LEVERRIER-FADEEV ALGORITHM AND CLASSICAL ORTHOGONAL POLYNOMIALS
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How to Cite

Hernández, J., Marcellán , F. ., & Rodríguez, C. . (2023). LEVERRIER-FADEEV ALGORITHM AND CLASSICAL ORTHOGONAL POLYNOMIALS. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 28(106), 39–47. https://doi.org/10.18257/raccefyn.28(106).2004.2013

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Abstract

Utilizing structural properties of classical orthogonal polynomials (Hermite, Laguerre, Jacobi, and Bessel), this work presents an implementation of the Leverrier-Fadeev algorithm to derive the characteristic polynomial of a square matrix with complex entries.

https://doi.org/10.18257/raccefyn.28(106).2004.2013

Keywords

Characteristic Polynomial | Transfer Functions | Orthogonal Polynomials | Classical Linear Functionals
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References

S. Barnett, Leverrier’s algorithm for orthogonal polynomials bases, Linear Alg. and Appl. 236 (1996), 245–263.

T. S. Chihara, An introduction to orthogonal polynomials, Gordon and Breach, New York, 1978.

J. S. Frame, Matrix functions and applications IV: Matrix functions and constituent matrices, IEEE Spectrum 1 (1964), 123–131.

F. Marcell ́an, A. Branquinho, & J. C. Petronilho, Classical orthogonal polynomials: A functional approach, Acta Appl. Math. 34 (1994), 283–303.

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