123 citations · 451 across the 36 of their papers we have counts for
4 papers · 2 filters
A CG Method for Multiple Right Hand Sides and Multiple Shifts in Lattice QCD Calculations
Sebastian Birk, Andreas Frommer
We consider the task of computing solutions of linear systems that only differ by a shift with the identity matrix as well as linear systems with several different right hand sides…
Deflation and Flexible SAP-Preconditioning of GMRES in Lattice QCD Simulation
Andreas Frommer, Andrea Nobile, Paul Zingler
The simulation of lattice QCD on massively parallel computers stimulated the development of scalable algorithms for the solution of sparse linear systems. We tackle the problem of…
2-norm error bounds and estimates for Lanczos approximations to linear systems and rational matrix functions
A. Frommer, K. Kahl, Th. Lippert +1
The Lanczos process constructs a sequence of orthonormal vectors v_m spanning a nested sequence of Krylov subspaces generated by a hermitian matrix A and some starting vector b. In…
Aggregation-based Multilevel Methods for Lattice QCD
Andreas Frommer, Karsten Kahl, Stefan Krieg +2
In Lattice QCD computations a substantial amount of work is spent in solving the Dirac equation. In the recent past it has been observed that conventional Krylov solvers tend to cr…