A method for finding zeros of polynomial equations using a contour integral based eigensolver

@inproceedings{Sakurai2009AMF,
  title={A method for finding zeros of polynomial equations using a contour integral based eigensolver},
  author={Tetsuya Sakurai and Junko Asakura and Hiroto Tadano and Tsutomu Ikegami and Kinji Kimura},
  booktitle={SNC},
  year={2009}
}
In this paper, we present a method for finding zeros of polynomial equations in a given domain. We apply a numerical eigensolver using contour integral for a polynomial eigenvalue problem that is derived from polynomial equations. The Dixon resultant is used to derive the matrix polynomial of which eigenvalues involve roots of the polynomial equations with respect to one variable. The matrix polynomial obtained by the Dixon resultant is sometimes singular. By applying the singular value… CONTINUE READING