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Article Dans Une Revue Advances in Computational Mathematics Année : 2021

Joint Spectral Radius and Ternary Hermite Subdivision

Résumé

In this paper we construct a family of ternary interpolatory Hermite subdivision schemes of order 1 with small support and HC 2-smoothness. Indeed, leaving the binary domain, it is possible to derive interpolatory Hermite subdivision schemes with higher regularity than their binary counterparts. The family of schemes we construct is a two-parameter family whose HC 2-smoothness is guaranteed whenever the parameters are chosen from a certain polygonal region. The construction of this new family is inspired by the geometric insight into the ternary interpolatory scalar three-point subdivision scheme by Hassan and Dodgson. The smoothness of our new family of Hermite schemes is proven by means of joint spectral radius techniques.
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Dates et versions

hal-02615136 , version 1 (22-05-2020)

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Jean-Louis Merrien, M Charina, C. Conti, T. Mejstrik. Joint Spectral Radius and Ternary Hermite Subdivision. Advances in Computational Mathematics, 2021, 47 (2), pp.article n° 25. ⟨10.1007/s10444-021-09854-X⟩. ⟨hal-02615136⟩
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