Conference paper

Publication year: 2011

Pages: 565-574

Journal: Journal of Computational and Applied Mathematics

Volume number: 236

Issue number: 4

ISSN: 0377-0427

Open access status: Bronze

DOI Link: https://doi.org/10.1016/j.cam.2011.06.011

Conference: International Workshop on Multivariate Approximation and Interpolation with Applications (MAIA)

Publisher: Elsevier

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. (C) 2011 Published by Elsevier B.V.

Harvard Citation style: Merrien, J. and Sauer, T. (2011) A generalized Taylor factorization for Hermite subdivision schemes, Journal of Computational and Applied Mathematics, 236(4), pp. 565-574. https://doi.org/10.1016/j.cam.2011.06.011

APA Citation style: Merrien, J., & Sauer, T. (2011). A generalized Taylor factorization for Hermite subdivision schemes. Journal of Computational and Applied Mathematics. 236(4), 565-574. https://doi.org/10.1016/j.cam.2011.06.011