A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system Original Research Article

A numerical algorithm for the calculation of a basis for the root subspace at a nonderogatory eigenvalue of a finite dimensional multiparameter system is given. It is based on the algorithm proposed by Koimageir [1]. The perturbation theory for the algorithm is studied and a new stopping criterion is proposed. At the end two numerical examples are given.