To solving problems of algebra for two-parameter matrices. 7

The paper discusses the rank-factorization method for solving spectral problems for two-parameter polynomial matrices. New forms of rank factorization for matrices free of the singular spectrum are suggested. The algorithms for computing them use unimodular matrices only. The paper suggests conditions sufficient for a matrix to have no singular spectrum and also conditions sufficient for a basis matrix of the null-space to have neither the finite regular, nor the finite singular spectrum. Bibl. 3 titles.