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Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation

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arxiv 2302.10476 v2 pith:YPPFCW73 submitted 2023-02-21 physics.comp-ph cond-mat.str-el

Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation

classification physics.comp-ph cond-mat.str-el
keywords methodnevanlinnacontinuationimplementationanalyticcalculationsjuliaapplied
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce a Julia implementation of the recently proposed Nevanlinna analytic continuation method. The method is based on Nevanlinna interpolants and, by construction, preserves the causality of a response function. For theoretical calculations without statistical noise, this continuation method is a powerful tool to extract real-frequency information from numerical input data on the Matsubara axis. This method has been applied to first-principles calculations of correlated materials. This paper presents its efficient and full-featured open-source implementation of the method including the Hamburger moment problem and smoothing.

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