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Construction of lattices for Lagrange interpolation in projective space - MaRDI portal

Construction of lattices for Lagrange interpolation in projective space (Q809280)

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scientific article; zbMATH DE number 4212681
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English
Construction of lattices for Lagrange interpolation in projective space
scientific article; zbMATH DE number 4212681

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    Construction of lattices for Lagrange interpolation in projective space (English)
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    1991
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    A lattice of points which lie on \(k+1\) pencils of hyperplanes in the projective k-space is constructed. So, with a suitable choice of the coordinate system simple equations of the hyperplanes are obtained. This way enables to construct an interpolation formula from which interpolating polynomials are obtained via a projective transformation.
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    Lagrange interpolation
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    de Casteljau-Neville-Aitken algorithm
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    projective k-space
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    interpolating polynomials
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