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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 | Citation: | 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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