Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils s E − A

Javier Hernández and Francisco Marcellán

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-13

Abstract:

In this contribution we present an extension of the Leverrier-Faddeev algorithm for the simultaneous computation of the determinant and the adjoint matrix B ( s ) of a pencil s E − A where E is a singular matrix but det ⠡ ( s E − A ) ≢ 0 . Using a previous result by the authors we express B ( s ) and det ⠡ ( s E − A ) in terms of classical orthogonal polynomials.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:074507

DOI: 10.1155/IJMMS/2006/74507

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