Optimally stable multivariate bases

被引：33
|
作者：
Lyche, T
Peña, JM
机构：
[1] Univ Oslo, Dept Informat, N-0316 Oslo, Norway
[2] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2004年 / 20卷 / 1-3期
关键词：
optimal stability; condition number; tensor product B-spline basis; triangular Bernstein basis;
D O I：
10.1023/A:1025863309959
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the tensor product B-spline basis and the triangular Bernstein basis are in some sense best conditioned among all nonnegative bases for the spaces of tensor product splines and multivariate polynomials, respectively. We also introduce some new condition numbers which are analogs of component-wise condition numbers for linear systems introduced by Skeel.
引用
收藏
页码：149 / 159
页数：11
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