A polynomial decomposition algorithm

  • Authors:
  • David R. Barton;Richard E. Zippel

  • Affiliations:
  • -;-

  • Venue:
  • SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
  • Year:
  • 1976

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Abstract

This paper presents an efficient, effective algorithm for decomposing a polynomial f(x) into an irreducible representation of the form f(x) &equil; g1(g2( ... gn(x) ... )). This decomposition is used as an aid in solving high degree metacyclic equations in radicals and preconditioning polynomials for evaluation.