Comparing iterative methods to compute the overlap Dirac operator at nonzero chemical potential

Details Comparing iterative methods to compute the overlap Dirac operator at nonzero chemical potential Comparing iterative methods to compute the overlap Dirac operator at nonzero chemical potential

2008-10-23

arxiv.org/abs/0810.4228v1

PoS LATTICE2008:027,2008

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, talk presented at the XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virgini

Scientific paper

The overlap Dirac operator at nonzero quark chemical potential involves the computation of the sign function of a non-Hermitian matrix. In this talk we present iterative Krylov subspace approximations, with deflation of critical eigenvalues, which we developed to compute the operator on large lattices. We compare the accuracy and efficiency of two alternative approximations based on the Arnoldi and on the two-sided Lanczos method. The short recurrences used in the latter method make it faster and more effective for realistic lattice simulations.

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