A new method for factoring matrix polynomials relative to the unit circle

Presents a method for factoring a self-inversive Hermitian matrix polynomial relative to the unit-radius circle. It formulates the factorization problem as those of evaluating a set of definite integrals along the unit circle and of solving a block-Toeplitz system of linear equations. Since the evaluation of definite integrals along the unit circle can be accomplished via parallel computations and the solution of a block-Toeplitz system can be obtained by a fast algorithm, the proposed method is very useful in real-time applications.