A multidimensional Schur-Cohn algorithm in tabular forms

The paper proposes multidimensional extensions of the Bistritz and the Jury-Marden stability tests, based on a necessary and sufficient stability test recently introduced by the authors, in terms of functional Schur coefficients. This type of test has only one condition to be checked, instead of N conditions in the classical Jury-Anderson test. The two proposed extensions are illustrated by a comparative 2-D example, and several 3-D examples of functional Schur coefficients are computed and graphically represented.