On the Sup-norm Condition Number of the Multivariate Triangular Bernstein Basis
We give an upper bound for the L ∞ condition number of the triangular Bernstein basis for polynomials of total degree at most n in s variables. The upper bound grows like (s + 1) n when n tends to infinity. Moreover the upper bound is independent of s for s ≥ n — 1.
KeywordsCondition Number Asymptotic Formula Total Degree Bernstein Basis Chebyshev System
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