Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

• 1M. Abril Bucero, B. Mourrain.
  
  Border Basis relaxation for polynomial optimization, in: Journal of Symbolic Computation, August 2015, vol. 74, pp. 378-399. [ DOI : 10.1016/j.jsc.2015.08.004 ]
  
  https://hal.inria.fr/hal-00981546
• 2M. Collowald, A. Cuyt, E. Hubert, W.-S. Lee, O. Salazar Celis.
  
  Numerical Reconstruction of Convex Polytopes from Directional Moments, in: Advances in Computational Mathematics, December 2015, vol. 41, n^o 6, 21 p. [ DOI : 10.1007/s10444-014-9401-0 ]
  
  https://hal.inria.fr/hal-00926357

International Conferences with Proceedings

• 3D. Clamond, D. Dutykh, A. Galligo.
  
  Computer Algebra Applied to a Solitary Waves Study, in: ISSAC'2015, Bath, United Kingdom, ACM, July 2015. [ DOI : 10.1145/2755996.2756659 ]
  
  https://hal.inria.fr/hal-01255412
• 4J. D. Hauenstein, B. Mourrain, A. Szanto.
  
  Certifying isolated singular points and their multiplicity structure, in: ISSAC'15, Bath, United Kingdom, ACM, July 2015, pp. 213-220. [ DOI : 10.1145/2755996.2756645 ]
  
  https://hal.inria.fr/hal-01107541

Other Publications

• 5M. Abril Bucero, C. Bajaj, B. Mourrain.
  
  On the construction of general cubature formula by flat extensions, January 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01158099
• 6A. Bernardi, N. S. Daleo, J. D. Hauenstein, B. Mourrain.
  
  Tensor decomposition and homotopy continuation, January 2016, working paper or preprint.
  
  https://hal.inria.fr/hal-01250398
• 7M. Collowald, E. Hubert.
  
  A moment matrix approach to computing symmetric cubatures, November 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01188290
• 8I. Emiris, B. Mourrain, E. Tsigaridas.
  
  Separation bounds for polynomial systems, December 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01105276
• 9J. D. Hauenstein, B. Mourrain, A. Szanto.
  
  On deflation and multiplicity structure, January 2016, working paper or preprint.
  
  https://hal.inria.fr/hal-01250388
• 10E. Hubert.
  
  Invariantization and Polynomial Systems with Symmetry, January 2016, working paper or preprint.
  
  https://hal.inria.fr/hal-01254954
• 11B. Mourrain, R. Vidunas, N. Villamizar.
  
  Geometrically continuous splines for surfaces of arbitrary topology, August 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01196996
• 12M. Wu, B. Mourrain, A. Galligo, B. Nkonga.
  
  Bicubic Spline spaces over rectangular meshes with arbitrary topologies, November 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01196428
• 13M. Wu, B. Mourrain, A. Galligo, B. Nkonga.
  
  H 1 -parameterizations of plane physical domains with complex topology in Isogeometric analysis, November 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01196435

References in notes

• 14E. Hubert, I. Kogan.
  
  Rational Invariants of a Group Action. Construction and Rewriting, in: Journal of Symbolic Computation, 2007, vol. 42, n^o 1-2, pp. 203-217. [ DOI : 10.1016/j.jsc.2006.03.005 ]
  
  https://hal.inria.fr/inria-00198847