Total positivity and accurate computations with Gram matrices of Bernstein bases

被引：0
|
作者：
E. Mainar
J. M. Peña
B. Rubio
机构：
[1] Universidad de Zaragoza,Departamento de Matemática Aplicada/IUMA
来源：
Numerical Algorithms | 2022年 / 91卷
关键词：
High relative accuracy; Bidiagonal decompositions; Totally positive matrices; Gram matrices; Bernstein bases;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, an accurate method to construct the bidiagonal factorization of Gram (mass) matrices of Bernstein bases of positive and negative degree is obtained and used to compute with high relative accuracy their eigenvalues, singular values and inverses. Numerical examples are included.
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页码：841 / 859
页数：18
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