On the Existence of Hermite-Birkhoff Quadrature Formulas of Gaussian Type.

Abstract

Existence of Gaussian quadrature type formulas related to Hermite-Birkhoff interpolation is proved, for a class of incidence matrices satisfying the conditions of the Atkinson-Sharma Theorem. For the subclass of Hermite matrices this analysis furnishes yet another proof of the existence of Gaussian quadrature formulas with multiple nodes.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA077123

Entities

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  • Nira Dyn

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  • University of Wisconsin–Madison

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  • Construction
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  • Approximation Theory.
  • Linear Algebra