On the construction of optimal monotone cubic spline interpolations
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Publication:1283895
zbMath0934.41009MaRDI QIDQ1283895
Gerhard Opfer, H. J. Oberle, Sigrid Fredenhagen
Publication date: 4 April 2000
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Newton's methodoptimality conditionslocal baseHolladay approximationoptimal monotone cubic spline interpolationsstate restricted optimal control problem
Related Items
Markov-Dubins interpolating curves, The derivation of structural properties of LM-g splines by necessary condition of optimal control, Monotonicity-preserving interproximation of \(B\)-\(H\)-curves, Inference using shape-restricted regression splines
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Cites Work
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- A local algorithm for constructing non-negative cubic splines
- The derivation of cubic splines with obstacles by methods of optimization and optimal control
- Nonnegative splines, in particular of degree five
- Interpolation by smooth functions under restrictions on the derivatives
- Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables
- Best interpolation in a strip
- New necessary conditions of optimality for control problems with state- variable inequality constraints
- Monotone Piecewise Cubic Interpolation
- An Analysis of Two Algorithms for Shape-Preserving Cubic Spline Interpolation
- A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
- Best Constrained Approximation in Hilbert Space and Interpolation by Cubic Splines Subject to Obstacles
- A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures