On the L 1-condition number of the univariate Bernstein basis-Reference-Cited by-同舟云学术

On the L 1-condition number of the univariate Bernstein basis

Published:2002-12 Issue:4 Volume:18 Page:503-528
ISSN:0176-4276
Container-title:Constructive Approximation
language:en
Short-container-title:Constr. Approx.

Author:

Lyche Tom,Scherer Karl

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00365-002-0507-0.pdf

Reference14 articles.

1. C. de Boor (1976): On local linear fuctionals which vanish at all B-splines but one. In: Theory of Approximation with Applications (A. G. Law, B. N. Sahney, eds.). New York: Academic Press, pp. 120–145.

2. C. de Boor (1990): The exact condition of the B-spline basis may be hard to determine. J. Approx. Theory, 60:344–359.

3. Z. Ciesielskii, J. Domsta (1985): The degenerate B-spline basis as basis in the space of algebraic polynomials. Ann. Polon. Math., XXVI:71–79.

4. R. DeVore, G. G. Lorentz (1993): Constructive Approximation. New York: Springer-Verlag.

5. T. Lyche (1978): A note on the condition numbers of the B-spline bases. J. Approx. Theory, 22:202–205.

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1. Deriving Novel Formulas and Identities for the Bernstein Basis Functions and Their Generating Functions;Mathematical Methods for Curves and Surfaces;2014

2. On condition numbers of a basis;Linear Algebra and its Applications;2013-12

3. Uniformly Conditioned Bases of Spectral Subspaces;Numerical Functional Analysis and Optimization;2013-02

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5. Addendum to "On the L1-Condition Number of the Univariate Bernstein Basis";Constructive Approximation;2006-04-21