Symmetric Equivalence of Matrix Polynomials and Isolation of a Common Unital Divisor in Matrix Polynomials
We find necessary and sufficient conditions for the existence of common unital divisors with given Smith forms of nonsingular matrix polynomials and common factorization of symmetric matrices over rings of polynomials with involution. We obtain conditions for the symmetric equivalence of such matrices.
English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 238-248.
Citation Example: Kuchma M. I. Symmetric Equivalence of Matrix Polynomials and Isolation of a Common Unital Divisor in Matrix Polynomials // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 211-219.