Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues
Numerical Analysis
2018-01-18 v2 Functional Analysis
Abstract
A representation of the Pad\'e approximation of the -transform of a signal as a resolvent of a tridiagonal matrix is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix are proposed. Their numerical stability is tested and compared. Methods for computing forward and backward errors are presented.
Cite
@article{arxiv.1712.01155,
title = {Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues},
author = {Luca Perotti and Michal Wojtylak},
journal= {arXiv preprint arXiv:1712.01155},
year = {2018}
}