Pole recovery from noisy data on imaginary axis

DOI10.1007/s10915-022-01963-zzbMath1502.30096arXiv2202.02670OpenAlexW4226477720WikidataQ114209680 ScholiaQ114209680MaRDI QIDQ2674259

Lexing Ying

Publication date: 22 September 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.02670

zbMATH Keywords

meromorphic functionspolesresidues

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (2)

Analytic continuation from limited noisy Matsubara data ⋮ ACFlow: an open source toolkit for analytic continuation of quantum Monte Carlo data

Uses Software

• RKToolbox
• AAA

Cites Work

• Parameter estimation for nonincreasing exponential sums by Prony-like methods
• Nonlinear inversion of a band-limited Fourier transform
• Parameter estimation for exponential sums by approximate prony method
• Computation of adaptive Fourier series by sparse approximation of exponential sums
• On approximation of functions by exponential sums
• Super-resolution, Extremal Functions and the Condition Number of Vandermonde Matrices
• Barycentric Lagrange Interpolation
• Robust Padé Approximation via SVD
• Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients
• The RKFIT Algorithm for Nonlinear Rational Approximation
• The AAA Algorithm for Rational Approximation
• Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions

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