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
Recommended Citation
SOLARY, M. S (2016). Sparse sums with bases of Chebyshev polynomials of the third and fourth kind. Turkish Journal of Mathematics 40 (2): 250-271. https://doi.org/10.3906/mat-1411-56
