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Some algebraic algorithms based on head term elimination over polynomial rings

  • Polynomial Algorithms
  • Conference paper
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Eurocal '87 (EUROCAL 1987)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 378))

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References

  1. B. Buchberger, “An algorithm for finding a basis for the residue class ring of a zero-dimensional polynomial ideal (German)”, Ph.D. Thesis, Math. Inst., Univ. of Innsbruck (Austria), 1965.

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  2. B. Buchberger, “Gröbner bases: An algorithmic method in polynomial ideal theory”, in Multidimensional Systems Theory (ed. R. Bose), Reidel, 1985, Ch.6.

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  3. H. Kobayashi, T. Fujise, and A. Furukawa, “Solving systems of algebraic equations by a general elimination method”, J. Sym. Comp. Vol.5 (1988), pp. 303–320.

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  4. D. Lazard, “Algèbre linéaire sur K[x1,x2,...,xn] et éllimination”, Bull. Soc. Math. France, No. 105 (1977), pp. 165–190.

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Authors and Affiliations

  1. The Institute of Physical and Chemical Research, Wako-shi, 351-01, Saitama, Japan

    Tateaki Sasaki

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  1. Tateaki Sasaki
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James H. Davenport

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© 1989 Springer-Verlag Berlin Heidelberg

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Sasaki, T. (1989). Some algebraic algorithms based on head term elimination over polynomial rings. In: Davenport, J.H. (eds) Eurocal '87. EUROCAL 1987. Lecture Notes in Computer Science, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51517-8_138

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  • DOI: https://doi.org/10.1007/3-540-51517-8_138

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51517-3

  • Online ISBN: 978-3-540-48207-9

  • eBook Packages: Springer Book Archive

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