Numerical computation of a coprime factorization of a transfer function matrix

Abstract A new algorithm is presented for computing a coprime factorization of a transfer function matrix. The method is based on reformulating the problem as a problem of constructing a minimal basis of the right nullspace of a matrix pencil λ B - A . Due to the special structure and rank properties of the pencil obtained after transforming λ B - A to generalized Schur form, the original problem can be easily solved in a numerically reliable way.