To solving problems of algebra for two-parameter matrices. 9

The paper continues investigations of the spectral characteristics of two-parameter polynomial matrices of general form. An approach to constructing algorithms for computing points of the regular, singular, and regular-singular spectra of a matrix is suggested and theoretically justified. New algorithms, based on combining rank factorization methods and the method of hereditary pencils, for computing spectrum points and spectral vectors and also new algorithms for finding points of the regular and singular spectra of two-parameter matrices linearly dependent on the parameters are proposed.