Linearization of bivariate polynomial matrices expressed in non monomial basis
The paper proposes a two step algorithm that reduces a bivariate polynomial matrix \(T\left( s,z\right) \) expressed in Newton or Lagrange base to a bivariate matrix pencil \(A+E_{1}s+E_{2}z\) with the same invariant polynomials and zero structure.
bivariate polynomial matrix matrix pencil companion form unimodular equivalence zero coprime equivalence newton basis lagrange basis primary: 93b18 secondary: 93b17 93b25 93b11 93b40 93c05 93c35