150 citations · 384 across the 8 of their papers we have counts for
8 papers
Improving Inversions of the Overlap Operator
S. Krieg, N. Cundy, J. van den Eshof +3
We present relaxation and preconditioning techniques which accelerate the inversion of the overlap operator by a factor of four on small lattices, with larger gains as the lattice…
Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods
G. Arnold, N. Cundy, J. van den Eshof +4
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 operato…
Numerical Methods for the QCD Overlap Operator: I. Sign-Function and Error Bounds
J. van den Eshof, A. Frommer, Th. Lippert +2
The numerical and computational aspects of the overlap formalism in lattice quantum chromodynamics are extremely demanding due to a matrix-vector product that involves the sign fun…
Preconditioning of Improved and ``Perfect'' Fermion Actions
W. Bietenholz, N. Eicker, A. Frommer +4
We construct a locally-lexicographic SSOR preconditioner to accelerate the parallel iterative solution of linear systems of equations for two improved discretizations of lattice fe…
A Parallel SSOR Preconditioner for Lattice QCD
S. Fischer, A. Frommer, U. Glaessner +7
A parallelizable SSOR preconditioning scheme for Krylov subspace iterative solvers in lattice QCD applications involving Wilson fermions is presented. In actual Hybrid Monte Carlo…
How to compute Green's Functions for entire Mass Trajectories within Krylov Solvers
U. Glaessner, S. Guesken, Th. Lippert +3
The availability of efficient Krylov subspace solvers play a vital role for the solution of a variety of numerical problems in computational science. Here we consider lattice field…