
Accession Number : ADA114487
Title : A New Class of HermiteBirkhoff Quadrature Formulas of Gaussian Type.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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 HermiteBirkhoff 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