Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−A
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 sE−A where E is a singular matrix but det(sE−A)≢0. Using a previous result by the authors we express B(s) and det(sE−A) in ter...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/74507 |
| Summary: | 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 sE−A where E is a singular matrix but det(sE−A)≢0. Using a previous result by the authors we express B(s) and det(sE−A) in terms of classical orthogonal polynomials. |
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| ISSN: | 0161-1712 1687-0425 |