An efficient algorithm for generating univariate cubic \(L_1\) splines (Q702483)
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scientific article; zbMATH DE number 2128740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An efficient algorithm for generating univariate cubic \(L_1\) splines |
scientific article; zbMATH DE number 2128740 |
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An efficient algorithm for generating univariate cubic \(L_1\) splines (English)
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17 January 2005
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The authors study an alternative to the discretization based primal affine algorithm. This algorithm is an active set algorithm based on the geometric programming (GP)framework. The GP model includes a pair of primal and dual problems and a dual-to-primal transformation. They show that the proposed active set algorithm yields an exact solution for a cubic \(L_1\)-spline in a finite number of iterations and that, in stability and computational efficiency, it outperforms the widely used discretization based primal affine algorithm.
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cubic splines
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geometric programming
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primal affine algorithm
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iterations
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stability
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computational efficiency
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active set method
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convex programming
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