PUBLICATIONS

  1. S. Hahmann, A. Belyaev, L. Busé, G. Elber, B. Mourrain, and C. Roessl,
    ``Shape Interrogation - A State of the Art,'', 2007
    to appear in {\em Shape analysis and structuring}, De Floriani, L. and Spagnuolo, M. (ed.), Springer Verlag.

  2. B. Mourrain,
    ``Pythagore's dilemma, Symbolic-Numeric Computation and the Border Basis Method,'', 2006
    to appear in {\em Symbolic-Numeric Computation}, {Wang, Dongming and Zhi, Li-Hon} (ed.), Birkh{\"a}user.

  3. J.D. Boissonnat, D. Cohen-Steiner, B. Mourrain, G. Rote, and G. Vegter,
    ``Meshing of Surfaces,'', pp. 459--478
    Mathematics and Visualisation. Springer-Verlag, 2006.

  4. B. Mourrain, S. Pion, S. Schmitt, J.P. Técourt, E. Tsigaridas, and Wolpert N.,
    ``Algebraic Issues in Computational Geometry,'', pp. 459--478
    Mathematics and Visualisation. Springer-Verlag, 2006.

  5. M. Elkadi, B. Mourrain, and R. Piene, editors,
    ``Algebraic Geometry and Geometric Modeling,''
    Mathematics of Visualisation. Springer, 2006.

  6. M. Elkadi and B. Mourrain,
    ``Introduction à la résolution des systèmes d'équations algébriques,'', 2006
    to appear,{59, Mathématiques et Applications, Springer-Verlag}.

  7. Chen Liang, B. Mourrain, and J.P. Pavone,
    ``Subdivision methods for 2d and 3d implicit curves,''
    In Computational Methods for Algebraic Spline Surfaces. Springer-Verlag, 2006
    To appear.

  8. Ioannis Z. Emiris, Bernard Mourrain, and Elias P. Tsigaridas,
    ``Real Algebraic Numbers: Complexity Analysis and Experimentations,''
    Research Report 5897, INRIA, Avril 2006.

  9. B. Mourrain, N.G. Pavlidis, D.K. Tasoulis, and M. Vrahatis,
    ``Determining the Number of Real Roots of Polynomials through Neural Networks,''
    Computers and Mathematics with Applications, 39:527--536, 2006.

  10. B. Mourrain,
    ``Les logiciels libres comme publication scientifique d'un nouveau type,'', 2005
    Gazette des Mathématiciens, SMF.

  11. L. Busé, H. Khalil, and B. Mourrain,
    ``Resultant-Based Method for Plane Curves Intersection Problems,''
    In Proc.\ of the conf. Computer Algebra in Scientifc Computing, volume 3718 of LNCS, pp. 75-92. Springer, 2005.

  12. B. Mourrain and J.-P. Pavone,
    ``Subdivision methods for solving polynomial equations,''
    Technical Report 5658, {INRIA} Sophia-Antipolis, 2005.

  13. B. Mourrain and Ph. Trébuchet,
    ``Generalised normal forms and polynomial system solving,''
    In M. Kauers, editor, Proc.\ Intern.\ Symp.\ on Symbolic and Algebraic Computation, pp. 253-260. New-York, ACM Press., 2005.

  14. B. Mourrain and J.-P. Técourt,
    ``Computing the Topology of Real Algebraic Surface,''
    In MEGA electronic proceedings, 2005.

  15. B. Mourrain, F. Rouillier, and M.-F. Roy,
    ``Bernstein's basis and real root isolation,'', pp. 459--478
    Mathematical Sciences Research Institute Publications. Cambridge University Press, 2005.

  16. B. Mourrain,
    ``Bezoutian and quotient ring structure,''
    J. of Symbolic Comput., 39:397-415, 2005.

  17. L. Alberti, G. Comte, and B. Mourrain,
    ``Meshing implicit algebraic surfaces: the smooth case,''
    In L.L. Schumaker M. Maehlen, K. Morken, editor, Mathematical Methods for Curves and Surfaces: Tromso'04, pp. 11-26. Nashboro, 2005.

