On polynomial Schur's matrix

On the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues

Consider an n × <span style="fon...

Differential Polynomial Rings of Triangular Matrix Rings

Algebraic adjoint of the polynomials-polynomial matrix multiplication

This paper deals with a result concerning the algebraic dual of the linear mapping defined by the multiplication of polynomial vectors by a given polynomial matrix over a commutative field

Notes on n-D Polynomial Matrix Factorizations

This paper discusses a relationship between the prime factorizability of a normal full rank n-D (n > 2) polynomial matrix and its reduced minors. Two conjectures regarding the n-D polynomial matrix prime factorization problem are posed, and a partial solution to one of the conjectures is provided. Another related open problem of factorizing an n-D polynomial matrix that is not of normal full ra...

On the Evaluation of a Matrix Polynomial

An efficient algorithm for evaluating the matrix polynomial I + A + A + ••• +A~ is developed. The proposed scheme is simple and eliminates the difficulties encountered in applying a recently reported procedure [11.