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We discuss the relation of three methods to determine energy levels in lattice QCD simulations: the generalised eigenvalue, the Prony and the generalised pencil of function methods.
1907
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George T. Fleming, Saul D. Cohen, Huey-Wen Lin, and Victor Pereyra, “Excited state effective masses,” Proceedings, 25th International Symposium on Lattice field theory (Lattice 2007): Regensburg, Germany, July 30-August 4, 2007 , PoS LATTICE2007
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Nikos Irges and Francesco Knechtli, “Lattice gauge theory approach to spontaneous symmetry breaking from an extra dimension,” Nucl. Phys. B775
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2009
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2010
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2014
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2015
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Jülich Supercomputing Centre, “JUQUEEN: IBM Blue Gene/Q Supercomputer System at the Jülich Supercomputing Centre,” Journal of large-scale research facilities 1
2015
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2016
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2010
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2010
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2011
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C. Aubin and K. Orginos, “An improved method for extracting matrix elements from lattice three-point functions,” Proceedings, 29th International Symposium on Lattice field theory (Lattice 2011): Squaw Valley, Lake Tahoe, USA, July 10-16, 2011 , PoS LATTICE2011
2011
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2011
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2012
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2012
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Abdussamad Jibia and Momoh Salami, “An Appraisal of Gardner Transform-Based Methods of Transient Multiexponential Signal Analysis,” International Journal of Computer Theory and Engineering 4
2012
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2017
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2017
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2018
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2018
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2018
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Jülich Supercomputing Centre, “JURECA: Modular supercomputer at Jülich Supercomputing Centre,” Journal of large-scale research facilities 4
2018
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S. Romiti and S. Simula, “Extraction of multiple exponential signals from lattice correlation functions,” Phys. Rev. D 100
2019
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Jülich Supercomputing Centre, “JUWELS: Modular Tier-0/1 Supercomputer at the Jülich Supercomputing Centre,” Journal of large-scale research facilities 5
2019
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R Core Team, R: A Language and Environment for Statistical Computing , R Foundation for Statistical Computing, Vienna, Austria (2019)
2019
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Bartosz Kostrzewa, Johann Ostmeyer, Martin Ueding, and Carsten Urbach, “hadron: package to extract hadronic quantities,” https://github.com/HISKP-LQCD/hadron (2020), R package version 3.0.1
2020
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