  18. B. Mourrain, J.-P. Técourt, and M. Teillaud,
    ``On the computation of an arrangement of quadrics in 3D,''
    Computational Geometry; Theory and Applications, 30:145-164, 2005.

  19. B. Mourrain and J.P.. Técourt,
    ``Isotopic meshing of a real algebraic surface,''
    Technical Report 5508, {INRIA} Sophia-Antipolis, 2005.

  20. B. Mourrain and Ph. Trébuchet,
    ``Generalised normal forms and polynomial system solving,''
    Technical Report 5471, {INRIA} Sophia-Antipolis, 2005.

  21. M. Elkadi and B. Mourrain,
    ``Symbolic-n% umeric tools for solving polynomial equations and applications,'', volume 14 of Algorithms and Computation in Mathematics, pp. 125-168
    Springer, 2005.

  22. Franck Aries, B. Mourrain, and J.-P. Técourt,
    ``Quadratically Parametrized Surfaces: Algorithms and Applications,''
    In Geometric Modeling and Computing: Seattle, pp. 1-20. Nashboro Press, 2004.

  23. B. Mourrain, J.-P. Técourt, and M. Teillaud,
    ``On the computation of an arrangement of quadrics in 3D,''
    Comput. Geom. Theory Appl., (30):145--164, 2005
    Special issue, 19th European Workshop on Computational Geometry, Bonn.

  24. G. Gatellier, A. Labrouzy, B. Mourrain, and J.-P. Técourt,
    ``Computing the topology of 3-dimensional algebraic curves,''
    In Computational Methods for Algebraic Spline Surfaces, pp. 27-44. Springer-Verlag, 2005.

  25. L. Alberti, G. Comte, and B. Mourrain,
    ``Meshing implicit algebraic surfaces: the smooth case,''
    Technical Report 5405, {INRIA} Sophia-Antipolis, 2004.

  26. G. Gatellier, A. Labrouzy, B. Mourrain, and J.P. Técourt,
    ``Computing the toplogy of three dimensional algebaric curves,''
    Technical Report 5194, {INRIA} Sophia-Antipolis, 2004.

  27. B. Mourrain, F. Rouillier, and M.-F. Roy,
    ``Bernstein's basis and real root isolation,''
    Technical Report 5149, {INRIA} Rocquencourt, 2004
    Submitted for journal publication.

  28. M. Elkadi and B. Mourrain,
    ``Residue and implicitization problem for rational surfaces,''
    Appl. Algebra Eng. Comm. Comput., 14(5), 2004.

  29. Ioannis Z. Emiris, Bernard Mourrain, and Victor Y. Pan,
    ``Guest editors of the special Issue Algebraic and numerical algorithms,''
    Theoret. Comput. Sci., 315(2-3):307--308, 2004.

  30. B. Mourrain,
    ``Bezoutian and quotient ring structure,''
    In MEGA electronic prooceedings, 2003.

  31. Laurent Busé, Lionel Deschamps, André Galligo, and Bernard Mourrain,
    ``On convertion methods between different representations of surfaces,''
    Technical Report ECG-TR-302109-01, {INRIA} Sophia-Antipolis, 2003.

  32. Bernard Mourrain, Jean-Pierre Técourt, and Dimitri Zinoviev,
    ``Computing robustly the intersection of two algebraically defined surfaces,''
    Technical Report ECG-TR-242108-01, {INRIA} Sophia-Antipolis, 2003.

  33. Gabriel Dos Reis, Bernard Mourrain, and Jean-Pierre Tecourt,
    ``On the Representations of 3D surfaces,''
    Technical Report ECG-TR-242106-01, {INRIA} Sophia-Antipolis, 2003.

  34. Bernard Mourrain, Jean-Pierre Técourt, and Monique Teillaud,
    ``Predicates for the Sweeping of an Arrangement of Quadrics in 3D,''
    Technical Report ECG-TR-242205-01, {INRIA} Sophia-Antipolis, 2003.

  35. Olivier Devillers, Bernard Mourrain, Franco P. Preparata, and Philippe Trebuchet,
    ``Circular Cylinders by Four or Five Points in Space,''
    Discrete and Computational Geometry, 29:83--104, 2003.

