Optimally Stable Multivariate Bases |
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| Authors: | Lyche,T.,Peñ a,J.M. |
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| Affiliation: | (1) Department of Informatics, University of Oslo, P.O. Box 1080, Blindern, 0316 Oslo, Norway;(2) Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain |
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| Abstract: | We show that the tensor product B-spline basis and the triangular Bernstein basis are in some sense best conditioned among all nonnegative bases for the spaces of tensor product splines and multivariate polynomials, respectively. We also introduce some new condition numbers which are analogs of component-wise condition numbers for linear systems introduced by Skeel. |
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| Keywords: | optimal stability condition number tensor product B-spline basis triangular Bernstein basis |
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