Paper Info
Title
Accurate and efficient computations with Wronskian matrices of Bernstein and related bases
Abstract
In this article, we provide a bidiagonal decomposition of the Wronskian matrices of Bernstein bases of polynomials and other related bases such as the Bernstein basis of negative degree or the negative binomial basis. The mentioned bidiagonal decompositions are used to achieve algebraic computations with high relative accuracy for these Wronskian matrices. The numerical experiments illustrate the accuracy obtained using the proposed decomposition when computing inverse matrices, eigenvalues or singular values, and the solution of some related linear systems.
Year
DOI
Venue
2022
10.1002/nla.2423
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
Keywords
DocType
Volume
accurate computations, Bernstein bases, bidiagonal decompositions, collocation matrices, negative binomial basis, Wronskian matrices
Journal
29
Issue
ISSN
Citations 
3
1070-5325
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Esmeralda Mainar100.34
Juan M. Pena200.34
Beatriz Rubio321.40