Abstract
In the first part of this paper we apply a saddle point theorem from convex analysis to show that various constrained minimization problems are equivalent to the problem of smoothing by spline functions. In particular, we show that near-interpolants are smoothing splines with weights that arise as Lagrange multipliers corresponding to the constraints in the problem of near-interpolation. In the second part of this paper we apply certain fixed point iterations to compute these weights. A similar iteration is applied to the computation of the smoothing parameter in the problem of smoothing.
Original language | American English |
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Journal | Mathematics of Computation |
Volume | 72 |
State | Published - Oct 1 2003 |
Keywords
- Near-Interpolation
- Smoothing
DC Disciplines
- Education
- Mathematics