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Leverrier-Fadeev algorithm and classical orthogonal polynomials

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URI: https://hdl.handle.net/10016/5973
ISSN: 0370-3908
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leverrier_marcellan_raccefn_2004.pdf (116.89 KB)
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2004
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Academia Colombiana de Ciencias Exactas, Físicas y Naturales
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Abstract
[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.
[ES] Usando propiedades estructurales de los polinomios ortogonales clásicos (Hermite, Laguerre, Jacobi y Bessel), se implementa el algoritmo de Leverrier-Fadeev para obtener el polinomio característico de una matriz cuadrada de elementos complejos.
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9 pages, no figures.-- MSC2000 codes: Primary 42C05, 33C45.
MR#: MR2065838
Zbl#: Zbl 1105.65039
Keywords
Characteristic polynomial, Transfer functions, Orthogonal polynomials, Classical linear functionals, Polinomio característico, Funciones de transferencia, Polinomios ortogonales, Funcionales lineales clásicos
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Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, 2004, vol. 28, n.106, p. 39-47
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