Optimally stable multivariate bases
type: Item
instance of: scholarly article
title: Optimally stable multivariate bases
zbMATH Open document ID: 1041.65017
DOI: 10.1023/A:1025863309959
published in: Advances in Computational Mathematics
publication date: 2004-03-15T00:00:00Z
review text: For spaces of multivariate polynomials and multivariate splines, bases of triangular Bernstein polynomials and tensor product B-splines are most useful due to a variety of their properties. Among those, the nonnegativity or even a partition of unity property are important. In this paper, their numerical stability/conditioning is shown to be optimal as a new important aspect.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 2057587
zbMATH Keywords: optimal stability
zbMATH Keywords: condition number
zbMATH Keywords: tensor product B-spline
zbMATH Keywords: triangular Bernstein basis
author: Tom Lyche
author: J. M. Peña
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2057587