Sparse sums with bases of Chebyshev polynomials of the third and fourth kind

DOI10.3906/mat-1411-56zbMath1424.94045OpenAlexW2259605768MaRDI QIDQ4633104

Maryam Shams Solary

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1411-56

zbMATH Keywords

eigenvalue problemSVDQR decompositionChebyshev polynomialProny methodToeplitz-plus-Hankel matrixsparse interpolation

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (1)

Distribution of eigenvalues for sub-skewtriagonal Hankel matrices

Cites Work

• Parameter estimation for nonincreasing exponential sums by Prony-like methods
• Sparse Legendre expansions via \(\ell_1\)-minimization
• A survey on third and fourth kind of Chebyshev polynomials and their applications
• Representation of sparse Legendre expansions
• Finding eigenvalues for heptadiagonal symmetric Toeplitz matrices
• Sparse polynomial interpolation in Chebyshev bases
• Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
• A Stable Numerical Method for Inverting Shape from Moments
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