Pade and Hermite-Pade approximation and orthogonality
Classical Analysis and ODEs
2013-10-16 v1 Numerical Analysis
Abstract
We give a short introduction to Pade approximation (rational approximation to a function with close contact at one point) and to Hermite-Pade approximation (simultaneous rational approximation to several functions with close contact at one point) and show how orthogonality plays a crucial role. We give some insight into how logarithmic potential theory helps in describing the asymptotic behavior and the convergence properties of Pade and Hermite-Pade approximation.
Cite
@article{arxiv.math/0609094,
title = {Pade and Hermite-Pade approximation and orthogonality},
author = {Walter Van Assche},
journal= {arXiv preprint arXiv:math/0609094},
year = {2013}
}
Comments
31 pages