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The algorithm is based on the representation of the Lagrange interpolation formula in a suitable orthogonal basis, and takes advantage of a new matrix formulation together with the machine-specific optimized BLAS subroutine for the matrix-matrix product. Extension to interpolation on rectangles, triangles and ellipses is also described.<\/jats:p>","DOI":"10.1145\/1391989.1391994","type":"journal-article","created":{"date-parts":[[2008,11,6]],"date-time":"2008-11-06T13:49:43Z","timestamp":1225979383000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":10,"title":["Algorithm 886"],"prefix":"10.1145","volume":"35","author":[{"given":"Marco","family":"Caliari","sequence":"first","affiliation":[{"name":"University of Verona"}]},{"given":"Stefanode","family":"Marchi","sequence":"additional","affiliation":[{"name":"University of Verona"}]},{"given":"Marco","family":"Vianello","sequence":"additional","affiliation":[{"name":"University of Padua"}]}],"member":"320","published-online":{"date-parts":[[2008,10]]},"reference":[{"key":"e_1_2_2_1_1","unstructured":"AMD 2006. AMD Core Math Library (ACML). Version 3.6.0. Available at http:\/\/developer.amd.com\/acml.aspx. 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Encyclopedia of Mathematics and its Applications vol. 81. Cambridge University Press Cambridge. Dunkl C. F. and Xu Y. 2001. Orthogonal Polynomials of Several Variables . Encyclopedia of Mathematics and its Applications vol. 81. Cambridge University Press Cambridge.","DOI":"10.1017\/CBO9780511565717"},{"key":"e_1_2_2_14_1","first-page":"181","article-title":"Scattered data interpolation: tests of some methods","volume":"38","author":"Franke R.","year":"1982","journal-title":"Math. 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