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RESULTANT AND DISCRIMINANT OF LINEAR COMBINATION OF POLYNOMIALS

  • Choi, EunMi (Department of Mathematics Hannam University)
  • Received : 2010.06.04
  • Accepted : 2010.11.09
  • Published : 2010.12.30

Abstract

We investigate efficient method for the computation of resultant and discriminant of polynomials. The aim of this paper is to provide not only those values but also visual structure from elementary matrix calculation.

Keywords

References

  1. E. W. Chionh, M. Zhang, R. Goldman, Fast computation of the Bezout and Dixon resultant matrices, J. Symbolic Computation, 33 (2002), 13-29. https://doi.org/10.1006/jsco.2001.0462
  2. H. Cohen, Resultants and Discriminants. A Course in Computational Algebraic Number Theory, New York: Springer Verlag, 119-123, 1993.
  3. G. E. Collins. Subresultants and reduced polynomials remainder sequences, J. Assoc. Comput. Mach.(J.ACM) 14 (1967), 128-142. https://doi.org/10.1145/321371.321381
  4. D. Cox, J. Little, D. OShea, Using Algebraic Geometry, New York, Springer Verlag, 1998.
  5. D. Manocha, J. Canny, Multipolynomial resultant algorithms, J. Symbolic Computation, 15 (1993), no. 2, 99-122. https://doi.org/10.1006/jsco.1993.1009
  6. B. L. van derWaerden, Algebra, Vol 1, New York, 1970. (translate from German edition, 1966)