Polynomial interpolation and Gaussian quadrature for matrix valued functions
Classical Analysis and ODEs
2025-10-20 v1 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.math/9307215,
title = {Polynomial interpolation and Gaussian quadrature for matrix valued functions},
author = {Walter Van Assche and Ann Sinap},
journal= {arXiv preprint arXiv:math/9307215},
year = {2025}
}