The formulae and algorithms for Lagrange-power basis transformation and Lagrange-Newton transformation (Q434593)
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scientific article; zbMATH DE number 6056790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The formulae and algorithms for Lagrange-power basis transformation and Lagrange-Newton transformation |
scientific article; zbMATH DE number 6056790 |
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The formulae and algorithms for Lagrange-power basis transformation and Lagrange-Newton transformation (English)
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16 July 2012
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The article presents the Lagrange-power basis transformation formula and its inverse transformation formula if the pairwise distinct knots are generated by \(x_i=y^i\), \(i=0,\dots,n-1\), with a primitve root \(\mu\). Then the Lagrange-Newton transformation formula is presented and the related algorithm to construct it is given.
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Lagrange-power basis transformation
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Lagrange-Newton transformation
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inverse transformation
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Lagrange basis
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Newton basis
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power basis
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Vandermonde matrix
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interpolation
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algorithm
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0.8354098
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0.82787704
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0.82373434
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0.8205898
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