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Volumn 1719, Issue , 1999, Pages 430-442

A new criterion for normal form algorithms

(1)  Mourrain, B a  

a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; POLYNOMIALS; VECTOR SPACES;

EID: 84957631580     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-46796-3_41     Document Type: Conference Paper
Times cited : (101)

References (22)
  • 1
    • 0001906678 scopus 로고    scopus 로고
    • Zeros, multiplicities and idempotents for zero dimensional systems
    • volume 143 of Prog. in Math., L. González-Vega and T. Recio, editors, Birkhauser, Basel
    • M.E. Alonso, E. Becker, M.F. Roy, and T. Wörmann. Zeros, multiplicities and idempotents for zero dimensional systems. In L. González-Vega and T. Recio, editors, Algorithms in Algebraic Geometry and Applications, volume 143 of Prog. in Math., pages 1-15. Birkhauser, Basel, 1996.
    • (1996) Algorithms in Algebraic Geometry and Applications , pp. 1-15
    • Alonso, M.E.1    Becker, E.2    Roy, M.F.3    Wörmann, T.4
  • 2
    • 0002783070 scopus 로고
    • An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations
    • volume 86 of Int. Series of Numerical Math, Birkhauser Verlag
    • W. Auzinger and H.J. Stetter. An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations. In Proc. Intern. Conf. on Numerical Math., volume 86 of Int. Series of Numerical Math, pages 12-30. Birkhauser Verlag, 1988.
    • (1988) Proc. Intern. Conf. on Numerical Math , pp. 12-30
    • Auzinger, W.1    Stetter, H.J.2
  • 4
    • 0032514307 scopus 로고    scopus 로고
    • Controlled iterative methods for solving polynomial systems
    • ACM Press
    • D. Bondyfalat, B. Mourrain, and V.Y. Pan. Controlled iterative methods for solving polynomial systems. In Proc. ISSAC, pages 252-259. ACM Press., 1998.
    • (1998) Proc. ISSAC , pp. 252-259
    • Bondyfalat, D.1    Mourrain, B.2    Pan, V.Y.3
  • 6
    • 0002803133 scopus 로고
    • Grobner bases: An algebraic method in ideal theory
    • N.K. Bose, editor, Reidel Publishing Co
    • B. Buchberger. Grobner bases: An algebraic method in ideal theory. In N.K. Bose, editor, Multidimensional System Theory, pages 184-232. Reidel Publishing Co., 1985.
    • (1985) Multidimensional System Theory , pp. 184-232
    • Buchberger, B.1
  • 10
    • 25944479355 scopus 로고
    • Efficient computation of zerodimensional groebner bases by change of ordering
    • J.C. Faugere, P. Gianni, D. Lazard, and T. Mora. Efficient computation of zerodimensional groebner bases by change of ordering. J.S.C, 16(4):329-344, 1993.
    • (1993) J.S.C , vol.16 , Issue.4 , pp. 329-344
    • Faugere, J.C.1    Gianni, P.2    Lazard, D.3    Mora, T.4
  • 11
    • 0033143274 scopus 로고    scopus 로고
    • A new efficient algorithm for computing Gröbner Basis (F4)
    • Faugere J.C. A new efficient algorithm for computing Gröbner Basis (F4). J. of Pure and Applied Algebra, 139:61-88, 1999.
    • (1999) J. of Pure and Applied Algebra , vol.139 , pp. 61-88
    • Faugere, J.C.1
  • 12
    • 0000332757 scopus 로고
    • When Polynomial Equation Systems can be "Solved" Fast?
    • LNCS. Springer-Verlag
    • M. Giusti, J. Heintz, J.E. Morais, and L.M. Pardo. When Polynomial Equation Systems can be "Solved" Fast? In AAECC'95, LNCS. Springer-Verlag, 1995.
    • (1995) AAECC'95
    • Giusti, M.1    Heintz, J.2    Morais, J.E.3    Pardo, L.M.4
  • 13
    • 0002548511 scopus 로고
    • Resolution des systemes d'equations algebriques
    • D. Lazard. Resolution des systemes d'equations algebriques. Theo. Comp. Science, 15:77-110, 1981.
    • (1981) Theo. Comp. Science , vol.15 , pp. 77-110
    • Lazard, D.1
  • 14
    • 9144270675 scopus 로고
    • On the Resolution of a given Modular System into Primary Systems Including some Properties of Hilbert Numbers
    • F.S. Macaulay. On the Resolution of a given Modular System into Primary Systems Including some Properties of Hilbert Numbers. Proc. London Math. Soc., pages 66-121, 1912.
    • (1912) Proc. London Math. Soc , pp. 66-121
    • Macaulay, F.S.1
  • 15
    • 85027646416 scopus 로고
    • Systems of algebraic equations solved by means of endomorphisms
    • H. M. Möoller. Systems of algebraic equations solved by means of endomorphisms. Lect. Notes in Comp. Sci., 673:43-56, 1993.
    • (1993) Lect. Notes in Comp. Sci , vol.673 , pp. 43-56
    • Möoller, H.M.1
  • 17
    • 0031645387 scopus 로고    scopus 로고
    • Asymptotic acceleration of solving multivariate polynomial systems of equations
    • ACM Press
    • B. Mourrain and V.Y. Pan. Asymptotic acceleration of solving multivariate polynomial systems of equations. In Proc. STOC, pages 488-496. ACM Press., 1998.
    • (1998) Proc. STOC , pp. 488-496
    • Mourrain, B.1    Pan, V.Y.2
  • 18
    • 9144228865 scopus 로고    scopus 로고
    • Multivariate polynomials, duality and structured matrices
    • To appear
    • B. Mourrain and V.Y. Pan. Multivariate polynomials, duality and structured matrices. J. of Complexity, 1999. To appear.
    • (1999) J. of Complexity
    • Mourrain, B.1    Pan, V.Y.2
  • 19
    • 0030075395 scopus 로고    scopus 로고
    • Groebner Bases with Respect to Generalized Term Orders and their Application to the Modelling Problem
    • F. Pauer and S. Zampieri. Groebner Bases with Respect to Generalized Term Orders and their Application to the Modelling Problem. J.S.C., 21:155-168, 1996.
    • (1996) J.S.C , vol.21 , pp. 155-168
    • Pauer, F.1    Zampieri, S.2
  • 20
    • 0001572510 scopus 로고
    • On the computational complexity and geometry of the first order theory of reals (I, II, III)
    • J. Renegar. On the computational complexity and geometry of the first order theory of reals (I, II, III). J. Symbolic Computation, 13(3):255-352, 1992.
    • (1992) J. Symbolic Computation , vol.13 , Issue.3 , pp. 255-352
    • Renegar, J.1
  • 22
    • 84972574115 scopus 로고
    • Grobner bases of toric varieties
    • B. Sturmfels. Grobner bases of toric varieties. Tohoku Math. J., 43:249-261, 1991.
    • (1991) Tohoku Math. J , vol.43 , pp. 249-261
    • Sturmfels, B.1


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