On the calculation of the poles of multivariate meromorphic functions using the symbolic-numeric two-point qd-algorithm

The so-called quotient-difference algorithm, or qd-algorithm, is used for determining the poles of a meromorphic function from its Taylor coefficients. A generalization of this algorithm to the univariate and multivariate two-point cases applied to a power series (positive or negative exponents) is...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 84; no. 4; pp. 1443 - 1458
Main Authors:	Elidrissi, A., Abouir, J., Benouahmane, B.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2020 Springer Nature B.V
Subjects:	Algebra Algorithms Computer Science Eigenvalues Meromorphic functions Multivariate analysis Numeric Computing Numerical Analysis Original Paper Poles Polynomials Power series Series expansion Theory of Computation Thermal expansion Poles Multivariate approximation 41A20 Series expansions 41A21 Two-point Padé approximants Eigenvalues 65D15 qd-algorithm
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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