  36. L. Busé, M. Elkadi, and B. Mourrain,
    ``Using projection operators in Computer Aided Geometric Design,''
    In Topics in Algebraic Geometry and Geometric Modeling,, pp. 321-342. Contemporary Mathematics, 2003.

  37. B. Mourrain, Y. V. Pan, and O. Ruatta,
    ``Accelerated solution of multivariate polynomial systems of equations,''
    SIAM J. Comput., 32(2):435--454, 2003.

  38. I. Emiris, B. Mourrain, and Y. V. Pan,
    ``Ed. of the special issue on Algebraic and Numerical Algorithms,''
    volume 315 of Theoretical Computer Science. 2004.

  39. Bernard Mourrain, Jean-Pierre Técourt, and Dimitri Zinoviev,
    ``Computing robustly the intersection of two algebraically defined surfaces,''
    Technical Report ECG-TR-242108-01, {INRIA} Sophia-Antipolis, 2003.

  40. B. Mourrain, J.P. Técourt, and M. Teillaud,
    ``Algebraic methods for dealing with 3D implicit quadrics,''
    Technical Report ECG-TR-182105-02, INRIA Sophia-Antipolis, 2002.

  41. J.C. Faugère, B. Mourrain, and F. Rouillier,
    ``Outils de calcul symbolique numérique collaboratif,'', septembre 2002
    CDROM contenant les supports de cours et des logiciels pour le calcul linéaire, algébrique, symbolique et numérique (cgal, gb, giac, givaro, gmp, linbox, mpfr, mupad, ntl, pari, rs, synaps, texmacs, scilab, udx).

  42. B. Mourrain and Ph. Trébuchet,
    ``Algebraic methods for numerical solving,''
    Technical Report ECG-TR-122102-02, INRIA Sophia-Antipolis, 2002.

  43. G. Dos Reis, B. Mourrain, F. Rouillier, and Ph. Trébuchet,
    ``An environment for Symbolic and Numeric Computation,''
    Technical Report ECG-TR-122102-03, INRIA Sophia-Antipolis, 2002.

  44. B. Mourrain, M.N. Vrahatis, and J.C. Yakoubsohn,
    ``On the complexity of isolating real roots and computing with certainty the topological degree,''
    Technical Report ECG-TR-122102-04, INRIA Sophia-Antipolis, 2002.

  45. B. Mourrain,
    ``An introduction to algebraic and geometric methods for solving polynomial equations,''
    Technical Report ECG-TR-122102-01, INRIA Sophia-Antipolis, 2002.

  46. B. Mourrain and Ph. Trébuchet,
    ``Algebraic methods for numerical solving,''
    Analele Universitatii di Timisoara, XXXIX:149--169, 2001.

  47. B. Mourrain and Ph. Trébuchet,
    ``Algebraic methods for numerical solving,''
    In Proc. of the 3rd International Workshop on Symbolic and Numeric Algorithms for Scientific Computing'01 (Timisoara, Romania), pp. 42-57, 2002.

  48. G. Dos Reis, B. Mourrain, R. Rouillier, and Ph. Trébuchet,
    ``An environment for Symbolic and Numeric Computation,''
    In Proc. of the International Conference on Mathematical Software 2002, World Scientific, pp. 239--249, 2002.

  49. B. Mourrain and O. Ruatta,
    ``Relation between roots and coefficients, interpolation and application to system solving,''
    J. of Symbolic Computation, 33(5):679-699, 2002.

  50. B. Mourrain, Y. V. Pan, and O. Ruatta,
    ``Asymptotic acceleration of solving multivariate polynomial systems of equations,''
    In Proceedings of Smale fest 2000, Foundations of Computational Mathematics, pp. 267-294. World Scientific, NewJersey, London, Singapore, Hong Kong, 2002.

  51. B. Mourrain, M. Vrahatis, and J.C. Yakoubsohn,
    ``On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree,''
    J. of Complexity, 18(2):612--640, 2002.

