On orthogonal polynomials transformed by the QR algorithm (Q1195725)
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scientific article; zbMATH DE number 85926
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On orthogonal polynomials transformed by the QR algorithm |
scientific article; zbMATH DE number 85926 |
Statements
On orthogonal polynomials transformed by the QR algorithm (English)
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18 January 1993
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The authors make a comparative study between two equivalent ways of transforming a system of orthogonal polynomials. The lifting of the recurrence relation associated with an orthogonal polynomial system (OPS) is compared with applying the QR algorithm to the Jacobi matrix of the OPS. The authors use this transformation of identifying the Sobolev orthogonal polynomials. They obtain a new class of modified Lommel polynomials.
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Hankel determinants
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system of orthogonal polynomials
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recurrence relation
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QR algorithm
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Jacobi matrix
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Sobolev orthogonal polynomials
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modified Lommel polynomials
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