The principle of indirect elimination

Details The principle of indirect elimination The principle of indirect elimination

1995-08-14

arxiv.org/abs/hep-lat/9508016v1

Int.J.Mod.Phys. C7 (1996) 503-520

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, LaTeX-style espart (elsevier preprint style). Three .eps-figures are now added with the figure command.

Scientific paper

The principle of indirect elimination states that an algorithm for solving discretized differential equations can be used to identify its own bad-converging modes. When the number of bad-converging modes of the algorithm is not too large, the modes thus identified can be used to strongly improve the convergence. The method presented here is applicable to any standard algorithm like Conjugate Gradient, relaxation or multigrid. An example from theoretical physics, the Dirac equation in the presence of almost-zero modes arising from instantons, is studied. Using the principle, bad-converging modes are removed efficiently. Applied locally, the principle is one of the main ingredients of the Iteratively Smooting Unigrid algorithm.

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