On the Bezoutian matrix for Chebyshev polynomials

In the present paper a Bezoutian-type matrix relative to Chebyshev polynomials of the second kind is introduced by the form of generating function. A Barnett-type factorization formula and a triangular-type formula are obtained for this generalized Bezout matrix, which generalize the corresponding results for classical Bezout matrix. Two numerical examples are given to illustrate the correctness of our results.