Accession Number : ADA114487

Title :   A New Class of Hermite-Birkhoff Quadrature Formulas of Gaussian Type.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Dyn,Nira

PDF Url : ADA114487

Report Date : Dec 1981

Pagination or Media Count : 16

Abstract : It is shown 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. (Author)

Descriptors :   *Quadratic equations, *Formulas(Mathematics), *Matrices(Mathematics), Gaussian quadrature, Interpolation, Transfer, Methodology, Integrals, Approximation(Mathematics), Integration, Configurations, Polynomials, Weighting functions

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE