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

2017/12/04 by Luca Perotti, Perotti, Luca, Michał Wojtylak +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1712.01155

openalex publication_date 2017/12/04 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

A representation of the Pad 'e approximation of the Z-transform of a signal\nas a resolvent of a tridiagonal matrix J is given. Several formulas for the\npoles, zeros and residues of the Pad 'e approximation in terms of the matrix\nJ are proposed. Their numerical stability is tested and compared. Methods for\ncomputing forward and backward errors are presented.\n

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