On rational functions without Froissart doublets

DOI10.1007/s00211-017-0917-3zbMath1390.41016arXiv1605.00506OpenAlexW2963762706MaRDI QIDQ2413468

Ana C. Matos, Bernhard Beckermann, George Labahn

Publication date: 10 April 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00506

zbMATH Keywords

parametersrational functionszeropoleFroissart doubletsspherical derivativeSylvester-type matrix

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Padé approximation (41A21)

Related Items (5)

Exact interpolation, spurious poles, and uniform convergence of multipoint Padé approximants ⋮ Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates ⋮ On uniform convergence of diagonal multipoint Padé approximants for entire functions ⋮ The AAA Algorithm for Rational Approximation ⋮ Approximating the solution of integro-differential problems via the spectral tau method with filtering

Cites Work

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• Parameter estimation for nonincreasing exponential sums by Prony-like methods
• Robust Padé approximants may have spurious poles
• Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation
• When are two numerical polynomials relatively prime?
• Padé approximations in noise filtering
• Normal families
• Algebraic properties of robust Padé approximants
• Modern Computer Algebra
• Sparse Interpolation and Rational Approximation
• On the Continuity of the Padé Operator
• Structured Perturbations Part I: Normwise Distances
• Robust Padé Approximation via SVD
• Symbolic-numeric sparse interpolation of multivariate polynomials

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