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Volumn 42, Issue 4-6, 1996, Pages 509-528

Floating point Gröbner bases

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; COMPUTATION THEORY; DIGITAL ARITHMETIC; POLES AND ZEROS; PROBLEM SOLVING;

EID: 0030284171     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(96)00027-4     Document Type: Article
Times cited : (35)

References (14)
  • 2
    • 0002820505 scopus 로고
    • Some examples for solving systems of algebraic equations by calculating Groebner bases
    • W. Boege, R. Gebauer and H. Kredel, Some examples for solving systems of algebraic equations by calculating Groebner bases, J. Symbolic. Comput. 1 (1986) 83-98.
    • (1986) J. Symbolic. Comput. , vol.1 , pp. 83-98
    • Boege, W.1    Gebauer, R.2    Kredel, H.3
  • 3
    • 0002803133 scopus 로고
    • Gröbner bases: An algorithmic method in polynomial ideal theory
    • N.K. Bose, ed., Reidel, Dordrecht, Chapter 6
    • B. Buchberger, Gröbner bases: An algorithmic method in polynomial ideal theory, in: N.K. Bose, ed., Multidimensional Systems Theory (Reidel, Dordrecht, 1985) Chapter 6, 184-232.
    • (1985) Multidimensional Systems Theory , pp. 184-232
    • Buchberger, B.1
  • 4
    • 33646925446 scopus 로고
    • An algorithmical criterion for the solvability of algebraic systems of equations (German)
    • B. Buchberger, An algorithmical criterion for the solvability of algebraic systems of equations (German), Aequationes Mathematicae 4 (3) (1970) 374-383.
    • (1970) Aequationes Mathematicae , vol.4 , Issue.3 , pp. 374-383
    • Buchberger, B.1
  • 7
    • 0000709547 scopus 로고
    • Finiteness of the odd perfect and primitive abundant numbers with n distinct prime factors
    • L.E. Dickson, Finiteness of the odd perfect and primitive abundant numbers with n distinct prime factors, Amer. J. Math. 35 (1913) 413-426.
    • (1913) Amer. J. Math. , vol.35 , pp. 413-426
    • Dickson, L.E.1
  • 10
    • 0003418509 scopus 로고
    • Iterative Methods for Simultaneous Inclusion of Polynomial Zeros
    • Springer, Berlin
    • M. Petković, Iterative Methods for Simultaneous Inclusion of Polynomial Zeros, Lecture Notes in Mathematics, 1387 (Springer, Berlin, 1989).
    • (1989) Lecture Notes in Mathematics , vol.1387
    • Petković, M.1
  • 11
    • 0024917993 scopus 로고
    • A modular method for Gröbner-basis construction over Q and solving system of algebraic equations
    • T. Sasaki and T. Takeshima, A modular method for Gröbner-basis construction over Q and solving system of algebraic equations, J. Inform. Process. 12 (4) (1989) 371-379.
    • (1989) J. Inform. Process. , vol.12 , Issue.4 , pp. 371-379
    • Sasaki, T.1    Takeshima, T.2
  • 13
    • 0346927698 scopus 로고
    • On improving approximate results of Buchberger's algorithm by Newton's method
    • W. Trinks, On improving approximate results of Buchberger's algorithm by Newton's method, SIGSAM Bull. 18 (3) (1984) 7-11.
    • (1984) SIGSAM Bull. , vol.18 , Issue.3 , pp. 7-11
    • Trinks, W.1
  • 14
    • 0001002796 scopus 로고
    • A p-adic approach to the computation of Gröbner bases
    • F. Winkler, A p-adic approach to the computation of Gröbner bases, J. Symbolic. Comput. 6 (2-3) (1988) 287-304.
    • (1988) J. Symbolic. Comput. , vol.6 , Issue.2-3 , pp. 287-304
    • Winkler, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.