Legendre-Bernstein basis transformations (Q1576454)
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scientific article; zbMATH DE number 1491254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Legendre-Bernstein basis transformations |
scientific article; zbMATH DE number 1491254 |
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Legendre-Bernstein basis transformations (English)
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31 May 2001
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The author derives the transformation matrices that map the Bernstein and Legendre forms of a degree-\(n\) polynomial on unit interval into each other, and examines the stability of this linear map. In the \(p= 1\) norm, the condition number of the Legendre-Bernstein transformation matrix grows at a significantly slower rate with \(n\).
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Legendre-Bernstein basis transformations
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orthogonal polynomials
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transformation matrices
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stability
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condition number
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