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31 July 2023 to 4 August 2023
America/Chicago timezone

Beyond Generalized Eigenvalues

1 Aug 2023, 19:48
3m
Atrium (WH1)

Atrium

WH1

Poster Presentation Poster session

Speaker

George Fleming (Fermilab)

Description

Two analysis techniques, the generalized eigenvalue method (GEM) or Prony's method (PM), are commonly used to analyze statistical estimates of correlation functions produced in lattice quantum field theory calculations. GEM takes full advantage of the matrix structure of correlation functions but only considers individual pairs of time separations when much more data exists. PM can be applied to many time separations and many individual matrix elements simultaneously but does not fully exploit the matrix structure of the correlation function. We combine both these methods into a single framework based on matrix polynomials which we call block Prony method (BPM).

Topical area Algorithms and Artificial Intelligence

Primary author

George Fleming (Fermilab)

Presentation materials