Comparison of Inversion Algorithms for Wilson Fermions on the CM5

dc.creatorGupta, Rajan
dc.creatorBhattacharya, Tanmoy
dc.creatorKilcup, Gregory
dc.date1996-05-23
dc.date.accessioned2026-07-07T03:39:39Z
dc.date.available2026-07-07T03:39:39Z
dc.descriptionThis talk presents results of a comparitive study of iterative algorithms like minimal residue ($MR$) and conjugate gradient ($CG$, $BiCGγ_5$, and \bicgstab) used for inverting the Dirac matrix $M$. The tests were done on the Connection Machine CM-5 using $32^3 \times 64$ 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 \bicgstab. We find these two algorithms to be equally robust, $i.e.$ insensitive to the starting solution and to round-off errors.
dc.description5 pages. Package submitted in uufiles format: unpack and tex paper.tex. Modified "axis" source for figures also included. Needs macro packages lanlmac and epsf. Uses hyperbasics if available. Talk presented by Rajan Gupta at the workshop ``Accelerating Fermion Algorithms'', Jülich, Feb 1996
dc.identifierhttps://arxiv.org/abs/hep-lat/9605029
dc.identifierhttp://arxiv.org/abs/hep-lat/9605029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39018
dc.subjectHigh Energy Physics - Lattice
dc.titleComparison of Inversion Algorithms for Wilson Fermions on the CM5
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