A comparison of a variety of matrix inversion algorithms for Wilson fermions on the lattice |
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| Institution: | 1. Graduate School of Engineering and Science, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama-shi, Saitama 337-8570, Japan;2. College of Systems Engineering and Science, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama-shi, Saitama 337-8570, Japan;3. Division of Mathematical Sciences, Tokyo Woman’s Christian University, 2-6-1 Zempukuji, Suginami-ku, Tokyo 167-8585, Japan |
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| Abstract: | We compare a number of numerical algorithms for inverting the lattice Dirac operator in the Wilson formulation. Among the algorithms that we have studied, the Fourier preconditioned conjugate gradient is the most robust and efficient algorithm near κ c, even taking into account the overhead due to gauge fixing. |
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