A Framework for Structured Linearizations of Matrix Polynomials in Various Bases
A Framework for Structured Linearizations of Matrix Polynomials in Various Bases
We present a framework for the construction of linearizations for scalar and matrix polynomials based on dual bases which, in the case of orthogonal polynomials, can be described by the associated recurrence relations. The framework provides an extension of the classical linearization theory for polynomials expressed in nonmonomial bases and …