On the \(p\)-norm condition number of the multivariate triangular Bernstein basis

DOI10.1016/S0377-0427(00)00383-6zbMath0966.65020MaRDI QIDQ1576462

Karl Scherer, Tom Lyche

Publication date: 1 August 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

error analysisapproximationcondition numbermultidimensional approximationmultivariate Bernstein basis

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

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Cites Work

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• A note on the condition numbers of the B-spline bases
• New upper bound for the \(B\)-spline basis condition number II. A proof of de Boor's \(2^k\)-conjecture
• A Markov inequality in several dimensions
• On the \(L_1\)-condition number of the univariate Bernstein basis
• Approximation by algebraic polynomials on simplexes
• The degenerate B-splines as a basis in the space of algebraic polynomials