  52. B. Mourrain,
    ``An introduction to algebraic methods for solving polynomial equations,'', 2000
    Tutorial.

  53. O. Devillers, A. Fronville, B. Mourrain, and M. Teillaud,
    ``Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs,''
    Computational Geometry: Theory and Applications, 22:119--142, 2002.

  54. O. Grellier, P. Comon, B. Mourrain, and Ph. Trébuchet,
    ``Analytical Blind Channel Identification,''
    IEEE Trans. on Signal Processing, 50(9):2196--2207, 2002.

  55. B. Mourrain,
    ``Ed. of the proc.\ Intern.\ Symp.\ on Symbolic and Algebraic Computation, Univ. Western Ontario, Canada,''
    New-York, ACM Press., 2001.

  56. D. Bondyfalat, B. Mourrain, and T. Papadopoulo,
    ``Using Scene Constraints during the Calibration Procedure,''
    volume 2, pp. 124--130. IEEE Computer Society Press., 2001.

  57. B. Mourrain, M. Vrahatis, and J.C. Yakoubsohn,
    ``Isolation of real roots and computation of the topological degree,''
    Rapport de Recherche 4300, INRIA, Octobre 2001.

  58. O. Devillers, B. Mourrain, F. Preparata, and Ph. Trébuchet,
    ``On circular cylinders by four or five points in space,''
    Rapport de Recherche 4195, INRIA, 2001.

  59. Y.J. Choie, B. Mourrain, and P. Solé,
    ``Rankin Cohen brackets and Invariant Theory,''
    J. of Algebraic Combinatorics, 13(1):5-13, Jan. 2001.

  60. L. Busé, M. Elkadi, and B. Mourrain,
    ``Resultant over the residual of a complete intersection,''
    J. of Pure and Applied Algebra, 164:35-57, 2001.

  61. I.Z. Emiris, B. Mourrain, V.P. Plagianakos, and M.N. Vrahatis,
    ``Sign Methods for Enumerating Solutions of Nonlinear Algebraic Systems,''
    In Hellenic European Conf.\ Computer Math.\ \& Appl., pp. 469--473, Athens, Greece, September 2001.

  62. B. Mourrain and H. Prieto,
    ``A framework for Symbolic and Numeric Computations,''
    Rapport de Recherche 4013, INRIA, 2000.

  63. B. Mourrain and Ph. Trébuchet,
    ``Solving projective complete intersection faster,''
    In C. Traverso, editor, Proc.\ Intern.\ Symp.\ on Symbolic and Algebraic Computation, pp. 231-238. New-York, ACM Press., 2000.

  64. A. Fronville, O. Devillers, M. Teillaud, and B. Mourrain,
    ``Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs,''
    In Proc. 16th ACM Symp. on Comp. Geometry, Hong Kong, Chine, 2000.

  65. L. Busé, M. Elkadi, and B. Mourrain,
    ``Generalized resultant over unirational algebraic varieties,''
    J. of Symbolic Computation, 29:515-526, 2000.

  66. D. Bondyfalat, B. Mourrain, and V. Y. Pan,
    ``Computation of a specified root of a polynomials system of equations using eigenvector,''
    Lin. Alg. and its Appl., 319:193-209, 2000.

  67. M. Elkadi and B. Mourrain,
    ``Algorithms for residues and Lojasiewicz exponents,''
    J. of Pure and Applied Algebra, 153:27-44, 2000.

  68. H. Hirukawa, B.Mourrain, and Y. Papegay,
    ``A Symbolic-Numeric Silhouette Algorithm,''
    In Proceedings of 2000 IEEE International conference on RObotics Systems. IEEE Robotics Society, 2000.

  69. A. Fronville, O. Devillers, M. Teillaud, and B. Mourrain,
    ``Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs,''
    Rapport de Recherche 3826, INRIA, 1999.

  70. I.Z. Emiris, B. Mourrain, V.P. Plagianakos, and M.N. Vrahatis,
    ``Robust Methods for Counting, Localizing and Computing with Certainty Simple Zeros of Analytic Functions,''
    In Proc. 5th Intern. Symp. Orthogonal Polyn., Spec. Functions \& Appl., Patras, Greece, 1999
    toappear.

