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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Composite Hermite-Birkhoff quadrature formulas of Gaussian type
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by Nira Dyn PDF
Math. Comp. 43 (1984), 535-541 Request permission

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.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • 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