Journal Article

PUBDB-2023-05898

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png An Accelerated conjugate gradient algorithm to compute low lying eigenvalues: A Study for the Dirac operator in $SU(2)$ lattice QCD

Kalkreuter, T. ; Simma, H.

1996
North Holland Publ. Co. Amsterdam

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Please use a persistent id in citations: doi:10.1016/0010-4655(95)00126-3

Report No.: DESY-95-137; HUB-IEP-95-10; hep-lat/9507023

Abstract: The low-lying eigenvalues of a (sparse) hermitian matrix can be computed with controlled numerical errors by a conjugate gradient (CG) method. This CG algorithm is accelerated by alternating it with exact diagonalisations in the subspace spanned by the numerically computed eigenvectors. We study this combined algorithm in case of the Dirac operator with (dynamical) Wilson fermions in four-dimensional $SU(2)$ gauge fields. The algorithm is numerically very stable and can be parallelized in an efficient way. On lattices of sizes $4^4-16^4$ an acceleration of the pure CG method by a factor of $4-8$ is found.

Keyword(s): gauge field theory: SU(2) ; fermion: lattice field theory ; operator: Dirac ; numerical methods ; numerical calculations: Monte Carlo

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF4-899) (POF4-899)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report Kalkreuter, T. ; Simma, H.
An Accelerated conjugate gradient algorithm to compute low lying eigenvalues: A Study for the Dirac operator in $SU(2)$ lattice QCD
25 pp. (1995) [10.3204/PUBDB-2023-05897]1995     Files  Fulltext by arXiv.org Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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