O. Davydov, On the computation of stable local bases for bivariate polynomial splines, in "Trends in Approximation Theory" (K.Kopotun, T.Lyche, and M.Neamtu, Eds.), pp. 85-94, Vanderbilt University Press, 2001.

Abstract: We show that stable local bases for the spaces of polynomial splines on a triangulation of a bivariate polygonal domain can be efficiently computed by using either singular value decomposition or pivoted QR-decompositon of certain small matrices of nodal smoothness conditions.

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