Introduction to Bezoutians
Karla Rost · Birkhäuser Basel eBooks · 2010
In the present paper we consider classes of matrices the entries of which are in a given field F . These matrices have a special structure, they are Bezoutians . Historically, Bezoutians were at first introduced in connection with the elimination for the solution of systems of nonlinear algebraic equations and in connection with root localization problems. Only much later their importance for Hankel and Toeplitz matrix inversion became clear.