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Essai experimental et analytique
H. Wilber, Anil Damle, Alex Townsend (2021)
Data-driven Algorithms for signal processing with rational functionsArXiv, abs/2105.07324
H. Bruus, K. Flensberg (2004)
Many-body quantum theory in condensed matter physics - an introduction
G. Beylkin, Lucas Monzón (2005)
On approximation of functions by exponential sumsApplied and Computational Harmonic Analysis, 19
Nadiia Derevianko, G. Plonka-Hoch (2021)
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier CoefficientsArXiv, abs/2103.07743
Y. Nakatsukasa, O. Sète, L. Trefethen (2016)
The AAA Algorithm for Rational ApproximationSIAM J. Sci. Comput., 40
Jean-Paul Berrut, L. Trefethen (2004)
Barycentric Lagrange InterpolationSIAM Rev., 46
D. Logan (2005)
Many-Body Quantum Theory in Condensed Matter Physics—An IntroductionJournal of Physics A: Mathematical and General, 38
Jiani Fei, Chia-Nan Yeh, D. Zgid, E. Gull (2021)
Analytical continuation of matrix-valued functions: Carathéodory formalismPhysical Review B
Mario Berljafa, S. Güttel (2017)
The RKFIT Algorithm for Nonlinear Rational ApproximationSIAM J. Sci. Comput., 39
G. Plonka, Vlada Pototskaia (2016)
Application of the AAK theory for sparse approximation of exponential sumsarXiv: Numerical Analysis
Carlos Mejuto-Zaera, Leonardo Zepeda-N'unez, M. Lindsey, N. Tubman, Birgitta Whaley, Lin Lin (2019)
Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxationPhysical Review B
D. Potts, M. Tasche (2013)
Parameter estimation for nonincreasing exponential sums by Prony-like methodsLinear Algebra and its Applications, 439
Ankur Moitra (2014)
Super-resolution, Extremal Functions and the Condition Number of Vandermonde MatricesProceedings of the forty-seventh annual ACM symposium on Theory of Computing
G. Beylkin, Lucas Monzón (2009)
Nonlinear inversion of a band-limited Fourier transformApplied and Computational Harmonic Analysis, 27
B. Gustavsen, A. Semlyen (1999)
Rational approximation of frequency domain responses by vector fittingIEEE Transactions on Power Delivery, 14
P. Gonnet, S. Güttel, L. Trefethen (2013)
Robust Padé Approximation via SVDSIAM Rev., 55
D. Potts, M. Tasche (2010)
Parameter estimation for exponential sums by approximate Prony methodSignal Process., 90
Lexing Ying (2022)
Analytic continuation from limited noisy Matsubara dataJ. Comput. Phys., 469
Jia Fei, Chia-Nan Yeh, E. Gull (2020)
Nevanlinna Analytical Continuation.Physical review letters, 126 5
R. Servedio, R. Rubinfeld (2015)
Proceedings of the forty-seventh annual ACM symposium on Theory of ComputingProceedings of the forty-seventh annual ACM symposium on Theory of Computing
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
This note proposes an algorithm for identifying the poles and residues of a meromorphic function from its noisy values on the imaginary axis. The algorithm uses Möbius transform and Prony’s method in the frequency domain. Numerical results are provided to demonstrate the performance of the algorithm.
Journal of Scientific Computing – Springer Journals
Published: Sep 1, 2022
Keywords: Rational approximation; Prony’s method; Analytic continuation; 30B40; 93B55
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