A simplification of Jury's tabular form

Abstract

A modification of Jury's procedure for the determination of the distribution of roots of polynomial <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">F(z)</tex> with respect to the unit circle is described. Its advantages are simpler numerical manipulations and direct determination of root distribution in the so-called nonsingular cases, while previous methods for examination of singular cases are not subverted.