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Abstract: In this paper we present an algorithm for recursively generating orthogonal bivariate polynomials on a discrete set S R . For this purpose we employ commuting pairs of real symmetric matrices H;K 2 R to obtain, in a certain sense, a two dimensional Hermitian Lanczos method. The resulting algorithm relies on a recurrence having a slowly growing length. Practical implementation issues and applications are considered. The method can be generalized to compute orthogonal polynomials... (Update)
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BibTeX entry: (Update)
@misc{ huhtanen-generating,
author = "Marko Huhtanen and Rasmus Munk Larsen",
title = "On Generating Discrete Orthogonal Bivariate Polynomials",
url = "citeseer.ist.psu.edu/685514.html" }
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1 Orthogonal polynomials in several variables (context) - Weisfeld - 1959
1 Exclusion and inclusion regions for the eigenvalues of a nor.. - Huhtanen, Larsen - 2001
1 Strebel Least-squares tting of circles and ellipses (context) - Gander, Golub - 1994
1 On summation formulas due to Plana (context) - Dahlquist - 1997
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