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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: 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