Joint spectral radius and ternary hermite subdivision

被引：7

作者：

Charina, M. ^{[1
]}

Conti, C. ^{[2
]}

Mejstrik, T. ^{[1
]}

Merrien, J. -L. ^{[3
]}

机构：

[1] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[2] Univ Firenze, DIEF, Viale Morgagni 40-44, I-50134 Florence, Italy

[3] Univ Rennes, INSA Rennes, CNRS, IARMAR UMR 6625, F-35000 Rennes, France

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2021年 / 47卷 / 02期

基金：

奥地利科学基金会;

关键词：

Hermite subdivision; Hermite interpolation; Joint spectral radius; Taylor operator; SCHEMES; REGULARITY; MATRICES;

D O I：

10.1007/s10444-021-09854-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct a family of ternary interpolatory Hermite subdivision schemes of order 1 with small support and HC2-smoothness. Indeed, leaving the binary domain, it is possible to derive interpolatory Hermite subdivision schemes with higher regularity than the existing binary examples. The family of schemes we construct is a two-parameter family whose HC2-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.

引用

页数：23

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