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Regularity and well-posedness of a dual program for convex best C1-spline interpolation

Record type: Article

An efficient approach to computing the convex best C1-spline interpolant to a given set of data is to solve an associated dual program by standard numerical methods (e.g., Newton’s method). We study regularity and well-posedness of the dual program: two important issues that have been not yet well-addressed in the literature. Our regularity results characterize the case when the generalized Hessian of the objective function is positive definite. We also give sufficient conditions for the coerciveness of the objective function. These results together specify conditions when the dual program is well-posed and hence justify why Newton’s method is likely to be successful in practice. Examples are given to illustrate the obtained results.

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Citation

Qi, Hou-Duo and Yang, Xiaoqi.Q. (2007) Regularity and well-posedness of a dual program for convex best C1-spline interpolation Computational Optimization and Applications, 37, pp. 409-425. (doi:10.1007/s10589-007-9027-y).

More information

Published date: August 2007
Organisations: Operational Research

Identifiers

Local EPrints ID: 54537
URI: http://eprints.soton.ac.uk/id/eprint/54537
ISSN: 0926-6003
PURE UUID: d9ebc75c-9250-443b-9a2e-f1e8df5e577b

Catalogue record

Date deposited: 28 Jul 2008
Last modified: 17 Jul 2017 14:35

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Contributors

Author: Hou-Duo Qi
Author: Xiaoqi.Q. Yang

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