RT Journal Article T1 Leverrier-Fadeev algorithm and classical orthogonal polynomials A1 Hernández, Javier A1 Marcellán Español, Francisco José A1 Rodríguez Teijeiro, María Carmen AB [EN] Using structural properties of classical orthogonal polynomials (Hermite, Laguerre, Jacobi, and Bessel), an implementation of Leverrier-Fadeev algorithm to obtain the characteristic polynomial of a square matrix with complex entries is presented. AB [ES] Usando propiedades estructurales de los polinomios ortogonales clásicos (Hermite, Laguerre, Jacobi y Bessel), se implementa el algoritmo de Leverrier-Fadeev para obtener elpolinomio característico de una matriz cuadrada de elementos complejos. PB Academia Colombiana de Ciencias Exactas, Físicas y Naturales SN 0370-3908 YR 2004 FD 2004 LK https://hdl.handle.net/10016/5973 UL https://hdl.handle.net/10016/5973 LA eng NO 9 pages, no figures.-- MSC2000 codes: Primary 42C05, 33C45. NO MR#: MR2065838 NO Zbl#: Zbl 1105.65039 NO The work of the first author has been supported by Fundación Universidad Carlos III de Madrid. The work of the second author has received the financial support from Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain, grant BFM2003-06335-C03-02. DS e-Archivo RD 1 sept. 2024