Polynomial interpolation and Gaussian quadrature for matrix valued functions

Fuente: arXiv
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Main Authors: Van Assche, Walter, Sinap, Ann
Format: Preprint
Published: 1993
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author Van Assche, Walter
Sinap, Ann
author_facet Van Assche, Walter
Sinap, Ann
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_math_9307215
institution arXiv
publishDate 1993
record_format arxiv
spellingShingle Polynomial interpolation and Gaussian quadrature for matrix valued functions
Van Assche, Walter
Sinap, Ann
Classical Analysis and ODEs
Numerical Analysis
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.
title Polynomial interpolation and Gaussian quadrature for matrix valued functions
topic Classical Analysis and ODEs
Numerical Analysis
url https://arxiv.org/abs/math/9307215