Accelerating the Hybrid Monte Carlo algorithm with ILU preconditioning

Details Accelerating the Hybrid Monte Carlo algorithm with ILU preconditioning Accelerating the Hybrid Monte Carlo algorithm with ILU preconditioning

2000-11-24

arxiv.org/abs/hep-lat/0011080v2

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages with 5 figures (in 9 eps files). Uses epsf.sty. Added a reference

Scientific paper

The pseudofermion action of the Hybrid Monte Carlo (HMC) algorithm for dynamical fermions is modified to directly incorporate Incomplete LU (ILU) factorisation. This reduces the stochastic noise and allows a larger molecular dynamics step-size to be taken, cutting the computational cost. Numerical tests using the two-flavour Schwinger model are presented, where a two-step ILU preconditioning of the even-odd fermion matrix allows the step-size to be increased by a factor of two over the standard even-odd formulation.

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