A generalized Taylor factorization for Hermite subdivision schemes |
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Authors: | Jean-Louis Merrien |
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Institution: | a INSA de Rennes, 20 av. des Buttes de Coesmes, CS 14315, 35043 RENNES CEDEX, Franceb Lehrstuhl für Numerische Mathematik, Justus-Liebig-Universität Gießen, Heinrich-Buff-Ring 44, D-35392 Gießen, Germany |
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Abstract: | In a recent paper, we investigated factorization properties of Hermite subdivision schemes by means of the so-called Taylor factorization. This decomposition is based on a spectral condition which is satisfied for example by all interpolatory Hermite schemes. Nevertheless, there exist examples of Hermite schemes, especially some based on cardinal splines, which fail the spectral condition. For these schemes (and others) we provide the concept of a generalized Taylor factorization and show how it can be used to obtain convergence criteria for the Hermite scheme by means of factorization and contractivity. |
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Keywords: | 41A60 65D15 13P05 |
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