Title
Total positivity and accurate computations with Gram matrices of Bernstein bases
Abstract
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.
Year
DOI
Venue
2022
10.1007/s11075-022-01284-0
Numerical Algorithms
Keywords
DocType
Volume
High relative accuracy, Bidiagonal decompositions, Totally positive matrices, Gram matrices, Bernstein bases
Journal
91
Issue
ISSN
Citations 
2
1017-1398
0
PageRank 
References 
Authors
0.34
19
3
Name
Order
Citations
PageRank
Mainar E.100.34
J. M. Peña268172.88
Rubio B.300.34