Polynomial interpolation and Gaussian quadrature for matrix valued functions

Preprint

9 July 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9307215

Abstract

The techniques for polynomial interpolation and Gaussian quadrature are generalized to matrix-valued functions. It is shown how the zeros and rootvectors of matrix orthonormal polynomials can be used to get a quadrature formula with the highest degree of precision.

Keywords

INTERPOLATION AND GAUSSIAN
POLYNOMIAL INTERPOLATION
GAUSSIAN QUADRATURE
VALUED FUNCTIONS
HIGHEST DEGREE
MATRIX VALUED
POLYNOMIALS
QUADRATURE
FORMULA

All Related Versions

Version 1, 1993-07-09, ArXiv

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