ACCURATE COMPUTATIONS WITH COLLOCATION MATRICES OF q-BERNSTEIN POLYNOMIALS

被引：38

作者：

Delgado, Jorge ^{[1
]}

Pena, J. M. ^{[2
]}

机构：

[1] Univ Zaragoza, Escuela Univ Politecn Teruel, Dept Matemat Aplicada, E-44071 Teruel, Spain

[2] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2015年 / 36卷 / 02期

关键词：

accurate computations; bidiagonal decompositions; totally positive matrices; q-Bernstein basis; TOTALLY NONNEGATIVE MATRICES; NEVILLE ELIMINATION; POSITIVE MATRICES; BASES;

D O I：

10.1137/140993211

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The q-Bernstein-Vandermonde matrices are the collocation matrices of the q-Bernstein basis. This paper provides a method that allows us to compute to high relative accuracy the eigenvalues and singular values of these matrices, as well as their inverses.

引用

页码：880 / 893

页数：14

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