To solving multiparameter problems of algebra. 3. Cylindrical manifolds of the regular spectrum of a matrix

Methods for computing polynomials (complete polynomials) whose zeros form in the space $\mathbb C^q$ cylindrical manofolds of the regular spectrum of a $q$-parameter polynomial matrix are considered. Based on the method of partial relative factorization of matrices, new methods for computing cylindrical manifolds are suggested. The $\Psi W$ and $\Psi V$ methods, previously proposed for computing complete polynomials of $q$-parameter polynomial matrices whose regular spectrum is independent of one of the parameters, are extended to a wider class of matrices.