Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF01888158
Title: Construction of lattices for lagrange interpolation in projective space
Authors: Lee, S.L. 
Phillips, G.M.
Keywords: AMS classification: 41A05, 41A10, 41A63, 51N15
de Casteljau-Neville-Aitken algorithm
Lagrange interpolation
Projective k-space
Projective transformation
Issue Date: Dec-1991
Source: Lee, S.L., Phillips, G.M. (1991-12). Construction of lattices for lagrange interpolation in projective space. Constructive Approximation 7 (1) : 283-297. ScholarBank@NUS Repository. https://doi.org/10.1007/BF01888158
Abstract: In this article we construct a lattice of points which lie on k+1 pencils of hyperplanes in the projective k-space, where, with a suitable choice of coordinate system, simple equations of the hyperplanes are obtained. This enables us to construct an interpolation formula on the projective k-space from which interpolating polynomials on a general class of lattices in the Euclidean k-space are obtained via a projective transformation. © 1991 Springer-Verlag New York Inc.
Source Title: Constructive Approximation
URI: http://scholarbank.nus.edu.sg/handle/10635/103053
ISSN: 01764276
DOI: 10.1007/BF01888158
Appears in Collections:Staff Publications

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