Result: The efficient evaluation of the hypergeometric function of a matrix argument
Title:
The efficient evaluation of the hypergeometric function of a matrix argument
Authors:
Source:
Mathematics of computation. 75(254):833-846
Publisher Information:
Providence, RI: American Mathematical Society, 2006.
Publication Year:
2006
Physical Description:
print, 22 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Analyse mathématique, Mathematical analysis, Fonctions spéciales, Special functions, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Accélération de convergence, Acceleration of convergence, Analyse numérique, Numerical analysis, Análisis numérico, Complexité, Complexity, Complejidad, Développement série, Series expansion, Desarrollo serie, Evaluation, Evaluación, Fonction hypergéométrique, Hypergeometric function, Función hipergeométrica, Fonction matricielle, Matrix function, Función matricial, Matrice aléatoire, Random matrix, Matriz aleatoria, Valeur propre, Eigenvalue, Valor propio, Algorithme combinatoire, Combinatorial algorithm, Fonction Jack, Jack function, Polynôme zonal, Propriété combinatoire
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
DEPARTMENT OF MATHEMATICS, MASSACHUSETTS INSTITUTE OF TECHNOLOGY, Cambridge, Massachusetts 02139, United States
ISSN:
0025-5718
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.17671521
Database:
PASCAL Archive
Further Information
We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix.