Chronological Inversion Method for the Dirac Matrix in Hybrid Monte Carlo

A.R.Levi(Boston Un.); K.N.Orginos(Brown Un.); R.C.Brower (Boston Un.); T.Ivanenko(MIT)

Chronological Inversion Method for the Dirac Matrix in Hybrid Monte Carlo

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arxiv hep-lat/9509012 v2 pith:QW3OUVA5 submitted 1995-09-08 hep-lat

R.C.Brower (Boston Un.) , T.Ivanenko(MIT) , A.R.Levi(Boston Un.) , K.N.Orginos(Brown Un.) This is my paper · ORCID

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keywords solutionscarlochronologicalconjugatediracgradienthybridinversion

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In Hybrid Monte Carlo simulations for full QCD, the gauge fields evolve smoothly as a function of Molecular Dynamics time. Here we investigate improved methods of estimating the trial or starting solutions for the Dirac matrix inversion as superpositions of a chronological sequence of solutions in the recent past. By taking as the trial solution the vector which minimizes the residual in the linear space spanned by the past solutions, the number of conjugate gradient iterations per unit MD time is decreased by at least a factor of 2. Extensions of this basic approach to precondition the conjugate gradient iterations are also discussed.

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