Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues

17 Jan 2018  ·  Perotti Luca, Wojtylak Michal ·

A representation of the Pad\'e approximation of the $Z$-transform of a signal as a resolvent of a tridiagonal matrix $J$ is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix $J$ are proposed... Their numerical stability is tested and compared. Methods for computing forward and backward errors are presented. read more

PDF Abstract
No code implementations yet. Submit your code now


Numerical Analysis Functional Analysis