Descripción
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A new proof of the general representation for the entries of the inverse of any unreduced Hessenberg matrix of nite order is found. Also this formulation is extended to the inverses of reduced Hessenberg matrices. Those entries are given with proper Hessenbergians from the original matrix. It justies both the use of linear recurrences for such computations and some elementary properties of the inverse matrix. As an application of current interest in the theory of orthogonal polynomials on the complex plane, the resolvent matrix associated to a nite Hes- senberg matrix in standard form is calculated. The results are illustrated with two examples on the unit disk. | |
Internacional
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Si |
Nombre congreso
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11th International Conference on Computational and Mathematical Methods in Science and Engineering CMMSE 2010 |
Tipo de participación
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960 |
Lugar del congreso
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Almeria, Spain |
Revisores
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Si |
ISBN o ISSN
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978-84-613-5510-5 |
DOI
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Fecha inicio congreso
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26/06/2010 |
Fecha fin congreso
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30/06/2010 |
Desde la página
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1 |
Hasta la página
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12 |
Título de las actas
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Proceedings of the 2010 International Conference on Computational and Mathematical Methods in Science and Engineering |