Comparing iterative methods to compute the overlap Dirac operator at nonzero chemical potential
High Energy Physics - Lattice
2009-01-14 v1
Abstract
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.
Cite
@article{arxiv.0810.4228,
title = {Comparing iterative methods to compute the overlap Dirac operator at nonzero chemical potential},
author = {Jacques Bloch and Tobias Breu and Tilo Wettig},
journal= {arXiv preprint arXiv:0810.4228},
year = {2009}
}
Comments
7 pages, talk presented at the XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virginia, USA