论文信息 - Optimally Stable Multivariate Bases

Optimally Stable Multivariate Bases

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.

Tom Lyche | Juan Manuel Peña | T. Lyche | J. Peña

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