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

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).

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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Published date: August 2007
Organisations: Operational Research


Local EPrints ID: 54537
ISSN: 0926-6003
PURE UUID: d9ebc75c-9250-443b-9a2e-f1e8df5e577b

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

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

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