Multi-Grid Lanczos

Abstract

We present a Lanczos algorithm utilizing multiple grids that reduces the memory requirements both on disk and in working memory by one order of magnitude for RBC/UKQCD's 48I and 64I ensembles at the physical pion mass. The precision of the resulting eigenvectors is on par with exact deflation.

6 pages, 7 figures; Talk given at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

References in corpus (4)

• $K_L-K_S$ mass difference from lattice QCD
• Local coherence and deflation of the low quark modes in lattice QCD
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment

Cited by in corpus (11)

• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Consistency of hadronic vacuum polarization between lattice QCD and the R-ratio
• Status and Future Perspectives for Lattice Gauge Theory Calculations to the Exascale and Beyond
• Long-distance Contributions to Neutrinoless Double Beta Decay ${\pi }^{-}\to {\pi }^{+}ee$
• Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
• Lattice QCD Calculation of the Pion Mass Splitting
• Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD
• $\Delta I=3/2$ and $\Delta I=1/2$ channels of $K\to \pi \pi$ decay at the physical point with periodic boundary conditions
• Deflated GMRES with Multigrid for Lattice QCD
• Chiral symmetry and taste symmetry from the eigenvalue spectrum of staggered Dirac operators