B-splines and optimal stability
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- by J. M. Peña PDF
- Math. Comp. 66 (1997), 1555-1560 Request permission
Abstract:
It is proved that, among all nonnegative bases of its space, the B-spline basis is optimally stable for evaluating spline functions.References
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Additional Information
- J. M. Peña
- Affiliation: Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain
- Email: jmpena@posta.unizar.es
- Received by editor(s): May 10, 1995
- Received by editor(s) in revised form: July 29, 1996
- Additional Notes: This work was partially supported by the Spanish Research Grant DGICYT PB93-0310 and by the EU project CHRX-CT94-0522.
- © Copyright 1997 American Mathematical Society
- Journal: Math. Comp. 66 (1997), 1555-1560
- MSC (1991): Primary 65D07, 41A15
- DOI: https://doi.org/10.1090/S0025-5718-97-00897-1
- MathSciNet review: 1433268