Rational spline interpolation to monotonic data (Q2718783)
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scientific article; zbMATH DE number 1597212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational spline interpolation to monotonic data |
scientific article; zbMATH DE number 1597212 |
Statements
9 May 2001
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spline interpolation
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monotonic data
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monotonicity preserving interpolation
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rational \(C^1\)-spline
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Rational spline interpolation to monotonic data (English)
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The author studies the interpolation of monotonic data by rational \(C^1\)-splines with linear numerators and linear denominators. It is shown that for any strictly monotonic data there exists a unique strictly monotonic interpolant. The construction of this interpolant requires the iterative solution of a nonlinear system by the Gauss-Seidel or Newton method.
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