Convexity preserving interpolation with exponential splines (Q1068299)
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scientific article; zbMATH DE number 3929614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convexity preserving interpolation with exponential splines |
scientific article; zbMATH DE number 3929614 |
Statements
Convexity preserving interpolation with exponential splines (English)
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1986
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Sufficient and necessary conditions are derived under which interpolating splines are convex if the data set is in convex position. In order to select one of the interpolants, by means of a well-known objective function a quadratic optimization problem is stated which can be solved effectively by passing to a dual program.
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convexity conditions
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weakly coupled system of inequalities
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numerical algorithms
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quadratic programming
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unconstrained dual program with tridiagonal Hessian
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interpolating splines
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quadratic optimization problem
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