Cita:
Facta Universitatis Series Mathematics and Informatics, 2004, vol. 19, p. 73-92
ISSN:
0352-9665
Agradecimientos:
The work of the second author (F. Marcellán)
was supported by Dirección General de Investigación, Ministerio de Ciencia y Tecnología of Spain, under grant BFM2003-06335-C03-02. The work of the first author (J. Hernández) has been supported by Fundación Universidad Carlos III de Madrid.
In this paper, the Leverrier-Faddeev algorithm is extended in order to compute both the determinant a(s) and the adjoint B(s) of the polynomial matrix s^pA_p + s^p-1A_p-1 + ... + sA_1 + A_0, where A_i ∈ Cnxn; i = 1, 2, ..., p. B(s) and a(s) are expressed in teIn this paper, the Leverrier-Faddeev algorithm is extended in order to compute both the determinant a(s) and the adjoint B(s) of the polynomial matrix s^pA_p + s^p-1A_p-1 + ... + sA_1 + A_0, where A_i ∈ Cnxn; i = 1, 2, ..., p. B(s) and a(s) are expressed in terms of a basis of classical orthogonal polynomials.[+][-]
