbolic Computation, 2013, pp. 291-297. [ DOI : 10.1016/j.jsc.2012.08.001 ]

    http://hal.inria.fr/inria-00630456
  • 15L. 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 ]

    http://hal.inria.fr/hal-00847802
  • 16I. Z. Emiris, A. Mantzaflaris, B. Mourrain.

    Voronoi Diagrams of Algebraic Distance Fields, in: Computer Aided Design, February 2013, vol. 45, no 2, pp. 511-516. [ DOI : 10.1016/j.cad.2012.10.043 ]

    http://hal.inria.fr/hal-00722406
  • 17A. Galligo, C. D'Andrea, M. Sombra.

    Quantitative Equidistribution for the Solutions of Systems of Sparse Polynomial Equations, in: American Journal of Mathematics, 2014.

    http://hal.inria.fr/hal-00918250
  • 18A. Galligo.

    Budan Tables of Real Univariate Polynomials, in: Journal of Symbolic Computation, 2013, vol. 53, pp. 64-80. [ DOI : 10.1016/j.jsc.2012.11.004 ]

    http://hal.inria.fr/hal-00653756
  • 19A. Galligo.

    Deformation of Roots of Polynomials via Fractional Derivatives, in: Journal of Symbolic Computation, April 2013, vol. 52, pp. 35-50. [ DOI : 10.1016/j.jsc.2012.05.011 ]

    http://hal.inria.fr/hal-00653770
  • 20A. Ghosh, E. Tsigaridas, B. Mourrain, R. Deriche.

    A polynomial approach for extracting the extrema of a spherical function and its application in diffusion MRI, in: Medical Image Analysis, July 2013, vol. 17, no 5, pp. 503-514. [ DOI : 10.1016/j.media.2013.03.004 ]

    http://hal.inria.fr/hal-00815120
  • 21E. Hubert, G. Labahn.

    Scaling Invariants and Symmetry Reduction of Dynamical Systems, in: Foundations of Computational Mathematics, 2013, vol. 13, no 4, pp. 479-516. [ DOI : 10.1007/s10208-013-9165-9 ]

    http://hal.inria.fr/hal-00668882
  • 22H. Khalil, B. Mourrain, M. Schatzman.

    Superfast solution of Toeplitz systems based on syzygy reduction, in: Linear Algebra and its Applications, May 2013, vol. 438, no 9, pp. 3563-3575. [ DOI : 10.1016/j.laa.2013.01.015 ]

    http://hal.inria.fr/hal-00780556
  • 23J.-B. Lasserre, M. Laurent, B. Mourrain, P. Rostalski, P. Trébuchet.

    Moment Matrices, Border Basis and Real Radical Computation, in: Journal of Symbolic Computation, April 2013, vol. 51, pp. 63-85. [ DOI : 10.1016/j.jsc.2012.03.007 ]

    http://hal.inria.fr/hal-00651759
  • 24B. Mourrain, N. Villamizar.

    Homological techniques for the analysis of the dimension of triangular spline spaces, in: Journal of Symbolic Computation, March 2013, vol. 50, pp. 564-577. [ DOI : 10.1016/j.jsc.2012.10.002 ]

    http://hal.inria.fr/hal-00742636
  • 25G. Xu, B. Mourrain, R. Duvigneau, A. Galligo.

    Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications, in: Computer-Aided Design, February 2013, vol. 45, no 2, pp. 395-404. [ DOI : 10.1016/j.cad.2012.10.022 ]

    http://hal.inria.fr/hal-00685002
  • 26G. Xu, B. Mourrain, R. Duvigneau, A. Galligo.

    Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method, in: Journal of Computational Physics, November 2013, vol. 252, pp. 275-289. [ DOI : 10.1016/j.jcp.2013.06.029 ]

    http://hal.inria.fr/hal-00836413
  • 27G. Xu, B. Mourrain, R. Duvigneau, A. Galligo.

    Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis, in: Computer-Aided Design, April 2013, vol. 45, no 4. [ DOI : 10.1016/j.cad.2011.05.007 ]

    http://hal.inria.fr/inria-00539616

Invited Conferences

  • 28E. Hubert.

    Rational Invariants of a Group Action, in: Journees Nationales de Calcul Formel, Marseille, France, P. Boito, G. Chèze, C. Pernet, M. Safey El Din (editors), Les cours du CIRM, CEDRAM - Center for Diffusion of Academic Mathematical Journals, 2013, vol. 3, 10 p.

    http://hal.inria.fr/hal-00839283

International Conferences with Proceedings

  • 29X. Alameda-Pineda, R. Horaud, B. Mourrain.

    The Geometry of Sound-Source Localization using Non-Coplanar microphone Arrays, in: WASPAA 2013 - IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, United States, October 2013.

    http://hal.inria.fr/hal-00848876
  • 30L. Blanchard, E. Berrini, R. Duvigneau, Y. Roux, B. Mourrain, E. Jean.

    Bulbous Bow Shape Optimization, in: 5th International Conference on Computational Methods in Marine Engineering, Hamburg, Germany, May 2013.

    http://hal.inria.fr/hal-00873272

Other Publications



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