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Memorias de investigación
Communications at congresses:
Explicit representation of hessenbergians: Application to General Orthogonal Polynomials
Year:2009
Research Areas
  • Mathematics
Information
Abstract
An explicit representation for the determinant of any upper Hessenberg matrix in C, with non nulls subdiagonal terms, is achieved by means of a quasi-triangular matrix with the same determinant value. It gives rise to a representation with nested functions on matrix elements from the original Hessenberg matrix. Like an interesting application, this representation is introduced on polynomials belonging to general orthogonal sequences on the complex plane. The compact representation is valid for any known, or unknown, class of general orthogonal polynomials. Comparison with recognized representations of some orthogonal polynomials illustrates its generality.
International
Si
Congress
14th International Congress on Computational and Applied Mathematics
960
Place
Antalya (Turquía)
Reviewers
Si
ISBN/ISSN
1111111111
Start Date
29/09/2009
End Date
02/10/2009
From page
44
To page
44
ICCAM2009 Programme and Submitted Abstracts Book
Participants
  • Autor: Venancio Tomeo Perucha (UPM)
  • Autor: Jesus Carmelo Abderraman Marrero (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
  • Departamento: Matemática Aplicada (Facultad de Informática)
  • Departamento: Matemática Aplicada a las Tecnologías de la Información
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