Title: Duality in vector Padé-Hermite approximation problems
Authors: De Samblanx, Gorik ×
Van Barel, Marc
Bultheel, Adhemar #
Issue Date: Jan-1996
Publisher: Elsevier
Series Title: Journal of Computational and Applied Mathematics vol:66 issue:1-2 pages:153-166
Conference: International Conference on Computational and Applied Mathematics location:Leuven, Belgium date:25-30 July 1994
Abstract: The article defines a class of dual vector Padé-Hermite problems. It describes dual basis matrices for the solution spaces of such problems and proves their properties. We show how degree restrictions can be imposed on vector Padé-Hermite problems and what the effect is on the dual basis matrices. We also show that the classical duality between Padé-Hermite problems of type I and type II is a special case of vector Padé-Hermite duality. This is proved without the classical restrictive assumption of normality. The article proposes an algorithm that solves two dual vector Padé-Hermite problems at the same time, returning dual basis matrices of the respective solution spaces.
ISSN: 0377-0427
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
Technologiecluster ESAT Elektrotechnische Engineering
Electrical Engineering (ESAT) TC, Technology Campus De Nayer Sint-Katelijne-Waver
× corresponding author
# (joint) last author

Files in This Item:
File Status SizeFormat
VPH.pdf Published 197KbAdobe PDFView/Open


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science