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...
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| Language: | English |
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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 |
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doaj-d9a27501f8c3406cb1ea604f52fe3abe2020-11-24T23:41:29ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7450774507Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−AJavier Hernández0Francisco Marcellán1Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés 28911, SpainDepartamento de Matemáticas, Universidad Carlos III de Madrid, Leganés 28911, SpainIn 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.http://dx.doi.org/10.1155/IJMMS/2006/74507 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Javier Hernández Francisco Marcellán |
| spellingShingle |
Javier Hernández Francisco Marcellán Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−A International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Javier Hernández Francisco Marcellán |
| author_sort |
Javier Hernández |
| title |
Classical orthogonal polynomials and Leverrier-Faddeev algorithm
for the matrix pencils sE−A |
| title_short |
Classical orthogonal polynomials and Leverrier-Faddeev algorithm
for the matrix pencils sE−A |
| title_full |
Classical orthogonal polynomials and Leverrier-Faddeev algorithm
for the matrix pencils sE−A |
| title_fullStr |
Classical orthogonal polynomials and Leverrier-Faddeev algorithm
for the matrix pencils sE−A |
| title_full_unstemmed |
Classical orthogonal polynomials and Leverrier-Faddeev algorithm
for the matrix pencils sE−A |
| title_sort |
classical orthogonal polynomials and leverrier-faddeev algorithm
for the matrix pencils se−a |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/74507 |
| work_keys_str_mv |
AT javierhernandez classicalorthogonalpolynomialsandleverrierfaddeevalgorithmforthematrixpencilssea AT franciscomarcellan classicalorthogonalpolynomialsandleverrierfaddeevalgorithmforthematrixpencilssea |
| _version_ |
1725507015704313856 |