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An extension of Leverrier-Faddeev algorithm using a basis of classical orthogonal polynomials

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URI: http://hdl.handle.net/10016/5963
ISSN: 0352-9665
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extension_marcellan_fusmi_2004.pdf (187.1 KB)
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2004
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University of Niš
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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 terms of a basis of classical orthogonal polynomials.
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20 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C45, 15A15.
MR#: MR2122756 (2005i:42040)
Zbl#: Zbl 1088.42015
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Facta Universitatis Series Mathematics and Informatics, 2004, vol. 19, p. 73-92
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