Duality in vector Padé-Hermite approximation problems
| Autor: | Gorik De Samblanx, Marc Van Barel, Adhemar Bultheel |
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| Rok vydání: | 1996 |
| Předmět: |
simultaneous pade approximation
Dual space Applied Mathematics Mathematical analysis hankel systems Mathematics::Classical Analysis and ODEs Coordinate vector Duality (optimization) Perturbation function Weak duality Computational Mathematics Vector Padé-Hermite approximation Dual basis Condensed Matter::Statistical Mechanics Strong duality Applied mathematics Hankel systems vector Pade-hermite approximation Simultaneous Padé approximation Dual pair Mathematics |
| Zdroj: | Scopus-Elsevier |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/0377-0427(95)00186-7 |
| Popis: | 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. ispartof: Journal of Computational and Applied Mathematics vol:66 issue:1 pages:153-166 ispartof: location:Leuven, Belgium status: published |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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