Shape-preserving interpolation by cubic splines (Q650350)
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scientific article; zbMATH DE number 5980724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shape-preserving interpolation by cubic splines |
scientific article; zbMATH DE number 5980724 |
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Shape-preserving interpolation by cubic splines (English)
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25 November 2011
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Interpolating polynomial splines in one dimension and of degree three are considered. It is desirable to construct splines which are \(k\)-times monotone when \(k\)-monotone data are given that are being interpolated (this is usually called a ``shape-preserving'' property). Such a solution is constructed for \(k\) up to four.
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cubic spline
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shape-preserving interpolation
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\(k\)-monotonicity
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\(B\)-spline
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matrix with diagonal dominance
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