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The Global ETD Search service is a free service for researchers
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Showing 1 to 2 of 2 (0.075 seconds)Spelling suggestions: "subject:"multivariate chebyshev polynomials"" "subject:"multivariate tchebyshev polynomials""
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Fast, exact and stable reconstruction of multivariate algebraic polynomials in Chebyshev formPotts, Daniel, Volkmer, Toni 16 February 2015 (has links) (PDF)
We describe a fast method for the evaluation of an arbitrary high-dimensional multivariate algebraic polynomial in Chebyshev form at the nodes of an arbitrary rank-1 Chebyshev lattice. Our main focus is on conditions on rank-1 Chebyshev lattices allowing for the exact reconstruction of such polynomials from samples along such lattices and we present an algorithm for constructing suitable rank-1 Chebyshev lattices based on a component-by-component approach. Moreover, we give a method for the fast, exact and stable reconstruction.
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Fast, exact and stable reconstruction of multivariate algebraic polynomials in Chebyshev formPotts, Daniel, Volkmer, Toni 16 February 2015 (has links)
We describe a fast method for the evaluation of an arbitrary high-dimensional multivariate algebraic polynomial in Chebyshev form at the nodes of an arbitrary rank-1 Chebyshev lattice. Our main focus is on conditions on rank-1 Chebyshev lattices allowing for the exact reconstruction of such polynomials from samples along such lattices and we present an algorithm for constructing suitable rank-1 Chebyshev lattices based on a component-by-component approach. Moreover, we give a method for the fast, exact and stable reconstruction.
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