Displacement structures and fast inversion formulas for \(q\)-adic Vandermonde-like matrices (Q1765354)
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scientific article; zbMATH DE number 2137359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Displacement structures and fast inversion formulas for \(q\)-adic Vandermonde-like matrices |
scientific article; zbMATH DE number 2137359 |
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Displacement structures and fast inversion formulas for \(q\)-adic Vandermonde-like matrices (English)
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23 February 2005
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The class of ordinary Vandermonde-like matrices over the complex field is generalized by introducing a new class of \(q\)-adic Vandermonde-like matrices over an arbitrary non-algebraically closed field. Three kinds of displacement structures and fast inversion formulas for this class of matrices are presented by using a method from displacement structure theory. This paper generalizes some well-known results for confluent Vandermonde-like matrices in the closed field case.
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q-adic Vandermonde matrix
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displacement structure
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inversion formula
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