Least supported bases and local linear independence
type: Item
instance of: scholarly article
title: Least supported bases and local linear independence
zbMATH Open document ID: 0791.65006
author: J. M. Carnicer
author: J. M. Peña
published in: Numerische Mathematik
publication date: 1994-05-18T00:00:00Z
review text: We introduce the concept of least supported basis, which is very useful for numerical purposes. We prove that this concept is equivalent to the local linear independence of the basic functions. For any given basis of locally linearly independent functions we characterize all the bases of the space sharing the same property. Several examples for spline spaces are given.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 569101
zbMATH Keywords: least supported basis
zbMATH Keywords: local linear independence
zbMATH Keywords: basic functions
zbMATH Keywords: spline spaces
MaRDI profile type: Publication
full work available at URL: s002110050029
OpenAlex ID: W2062941631
DOI: 10.1007/S002110050029
description: scientific article; zbMATH DE number 569101