Title
Accurate Computations with Collocation Matrices of q-Bernstein Polynomials.
Abstract
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.
Year
DOI
Venue
2015
10.1137/140993211
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
Keywords
Field
DocType
accurate computations,bidiagonal decompositions,totally positive matrices,q-Bernstein basis
Mathematical optimization,Matrix analysis,Singular value,Algebra,Mathematical analysis,Matrix (mathematics),Bernstein polynomial,Eigenvalues and eigenvectors,Mathematics,Collocation,Computation
Journal
Volume
Issue
ISSN
36
2
0895-4798
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
J. Delgado110717.39
Juan Manuel Peña213126.55