The exact condition of the B-spline basis may be hard to determine

DOI10.1016/0021-9045(90)90064-WzbMath0687.41011OpenAlexW2147692229MaRDI QIDQ1263023

Carl De Boor

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90064-w

zbMATH Keywords

numerical resultsB-spline

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items

Generalized spline wavelets ⋮ Lower bounds for the approximation with variation-diminishing splines ⋮ An algorithm for solving linear Volterra integro-differential equations ⋮ On condition numbers of a basis ⋮ On the condition of cubic B-splines ⋮ Efficient computation of Favard constants and their connection to Euler polynomials and numbers ⋮ B-splines and optimal stability ⋮ Stability of tensor product B-splines on domains ⋮ New upper bound for the \(B\)-spline basis condition number II. A proof of de Boor's \(2^k\)-conjecture ⋮ On the \(L_1\)-condition number of the univariate Bernstein basis

Uses Software

• Matlab

Cites Work

• A note on the condition numbers of the B-spline bases
• A practical guide to splines
• On the existence of interpolating projections onto spline spaces
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