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From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks

Conti, Costanza and Gemignani, Luca and Romani, Lucia (2009) From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks. Linear Algebra and its Applications, 431 (10). pp. 1971-1987. ISSN 0024-3795

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    Abstract

    SUMMARY In this paper we present a general strategy to deduce a family of interpolatory masks from a symmetric Hurwitz non-interpolatory one. This brings back to a polynomial equation involving the symbol of the non-interpolatory scheme we start with. The solution of the polynomial equation here proposed, tailored for symmetric Hurwitz subdivision symbols, leads to an efficient procedure for the computation of the coefficients of the corresponding family of interpolatory masks. Several examples of interpolatory masks associated with classical approximating masks are given.

    Item Type: Article
    Uncontrolled Keywords: Hurwitz polynomial; Polynomial equation; Resultant matrix; Subdivision mask; Interpolatory scheme
    Subjects: Area01 - Scienze matematiche e informatiche > MAT/08 - Analisi numerica
    Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI MATEMATICA "L. TONELLI"
    Depositing User: Prof Luca Gemignani
    Date Deposited: 10 Feb 2010
    Last Modified: 20 Dec 2010 11:48
    URI: http://eprints.adm.unipi.it/id/eprint/652

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