•  
  •  
 

Turkish Journal of Mathematics

Abstract

We derive a generalization for the reconstruction of $M$-sparse sums in Chebyshev bases of the third and fourth kind. This work is used for a polynomial with Chebyshev sparsity and samples on a Chebyshev grid of $[-1,1]$. Further, fundamental reconstruction algorithms can be a way for getting M-sparse expansions of Chebyshev polynomials of the third and fourth kind. The numerical results for these algorithms are designed to compare the time effects of doing them.

DOI

10.3906/mat-1411-56

Keywords

Sparse interpolation, Chebyshev polynomial, Prony method, eigenvalue problem, Toeplitz-plus-Hankel matrix, SVD, QR decomposition

First Page

250

Last Page

271

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 1
  • Usage
    • Downloads: 47
    • Abstract Views: 7
see details

Included in

Mathematics Commons

Share

COinS