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The existence and construction of rational Gauss-type quadrature rules - MaRDI portal

The existence and construction of rational Gauss-type quadrature rules (Q449490)

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scientific article; zbMATH DE number 6074620
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English
The existence and construction of rational Gauss-type quadrature rules
scientific article; zbMATH DE number 6074620

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    The existence and construction of rational Gauss-type quadrature rules (English)
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    30 August 2012
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    The authors study the existence and construction of rational Gauss-Radau \((m=1)\) and Gauss-Lobatto \((m=2)\) quadrature formulas. These are quadrature formulas with \(n\) positive weights and with the \(n-m\) remaining nodes real and distinct. The quadrature is exact in a \((2n-m)\)-dimensional space of rational functions.
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    quasi-orthogonal rational functions
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    generalized eigenvalue problem
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    positive rational interpolatory quadrature rules
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