  71. D. Bondyfalat, B. Mourrain, and T. Papadopoulo,
    ``An Application of Automatic Theorem Proving in Computer Vision,''
    In X.-S. Gao, D. Wang, and L. Yang, editors, Automated Deduction in Geometry, number 1669 in LNAI, pp. 207-231. Springer-Verlag, Berlin Heidelberg, 1999.

  72. I.Z. Emiris, B. Mourrain, and M.N. Vrahatis,
    ``Sign Methods for Counting and Computing Real Roots of Algebraic Systems,''
    Rapport de Recherche 3669, INRIA, 1999.

  73. M. Elkadi and B. Mourrain,
    ``A new algorithm for the geometric decomposition of a variety,''
    In S. Dooley, editor, Proc. Intern. Symp. on Symbolic and Algebraic Computation, pp. 9-16. ACM Press, New-York, 1999.

  74. B. Mourrain and V. Y. Pan,
    ``Multivariate Polynomials, Duality and Structured Matrices,''
    J. of Complexity, 16(1):110-180, 2000.

  75. B. Mourrain and V. Y. Pan,
    ``Lifting/descending processes for polynomial zeros,''
    J. of Complexity, 16:265-273, 2000.

  76. B. Mourrain,
    ``A new criterion for normal form algorithms,''
    In M. Fossorier, H. Imai, Shu Lin, and A. Poli, editors, Proc. AAECC, volume 1719 of LNCS, pp. 430-443. Springer, Berlin, 1999.

  77. A. Bonnecaze, B. Mourrain, and P. Solé,
    ``Jacobi Polynomials, Type II codes, and designs,''
    Designs, Codes and Cryptography, 16:215-234, 1999.

  78. I.Z. Emiris and B. Mourrain,
    ``Computer Algebra Methods for Studying and Computing Molecular Conformations,''
    Algorithmica, Special Issue on Algorithms for Computational Biology, 25:372--402, 1999.

  79. I.Z. Emiris and B. Mourrain,
    ``Matrices in Elimination Theory,''
    J. of Symbolic Computation, 28(1\&2):3-44, 1999.

  80. P. Comon, O. Grellier, and B. Mourrain,
    ``Blind Channel Identification with MSK inputs,''
    In Asilomar Conference, Pacific Grove, California, November 1-4 1998
    Invited session.

  81. B. Mourrain,
    ``An introduction to linear algebra methods for solving polynomial equations,''
    In E.A. Lipitakis, editor, HERCMA'98, pp. 179-200, 1999.

  82. M. Elkadi and B. Mourrain,
    ``Some applications of Bezoutians in Effective Algebraic Geometry,''
    Rapport de Recherche 3572, INRIA, Sophia Antipolis, 1998.

  83. B. Mourrain and V. Y. Pan,
    ``Asymptotic Acceleration of Solving Multivariate Polynomial Systems of Equations,''
    In Proc. STOC, pp. 488-496. ACM Press., 1998.

  84. D. Bondyfalat, B. Mourrain, and V. Y. Pan,
    ``Controlled iterative methods for solving polynomial systems,''
    In O. Gloor, editor, Proc.\ Intern.\ Symp.\ on Symbolic and Algebraic Computation, pp. 252-259. NewYork, ACM Press., 1998.

  85. B. Mourrain,
    ``Computing isolated polynomial roots by matrix methods,''
    J. of Symbolic Computation, Special Issue on Symbolic-Numeric Algebra for Polynomials, 26(6):715-738, Dec. 1998.

  86. B. Mourrain and V. Y. Pan,
    ``Multivariate Polynomials, Duality and Structured Matrices,''
    Rapport de Recherche 3513, INRIA, 1998.

  87. B. Mourrain,
    ``Algorithmes et Applications en Géométrie Algébrique,''
    PhD thesis, Univ. de Nice, September 1997.

  88. B. Mourrain and Y. Papegay,
    ``Ecole de Printemps de Calcul Formel,'', Avril 1997
    Support de Cours C-172.

  89. B. Mourrain and V. Y. Pan,
    ``Multidimensional structured matrices and polynomial systems,''
    Calcolo, Special Issue for the workshop: Structure, Algorithms and Applications, 33:389-401, 1997.

