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A note on the condition numbers of the B-spline bases

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Publication:1246686
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DOI10.1016/0021-9045(78)90052-7zbMath0377.41013OpenAlexW2056407461MaRDI QIDQ1246686

Tom Lyche

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90052-7


Mathematics Subject Classification ID

Spline approximation (41A15)


Related Items

On the best conditioned bases of quadratic polynomials, Lower bounds for the approximation with variation-diminishing splines, On the condition of cubic B-splines, Efficient computation of Favard constants and their connection to Euler polynomials and numbers, The exact condition of the B-spline basis may be hard to determine, Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence, The B-spline basis in a space of algebraic polynomials, On the \(p\)-norm condition number of the multivariate triangular Bernstein basis, 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



Cites Work

  • Unnamed Item
  • On calculating with B-splines
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