On circulant matrices for certain periodic spline and histospline projections-Reference-Cited by-同舟云学术

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On circulant matrices for certain periodic spline and histospline projections

Published:1987-08 Issue:1 Volume:36 Page:49-59
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Dubeau François,Savoie Jean

Abstract

We present a unified treatment of the band circulant matrices which occur in the periodic spline and histospline projection theory with equispaced knots. Explicit bounds for the norm of these matrices are given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. A Bound on the Inverse of a Band Matrix Which Occurs in Interpolation by Periodic Odd Order Splines

2. Asymptotic Expansions for Interpolating Periodic Splines

3. On band circulant matrices in the periodic spline interpolation theory

4. Généralisation de la série géométrique et applications;Dubeau;Ann. Sc. Math. Québec

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Periodic polynomial spline histopolation;Proceedings of the Estonian Academy of Sciences;2018

2. References;Handbook of Splines;1999

3. Explicit Error Bounds for Spline Interpolation on a Uniform Partition;Journal of Approximation Theory;1995-07

4. Histospline projections on a uniform partition;Journal of Approximation Theory;1988-10

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