On the calculation of the poles of multivariate meromorphic functions using the symbolic-numeric two-point qd-algorithm
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Publication:780406
DOI10.1007/s11075-020-00887-9zbMath1452.65034OpenAlexW3016977152MaRDI QIDQ780406
A. Elidrissi, J. Abouir, Brahim Benouahmane
Publication date: 15 July 2020
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-020-00887-9
eigenvaluesmultivariate approximationseries expansionsmeromorphic functionspolesqd-algorithmtwo-point Padé approximants
Padé approximation (41A21) Multidimensional problems (41A63) Algorithms for approximation of functions (65D15)
Cites Work
- Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate
- \(qd\) block algorithm
- Padé-type approximation and general orthogonal polynomials
- Stable multi-dimensional model reduction and IIR filter design
- On certain applications of two-point Padé type approximants with a single pole
- On two-point Padé-type and two-point Padé approximants
- On the convergence of the multivariate ``homogeneous qd-algorithm
- Generalized \(qd\) algorithm for block band matrices
- On the convergence of two-point Padé-type approximants
- Der Quotienten-Differenzen-Algorithmus
- Stability of general two-dimensional recursive digital filters
- Properties of multivariate homogeneous orthogonal polynomials
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