Fast Polynomial Dispersion Computation and Its Application to Indefinite Summation

@inproceedings{Man1994FastPD,
  title={Fast Polynomial Dispersion Computation and Its Application to Indefinite Summation},
  author={Yiu-Kwong Man and Francis J. Wright},
  booktitle={ISSAC},
  year={1994}
}
An algorithm for computing the dispersion of one or two polynomials is described, based on irreducible factorization. It is demonstrated that in practice it is faster than the “conventional” resultant-based algorithm, at least for small problems. It can be applied to algorithms for indefinite summation and closed-form solution of linear difference equations. A brief survey of existing mostly resultant-based dispersion algorithms is given and the complexity of the resultant involved is analysed… CONTINUE READING
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Algorithms for polynomial factorization, PhD Thesis and TR 134, University of Wisconsin

  • Musser, R D.
  • 1971
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