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Memorias de investigación
Communications at congresses:
Inverses of regular Hessenberg matrices
Year:2010
Research Areas
  • Mathematics
Information
Abstract
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 justi es 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.
International
Si
Congress
11th International Conference on Computational and Mathematical Methods in Science and Engineering CMMSE 2010
960
Place
Almeria, Spain
Reviewers
Si
ISBN/ISSN
978-84-613-5510-5
Start Date
26/06/2010
End Date
30/06/2010
From page
1
To page
12
Proceedings of the 2010 International Conference on Computational and Mathematical Methods in Science and Engineering
Participants
  • Autor: Jesus Carmelo Abderraman Marrero (UPM)
  • Autor: Venancio Tomeo Perucha (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
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