  90. B. Mourrain and V. Y. Pan,
    ``Solving special polynomial systems by using structured matrices and algebraic residues,''
    In F. Cucker and M. Shub, editors, Foundations of Computational Mathematics (Rio de Janeiro), pp. 287-304. Springer-Verlag, 1997.

  91. I.Z. Emiris and B. Mourrain,
    ``Polynomial system solving; the case of a $6$-atom molecule,''
    Rapport de Recherche 3075, INRIA, Dec. 1996.

  92. M. Elkadi and B. Mourrain,
    ``Approche Effective des Résidus Algébriques,''
    Rapport de Recherche 2884, INRIA, Sophia Antipolis, 1996.

  93. B. Mourrain,
    ``Isolated points, duality and residues,''
    J. of Pure and Applied Algebra, 117 \& 118:469-493, 1996
    Special issue for the Proc. of the 4th Int. Symp. on Effective Methods in Algebraic Geometry (MEGA).

  94. A. Bonnecaze, P. Solé, C. Bachoc, and B. Mourrain,
    ``Type II codes over $Z_4$,''
    IEEE Transactions on Information Theory, 43(3):969-976, 1997.

  95. P. Comon and B. Mourrain,
    ``Decomposition of Quantics in sums of power of linear forms,''
    Signal Processing, 53(2):93-107, 1996
    Special issue on High-Order Statistics.

  96. J.P. Cardinal and B. Mourrain,
    ``Algebraic approach of residues and Applications,''
    In J. Renegar, M. Shub, and S. Smale, editors, Proc. AMS-SIAM Summer Seminar on Math. of Numerical Analysis, (Park City, Utah, 1995), volume 32 of Lectures in Applied Math., pp. 189-210. American Mathematical Society Press, Providence, 1996.

  97. O. Faugeras and B. Mourrain,
    ``On the geometry and Algebra of the point and line correspondences between $N$ images,''
    In Roger Mohr and Chengke Wu, editors, Proceedings of Europe-China Workshop on Geometrical Modeling and Invariants for Computer Vision, pp. 102--109. Xidan University Press, 1995.

  98. B. Mourrain and N. Stolfi,
    ``Applications of Clifford algebra in Robotics,''
    In J.P. Merlet and B. Ravani, editors, Computational Kinematics'95, Solid Mechanics and its aplications, pp. 141-150, Sophia-Antipolis, 1995. Kluwer {A}ca. {P}ub.

  99. C. Garnier, B. Mourrain, and C. Rideau,
    ``Symbolic and Numeric Computation for the Real-Time simulation of a car behavior,''
    In J.P. Merlet and B. Ravani, editors, Computational Kinematics'95, Solid Mechanics and its aplications, pp. 123-132, Sophia-Antipolis, 1995. Kluwer {A}ca. {P}ub.

  100. O. Faugeras and B. Mourrain,
    ``On the geometry and algebra of the point and line correspondences between $N$ images,''
    In ICCV'95, pp. 951--956, 1995.

  101. O. Faugeras and B. Mourrain,
    ``On the geometry and algebra of the point and line correspondences between $N$ images,''
    Rapport de recherche 2665, INRIA, Sophia-Antipolis, 1995.

  102. B. Mourrain,
    ``Enumeration problems in Geometry, Robotics and Vision,''
    In L. Gonz\'alez and T. Recio, editors, Algorithms in Algebraic Geometry and Applications, volume 143 of Prog. in Math., pp. 285-306. Birkh{\"a}user, Basel, 1996.

  103. R. Fournier, N. Kajler, and B. Mourrain,
    ``Visualization of Mathematical Surfaces: the IZIC Server Approach,''
    J. of Symbolic Computations, 19:159-173, 1994.

  104. P. Comon and B. Mourrain,
    ``Decomposition of quantics in sums of powers,''
    In F.T. Luk, editor, Adv. Signal Proc.: Algorithms, Architecures and Implementations, volume 2296, pp. 93-104, San Diego, 1994. SPIE.

  105. B. Mourrain and N. Stolfi,
    ``Invariants methods in Discrete and Computational Geometry,'', chapter Computational Symbolic Geometry, pp. 107-139
    Kluwer Acad. Pub., 1994.

