Representation of sparse Legendre expansions

DOI10.1016/j.jsc.2012.06.002zbMath1261.65016OpenAlexW2063848785MaRDI QIDQ1930163

Thomas Peter, Daniela Roşca, Gerlind Plonka-Hoch

Publication date: 10 January 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2012.06.002

zbMATH Keywords

algorithmLegendre polynomialsnonlinear approximationannihilating filterslinear Hankel systemsparse polynomial expansions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Algorithms for approximation of functions (65D15) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (8)

Reconstruction of sparse Legendre and Gegenbauer expansions ⋮ Sparse polynomial interpolation with Bernstein polynomials ⋮ Nonlinear approximation in bounded orthonormal product bases ⋮ Multiscale matrix pencils for separable reconstruction problems ⋮ Sparse polynomial interpolation in Chebyshev bases ⋮ The generalized operator based Prony method ⋮ Sparse sums with bases of Chebyshev polynomials of the third and fourth kind ⋮ Rapidly computing sparse Legendre expansions via sparse Fourier transforms

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