Planar least squares inverse polynomials: Part I-Algebraic properties
P. Delsarte, Yves V. Genin, Yves Kamp · IEEE Transactions on Circuits and Systems · 1979
A general analysis of the planar least squares inverse polynomials is presented. The algebraic properties of these polynomials are discussed in detail and applied to the stability problem related with the Shanks et al. conjecture. The theory of the orthogonal polynomial matrices on the unit circle is shown to provide interesting new results concerning planar least squares inverse polynomials.