2003/11/19 by G. Arnold, N. Cundy, Arnold, G. +17
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0311025
15 pages, 14 figures corrected sign error in the definition of the overlap operator, accordingly corrected Lemma 2,3 and 4, numerical experiments were rerun, conclusion remained essentially the same
openalex publication_date 2003/11/19 · arxiv created 2004/02/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate optimal choices for the (outer) iteration method to use when solving linear systems with Neuberger's overlap operator in QCD. Different formulations for this operator give rise to different iterative solvers, which are optimal for the respective formulation. We compare these methods in theory and practice to find the overall optimal one.For the first time, we apply the so-called SUMR method of Jagels and Reichel to the shifted unitary version of Neuberger's operator, and show that this method is in a sense the optimal choice for propagator computations. When solving the ``squared'' equations in a dynamical simulation with two degenerate flavours, it turns out that the CG method should be used.