Generalization of Padé approximation from rational functions to arbitrary analytic functions — Theory

DOI10.1090/S0025-5718-2015-02928-7zbMath1317.30057MaRDI QIDQ5246843

Can Evren Yarman, Garret M. Flagg

Publication date: 22 April 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Padé approximationrational functionsTaylor series

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21)

Related Items (4)

Approximation by amplitude and frequency operators ⋮ A generalized Padé-Lindstedt-Poincaré method for predicting homoclinic and heteroclinic bifurcations of strongly nonlinear autonomous oscillators ⋮ Sampling for approximating $R$-limited functions ⋮ Joint Gaussian dictionary learning and tomographic reconstruction

Uses Software

• Algorithm 644

Cites Work

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• A framework for the solution of the generalized realization problem
• Approximation by exponential sums revisited
• On approximation of functions by exponential sums
• Optimal Hankel-norm model reductions: Multivariable systems
• Approximation of Large-Scale Dynamical Systems
• Algorithm 644
• Mathematical Description of Linear Dynamical Systems
• Construction of Gauss-Christoffel Quadrature Formulas

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