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19 April 2024
 
  » arxiv » hep-lat/9605029

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Comparison of Inversion Algorithms for Wilson Fermions on the CM5
Rajan Gupta ; Tanmoy Bhattacharya ; Gregory Kilcup ;
Date 23 May 1996
Subject hep-lat
AbstractThis talk presents results of a comparitive study of iterative algorithms like minimal residue ($MR$) and conjugate gradient ($CG$, $BiCGgamma_5$, and icgstab) used for inverting the Dirac matrix $M$. The tests were done on the Connection Machine CM-5 using $32^3 imes 64$ lattices. The fermion action used is of Wilson type, both with and without the clover term. The overall conclusion is that preconditioned over-relaxed $MR$ is the simplest, uses the least memory, and is comparable in performance to icgstab. We find these two algorithms to be equally robust, $i.e.$ insensitive to the starting solution and to round-off errors.
Source arXiv, hep-lat/9605029
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