  106. B. Mourrain,
    ``The 40 generic positions of a parallel robot,''
    In M. Bronstein, editor, Proc.\ Intern.\ Symp.\ on Symbolic and Algebraic Computation, ACM press, pp. 173-182, Kiev (Ukraine), July 1993.

  107. B. Mourrain and N. Stolfi,
    ``The Hilbert series of invariants of $Sl_n$,''
    In G. Jacob, N.E. Oussous, and S. Steinberg, editors, IMACS SC'93, pp. 89-96, Lille (France), June 1993.

  108. R. Fournier, N. Kajler, and B. Mourrain,
    ``Izic: a portable language-driven tool for mathematical surfaces visualization,''
    In A. Miola, editor, DISCO'93, volume 722 of LNCS, pp. 341-353, Gmünden (Autriche), September 1993. Springer-Verlag.

  109. B. Mourrain,
    ``About the rationnal map associated to a parallel robot,''
    Rapport de recherche 2141, INRIA, Sophia-Antipolis, 1993.

  110. B. Mourrain,
    ``Computable identities in the algebra of formal matrices,''
    Theoretical Computer Science, 98:115-133, 1992.

  111. B. Mourrain,
    ``New aspects of geometrical calculus with invariants,''
    Advances in Mathematics
    toappear.

  112. B. Mourrain,
    ``Some algebra with formal matrices,''
    In S. Sakata, editor, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 8), volume 504 of LNCS, pp. 234-248. Springer-Verlag, 1991.

  113. B. Mourrain,
    ``Approche effective de la théorie des invariants des groupes classiques,''
    PhD thesis, Ecole Polytechnique, September 1991.

  114. B. Mourrain,
    ``Géométrie et Interprétation Générique ; un Algorithme,''
    In Effective Methods in Algebraic Geometry (MEGA'90), volume 94 of Progress in Math., pp. 363-377, Castiglioncello (Italy), 1991. Birkhäuser.

  115. B. Mourrain,
    ``Identités de Matrices,''
    Notes informelles de calcul formel, Ecole Polytechnique, 1990.

  116. L. Busé and B. Mourrain,
    ``\tt multires,'', 2000
    Ensemble de fonctions {\sc maple} pour la résolution d'équations polynomiales, le calcul de résultants, résidus, de décomposition géométrique, ...

  117. B. Mourrain,
    ``MICMAC,'', 1992
    Ensemble de fonctions de manipulations d'anneaux, d'idéaux, de modules, de complexes, \dots\ en algèbre commutative. Connexions entre {\sc Maple} avec {\sc Macaulay}. {\tt http://www-sop.inria.fr/safir/SAM/micmac2.0/}.

  118. B. Mourrain,
    ``SYNAPS, SYmbolic Numeric ApplicationS,'', 2000-2003
    Bibliothèque de structures et algorithmes {\sc C++}, intervenant dans la résolution d'équations polynomiales, {\tt http://www-sop.inria.fr/galaad/logiciels/synaps/}.

  119. R. Fournier, N. Kajler, and B. Mourrain,
    ``IZIC,'', 1993
    Outil de visualisation 3D, pilotable à partir d'un système de calcul formel externe, {\tt http://www-sop.inria.fr/safir/SAM/Izic/}.

  120. B. Mourrain,
    ``GEO,'', 1991
    Démonstration automatique de propriété d'incidence en géométrie élémentaire. \'Ecrit en {\tt Lelisp15.2}.

  121. D. Bini and B. Mourrain,
    ``Polynomial test suite,'', 1998
    {\tt http://www-sop.inria.fr/galaad/POL/ }.

  122. B. Mourrain,
    ``Computational Symbolic Geometry,'', 1995
    Notes de cours, . Contact pris pour publication dans la série Mathematical Methods of Technology (Marcel Dekker).

  123. M. Elkadi and B. Mourrain,
    ``Introduction à la résolution des systèmes d'équations algébriques,'', 2003
    Notes de cours, Univ. de Nice (310 p.).

Mise á jour 10/10/06:18h32

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