Analytic continuation from limited noisy Matsubara data

DOI10.1016/j.jcp.2022.111549OpenAlexW4226089125MaRDI QIDQ2675618

Lexing Ying

Publication date: 24 September 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.09719

zbMATH Keywords

analytic continuationrational approximationProny's method

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical linear algebra (65Fxx) Approximations and expansions (41Axx)

Uses Software

• CVX
• RKToolbox
• Maxent
• AAA
• TRIQS/SOM

Cites Work

• Unnamed Item
• RKToolbox
• Parameter estimation for nonincreasing exponential sums by Prony-like methods
• Nonlinear inversion of a band-limited Fourier transform
• Implementation of the maximum entropy method for analytic continuation
• Quantifying the ill-conditioning of analytic continuation
• On approximation of functions by exponential sums
• Pole recovery from noisy data on imaginary axis
• Barycentric Lagrange Interpolation
• Robust Padé Approximation via SVD
• Mathematical Theory of Scattering Resonances
• The RKFIT Algorithm for Nonlinear Rational Approximation
• The AAA Algorithm for Rational Approximation
• Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions
• \texttt{TRIQS/SOM}: implementation of the stochastic optimization method for analytic continuation

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