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Volumn 948, Issue , 1995, Pages 365-382

Polynomial gcd computations over towers of algebraic extensions

Author keywords

Algebraic numbers; AXIOM; Polynomial gcd; Subresultants; Triangnlar sets; Zero dimensional systems

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

EID: 84955583152     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (31)

References (15)
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    • J. Backelin and R. Frberg. Flow we proved that there are exactly 924 cyclic 7-roots. In S. M. Watt, editor, Proc. ISSAC'91, pages 103-111. ACM, 1991.
    • (1991) Proc. ISSAC'91 , pp. 103-111
    • Backelin, J.1    Frberg, R.2
  • 8
    • 0002387424 scopus 로고
    • Solving systems of algebraic equations by using Grŏbner basis
    • Leipzig, GDR, 1987 (J.H. Davenport, ed.). Lecture Notes in Computer Science
    • M. Kalkbrener. Solving systems of algebraic equations by using Grŏbner basis. European Conference on Computer Algebra, Leipzig, GDR, 1987 (J. H. Davenport, ed.). Lecture Notes in Computer Science, 378: 282-292, 1987.
    • (1987) European Conference on Computer Algebra , vol.378 , pp. 282-292
    • Kalkbrener, M.1
  • 9
    • 38249006658 scopus 로고
    • A generalized euclidean algorithm for computing triangular representations of algebraic varieties
    • M. Kalkbrener. A generalized euclidean algorithm for computing triangular representations of algebraic varieties. J. Symb. Comp., 15: 143-167, 1993.
    • (1993) J. Symb. Comp , vol.15 , pp. 143-167
    • Kalkbrener, M.1
  • 10
    • 0002516606 scopus 로고
    • Properties of Grŏbner basis under specializations European Conference on Computer Algebra
    • Leipzig, GDR, 1987 (J.H. Davenport, ed.)
    • P. Gianni. Properties of Grŏbner basis under specializations European Conference on Computer Algebra, Leipzig, GDR, 1987 (J. H. Davenport, ed.). Lecture Notes in Computer Science, 378: 293-297, 1987.
    • (1987) Lecture Notes in Computer Science , vol.378 , pp. 293-297
    • Gianni, P.1
  • 11
    • 0000069912 scopus 로고
    • A new method for solving algebraic systems of positive dimension
    • D. Lazard. A new method for solving algebraic systems of positive dimension. Discr. Appl. Maths, 33: 147-160, 1991.
    • (1991) Discr. Appl. Maths , vol.33 , pp. 147-160
    • Lazard, D.1
  • 12
    • 0000167385 scopus 로고
    • Solving zero-dimensional algebraic systems
    • D. Lazard. Solving zero-dimensional algebraic systems. J. Symb. Comp., 13: 117-132, 1992.
    • (1992) J. Symb. Comp , vol.13 , pp. 117-132
    • Lazard, D.1
  • 13
    • 84955578182 scopus 로고
    • Systems of algebraic equations (algorithms and complexity)
    • Eisenbud and Robbiano, editors, Cambridge University Press
    • D. Lazard. Systems of algebraic equations (algorithms and complexity). In Eisenbud and Robbiano, editors, Proceedings of Cortona Conference. Cambridge University Press, 1993.
    • (1993) Proceedings of Cortona Conference
    • Lazard, D.1
  • 14
    • 0003062680 scopus 로고
    • Generalized polynomial remainder sequences
    • Spinger-Verlag
    • R. Loos. Generalized polynomial remainder sequences. In Symbolic and Algebraic Computation, pages 115-137. Spinger-Verlag, 1982.
    • (1982) Symbolic and Algebraic Computation , pp. 115-137
    • Loos, R.1
  • 15
    • 0003956960 scopus 로고
    • Springer-Verlag, seventh edition
    • B. L. van der Wærden. Algebra. Springer-Verlag, 1991. seventh edition.
    • (1991) Algebra
    • van der Wærden, B.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.