An algebraic approach to polynomial reproduction of Hermite subdivision

Costanza Conti, Svenja Hüning

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We present an accurate investigation of the algebraic conditions that the symbols of a univariate, binary, Hermite subdivision scheme have to fulfil in order to reproduce polynomials. These conditions are sufficient for the scheme to satisfy the so called spectral condition. The latter requires the existence of particular polynomial eigenvalues of the stationary counterpart of the Hermite scheme. In accordance with the known Hermite schemes, we here consider the case of a Hermite scheme dealing with function values, first and second derivatives. Several examples of application of the proposed algebraic conditions are given in both the primal and the dual situation.
Original languageEnglish
Pages (from-to)302-315
JournalJournal of computational and applied mathematics
Volume349
DOIs
Publication statusPublished - Mar 2019

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Polynomial Reproduction
Algebraic Approach
Hermite
Subdivision
Polynomials
Derivatives
Subdivision Scheme
Polynomial
Second derivative
Value Function
Univariate
Binary
Sufficient
Eigenvalue

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An algebraic approach to polynomial reproduction of Hermite subdivision. / Conti, Costanza; Hüning, Svenja.

In: Journal of computational and applied mathematics, Vol. 349, 03.2019, p. 302-315.

Research output: Contribution to journalArticleResearchpeer-review

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