메뉴 건너뛰기




Volumn 117-118, Issue , 1997, Pages 195-215

Solving a system of algebraic equations with symmetries

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031145317     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(97)00011-X     Document Type: Article
Times cited : (15)

References (21)
  • 3
    • 85029963451 scopus 로고
    • How we proved that there are exactly 924 cyclic 7-roots
    • ACM, New York
    • J. Backelin and R. Fröberg, How we proved that there are exactly 924 cyclic 7-roots, Proc. ISSAC'91 (ACM, New York, 1991) 103-111.
    • (1991) Proc. ISSAC'91 , pp. 103-111
    • Backelin, J.1    Fröberg, R.2
  • 4
    • 26344444273 scopus 로고
    • A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic n-roots
    • G. Björck and R. Fröberg, A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic n-roots, J. Symbolic Comput. 12 (1991) 329-336.
    • (1991) J. Symbolic Comput. , vol.12 , pp. 329-336
    • Björck, G.1    Fröberg, R.2
  • 6
    • 0000723167 scopus 로고
    • Invariants of finite groups generated by reflections
    • C. Chevalley, Invariants of finite groups generated by reflections, Amer. J. Math. 77 (1955) 778-782.
    • (1955) Amer. J. Math. , vol.77 , pp. 778-782
    • Chevalley, C.1
  • 7
    • 0040260848 scopus 로고
    • Formal computation of Galois groups with relative resolvents
    • G. Cohen, M. Giusti and T. Mora, Eds. Lecture Notes in Computer Science, Springer, Berlin
    • A. Colin, Formal computation of Galois groups with relative resolvents, in: G. Cohen, M. Giusti and T. Mora, Eds., Proc. AAECC'95, Lecture Notes in Computer Science, Vol. 948 (Springer, Berlin, 1995) 169-182.
    • (1995) Proc. AAECC'95 , vol.948 , pp. 169-182
    • Colin, A.1
  • 9
    • 0025530780 scopus 로고
    • Symbolic solution of polynomial equation systems with symmetry
    • S. Watanabe and M. Nagata, Eds. ACM, New York
    • K. Gatermann, Symbolic solution of polynomial equation systems with symmetry, in: S. Watanabe and M. Nagata, Eds., Proc. ISSAC'90 (ACM, New York, 1990).
    • (1990) Proc. ISSAC'90
    • Gatermann, K.1
  • 10
    • 0000902916 scopus 로고    scopus 로고
    • Semi-invariants, equivariants and algorithms
    • Springer, Berlin
    • K. Gatermann, Semi-invariants, equivariants and algorithms, AAECC'7 (Springer, Berlin, 1996) 105-124.
    • (1996) AAECC'7 , pp. 105-124
    • Gatermann, K.1
  • 11
    • 84966234189 scopus 로고
    • On invariant polynomials and their application in field theory
    • 48.178
    • K. Girstmair, On invariant polynomials and their application in field theory, Math. Comput. 48.178 (1987) 781-797.
    • (1987) Math. Comput. , pp. 781-797
    • Girstmair, K.1
  • 12
    • 0010999159 scopus 로고
    • Algebraic transformations of polynomial equations, symmetric polynomials and elimination
    • P. Gianni, Ed., Lecture. notes in Computer Science, Springer, Berlin
    • M. Giusti, D. Lazard and A. Valibouze, Algebraic transformations of polynomial equations, symmetric polynomials and elimination, in: P. Gianni, Ed., ISSAC'88, Lecture. notes in Computer Science, Vol. 358 (Springer, Berlin, 1988) 309-314.
    • (1988) ISSAC'88 , vol.358 , pp. 309-314
    • Giusti, M.1    Lazard, D.2    Valibouze, A.3
  • 13
    • 0003675438 scopus 로고
    • Dissertation, Univ. of Heidelberg. 1994. Also IWR Preprint 94-49, Heidelberg
    • G. Kemper, Das Noethersche Problem und generische Polynome, Dissertation, Univ. of Heidelberg. 1994. Also IWR Preprint 94-49, Heidelberg, 1994.
    • (1994) Das Noethersche Problem und Generische Polynome
    • Kemper, G.1
  • 14
    • 0030102893 scopus 로고    scopus 로고
    • Calculating invariant rings of finite groups over arbitrary fields
    • G. Kemper, Calculating invariant rings of finite groups over arbitrary fields, J. Symbolic Comput. 21 (1996) 351-366.
    • (1996) J. Symbolic Comput. , vol.21 , pp. 351-366
    • Kemper, G.1
  • 16
    • 0000974924 scopus 로고
    • A neural network modeled by an adaptive Lotka-Volterra system
    • V.W. Noonburg, A neural network modeled by an adaptive Lotka-Volterra system, SIAM J. Appl. Math. 49 (1989) 1779-1792.
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 1779-1792
    • Noonburg, V.W.1
  • 18
    • 0002700498 scopus 로고
    • SYM symboliccomputation with symmetric polynomials, an extension to Macsyma
    • Springer, MIT, Cambridge, MA
    • A. Valibouze, SYM, symbolic computation with symmetric polynomials, an extension to Macsyma, in: Proc. Computers and Mathematics (Springer, MIT, Cambridge, MA, 1989) 308-320.
    • (1989) Proc. Computers and Mathematics , pp. 308-320
    • Valibouze, A.1
  • 20
    • 0001917438 scopus 로고
    • Symmetric Newton polytopes for solving sparse polynomial systems
    • J. Verschelde and K. Gatermann, Symmetric Newton polytopes for solving sparse polynomial systems, J. Symbolic. Comput. 16 (1995) 95-127.
    • (1995) J. Symbolic. Comput. , vol.16 , pp. 95-127
    • Verschelde, J.1    Gatermann, K.2
  • 21
    • 0043112497 scopus 로고
    • Zeros of equivariant vector fields: Algorithms for an invariant approach
    • P.A. Worfolk, Zeros of equivariant vector fields: algorithms for an invariant approach, J. Symbolic Comput. 17 (1994) 487-511.
    • (1994) J. Symbolic Comput. , vol.17 , pp. 487-511
    • Worfolk, P.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.