Subresultants in Recursive Polynomial Remainder Sequence

@article{Terui2003SubresultantsIR,
  title={Subresultants in Recursive Polynomial Remainder Sequence},
  author={Akira Terui},
  journal={CoRR},
  year={2003},
  volume={abs/0806.0478}
}
We introduce concepts of “recursive polynomial remainder sequence (PRS)” and “recursive subresultant,” and investigate their properties. In calculating PRS, if there exists the GCD (greatest common divisor) of initial polynomials, we calculate “recursively” with new PRS for the GCD and its derivative, until a constant is derived. We call such a PRS a recursive PRS. We define recursive subresultants to be determinants representing the coefficients in recursive PRS by coefficients of initial… CONTINUE READING