메뉴 건너뛰기




Volumn 44, Issue 11, 2009, Pages 1566-1591

Approximate computation of zero-dimensional polynomial ideals

Author keywords

Border basis; Buchberger M ller algorithm; Ideal membership

Indexed keywords


EID: 68549115268     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2008.11.010     Document Type: Article
Times cited : (51)

References (20)
  • 2
    • 68549110868 scopus 로고    scopus 로고
    • The ApCoCoATeam, 2007. ApCoCoA: Applied Computations in Commutative Algebra. Available at http://www.apcocoa.org
    • The ApCoCoATeam, 2007. ApCoCoA: Applied Computations in Commutative Algebra. Available at http://www.apcocoa.org
  • 3
    • 0020233780 scopus 로고
    • The construction of multivariate polynomials with preassigned zeros
    • Proceedings of EUROCAM'82. Calmet J. (Ed), Springer, Heidelberg
    • Buchberger B., and Möller H.M. The construction of multivariate polynomials with preassigned zeros. In: Calmet J. (Ed). Proceedings of EUROCAM'82. Lect. Notes in Comp. Sci. vol. 144 (1982), Springer, Heidelberg 24-31
    • (1982) Lect. Notes in Comp. Sci. , vol.144 , pp. 24-31
    • Buchberger, B.1    Möller, H.M.2
  • 4
    • 0021531985 scopus 로고
    • On determining the structure of a non-linear system
    • Desrochers A., and Mohseni S. On determining the structure of a non-linear system. Internat. J. Control 40 (1984) 923-938
    • (1984) Internat. J. Control , vol.40 , pp. 923-938
    • Desrochers, A.1    Mohseni, S.2
  • 7
    • 15244362149 scopus 로고    scopus 로고
    • An introduction to total least squares
    • de Groen P.P.N. An introduction to total least squares. Nieuw Arch. Wisk. 14 (1996) 237-254
    • (1996) Nieuw Arch. Wisk. , vol.14 , pp. 237-254
    • de Groen, P.P.N.1
  • 8
    • 68549135637 scopus 로고    scopus 로고
    • Algebraische Modellierung mit Methoden der approximativen Computeralgebra und Anwendungen in der Ölindustrie
    • Heldt D., Kreuzer M., Pokutta S., and Poulisse H. Algebraische Modellierung mit Methoden der approximativen Computeralgebra und Anwendungen in der Ölindustrie. OR News 28 (2006) 15-18
    • (2006) OR News , vol.28 , pp. 15-18
    • Heldt, D.1    Kreuzer, M.2    Pokutta, S.3    Poulisse, H.4
  • 9
    • 0037376526 scopus 로고    scopus 로고
    • Pseudozeros of multivariate polynomials
    • Hoffman J.W., Madden J.J., and Zhang H. Pseudozeros of multivariate polynomials. Math. Comp. 72 (2003) 975-1002
    • (2003) Math. Comp. , vol.72 , pp. 975-1002
    • Hoffman, J.W.1    Madden, J.J.2    Zhang, H.3
  • 10
    • 12944249318 scopus 로고    scopus 로고
    • Characterizations of border bases
    • Kehrein A., and Kreuzer M. Characterizations of border bases. J. Pure Appl. Algebra 196 (2005) 251-270
    • (2005) J. Pure Appl. Algebra , vol.196 , pp. 251-270
    • Kehrein, A.1    Kreuzer, M.2
  • 14
    • 57349090788 scopus 로고    scopus 로고
    • Deformations of border bases
    • Kreuzer M., and Robbiano L. Deformations of border bases. Collect. Math. 59 (2008) 275-297
    • (2008) Collect. Math. , vol.59 , pp. 275-297
    • Kreuzer, M.1    Robbiano, L.2
  • 15
    • 0000806040 scopus 로고
    • Gröbner bases of ideals defined by functionals with an application to ideals of projective points
    • Marinari M., Möller H.M., and Mora T. Gröbner bases of ideals defined by functionals with an application to ideals of projective points. Appl. Algebra Engrg. Comm. Comput. 4 (1993) 103-145
    • (1993) Appl. Algebra Engrg. Comm. Comput. , vol.4 , pp. 103-145
    • Marinari, M.1    Möller, H.M.2    Mora, T.3
  • 16
    • 33847610597 scopus 로고    scopus 로고
    • H-bases II: Application to numerical problems
    • Cohen A., et al. (Ed), Vanderbilt University Press
    • Möller H.M., and Sauer T. H-bases II: Application to numerical problems. In: Cohen A., et al. (Ed). Curve and Surface Fitting (1999), Vanderbilt University Press 333-342
    • (1999) Curve and Surface Fitting , pp. 333-342
    • Möller, H.M.1    Sauer, T.2
  • 17
    • 0034411838 scopus 로고    scopus 로고
    • H-bases for polynomial interpolation and system solving
    • Möller H.M., and Sauer T. H-bases for polynomial interpolation and system solving. Adv. Comput. Math. 12 (2000) 335-362
    • (2000) Adv. Comput. Math. , vol.12 , pp. 335-362
    • Möller, H.M.1    Sauer, T.2
  • 18
    • 23044526394 scopus 로고    scopus 로고
    • Gröbner bases, H-bases and interpolation
    • Sauer T. Gröbner bases, H-bases and interpolation. Trans. Amer. Math. Soc. 353 (2001) 2293-2308
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 2293-2308
    • Sauer, T.1
  • 19
    • 0032325619 scopus 로고    scopus 로고
    • Remarks on automatic algorithm stabilization
    • Shirayanagi K., and Sweedler M. Remarks on automatic algorithm stabilization. J. Symbolic Comput. 26 (1998) 761-765
    • (1998) J. Symbolic Comput. , vol.26 , pp. 761-765
    • Shirayanagi, K.1    Sweedler, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.