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Technische Universität München
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Moment matrices, border bases and real radical computation
Jean-Bernard Lasserre
,
Monique Laurent
,
Bernard Mourrain
,
Philipp Rostalski
,
Philippe Trébuchet
Journal Symbolic Computation
51
, 2013, pp. 63-85
Homological techniques for the analysis of the dimension of triangular spline spaces
Bernard Mourrain
,
Nelly Villamizar
Journal Symbolic Computation
50
, 2013, pp. 564-577
On the isotopic meshing of an algebraic implicit surface
Daouda Niang Diatta
,
Bernard Mourrain
,
Olivier Ruatta
Journal Symbolic Computation
47
(8), 2012, pp. 903-925
On the computation of matrices of traces and radicals of ideals
Itnuit Janovitz-Freireich
,
Bernard Mourrain
,
Lajos Rónyai
,
Ágnes Szántó
Journal Symbolic Computation
47
(1), 2012, pp. 102-122
Border basis representation of a general quotient algebra
Bernard Mourrain
,
Philippe Trébuchet
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, ISSAC'2012 (Grenoble, France, July 22-25, 2012)
, 2012, pp. 265-272
Multihomogeneous polynomial decomposition using moment matrices
Alessandra Bernardi
,
Jérôme Brachat
,
Pierre Comon
,
Bernard Mourrain
Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, ISSAC'2011 (San Jose, CA, USA, June 8-11, 2011)
, 2011, pp. 35-42
A subdivision method for computing nearest gcd with certification
Guillaume Chèze
,
André Galligo
,
Bernard Mourrain
,
Jean-Claude Yakoubsohn
Theoretical Computer Science
412
(35), 2011, pp. 4493-4503
On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers
Angelos Mantzaflaris
,
Bernard Mourrain
,
Elias Tsigaridas
Theoretical Computer Science
412
(22), 2011, pp. 2312-2330
Deflation and certified isolation of singular zeros of polynomial systems
Angelos Mantzaflaris
,
Bernard Mourrain
Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, ISSAC'2011 (San Jose, CA, USA, June 8-11, 2011)
, 2011, pp. 249-256
The DMM bound: Multivariate (aggregate) separation bounds
Ioannis Z. Emiris
,
Bernard Mourrain
,
Elias P. Tsigaridas
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, ISSAC'2010 (Technische Universität München, Munich, Germany, July 25-28, 2010)
, 2010, pp. 243-250
Isotopic triangulation of a real algebraic surface
Lionel Alberti
,
Bernard Mourrain
,
Jean-Pierre Técourt
Journal Symbolic Computation
44
(9), 2009, pp. 1291-1310
On the computation of the topology of a non-reduced implicit space curve
Diatta Niang Daouda
,
Bernard Mourrain
,
Olivier Ruatta
Proceedings of the 2008 International Symposium on Symbolic and Algebraic Computation, ISSAC'2008 (Hagenberg, Austria, July 20-23, 2008)
, 2008, pp. 47-54
Moment matrices, trace matrices and the radical of ideals
Itnuit Janovitz-Freireich
,
Agnes Szántó
,
Bernard Mourrain
,
Lajos Rónyai
Proceedings of the 2008 International Symposium on Symbolic and Algebraic Computation, ISSAC'2008 (Hagenberg, Austria, July 20-23, 2008)
, 2008, pp. 125-132
Stable normal forms for polynomial system solving
Bernard Mourrain
,
Philippe Trébuchet
Theoretical Computer Science
409
(2), 2008, pp. 229-240
Resultant-based methods for plane curves intersection problems
Laurent Busé
,
Houssam Khalil
,
Bernard Mourrain
Lecture Notes in Computer Science
3718
, 2005, pp. 75-92
Generalized normal forms and polynomial system solving
Bernard Mourrain
,
Philippe Trebuchet
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ISSAC'2005 (Beijing, China, July 24-27, 2005)
, 2004, pp. 253-260
Relations between roots and coefficients, interpolation and application to system solving
Bernard Mourrain
,
Olivier Ruatta
Journal Symbolic Computation
33
(5), 2002, pp. 679-699
On solutions of linear functional systems
Sergei A. Abramov
,
Manuel Bronstein
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 1-6
Minimal decomposition of indefinite hypergeometric sums
Sergei A. Abramov
,
M. Petkovsek
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 7-14
On the Barnes function
V.S. Adamchik
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 15-20
Generic ideals and Moreno-Socías conjecture
Edith Aguirre
,
Abdul Salam Jarrah
,
Reinhard Laubenbacher
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 21-23
Maple's evaluation process as constraint contextual rewriting
Alessandro Armando
,
Clemens Ballarin
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 32-37
PARDI!
François Boulier
,
François Lemaire
,
Marc Moreno Maza
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 38-47
Residual resultant over the projective plane and implicitization problem
Laurent Busé
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 48-55
Families of estimable terms
Massimo Caboara
,
Lorenzo Robbiano
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 56-63
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