Composite Hermite-Birkhoff quadrature formulas of Gaussian type

Author:
Nira Dyn

Journal:
Math. Comp. **43** (1984), 535-541

MSC:
Primary 41A55; Secondary 41A50

DOI:
https://doi.org/10.1090/S0025-5718-1984-0758200-6

MathSciNet review:
758200

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Abstract | References | Similar Articles | Additional Information

Abstract: We show how to combine incidence matrices, which admit Hermite-Birkhoff quadrature formulas of Gaussian type for any positive measure, in such a way that the resulting matrix also admits Gaussian type quadratures for any positive measure. Moreover, the uniqueness property and the extremal property of the formulas corresponding to the submatrices are transferred to the formula admitted by the composed matrix.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1984-0758200-6

Keywords:
Gaussian quadrature formulas,
Hermite-Birkhoff interpolation

Article copyright:
© Copyright 1984
American Mathematical Society