Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

15 pages, 14 figures corrected sign error in the definition of the overlap operator, accordingly corrected Lemma 2,3 and 4, nu

Scientific paper

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-191262

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.