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19952023
most citedMany Masses on One Stroke: Economic Computation of Quark Propagators

123 citations · 451 across the 36 of their papers we have counts for

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26 papers · 1 filter

hep-lat2023

MG-MLMC++ as a Variance Reduction Method for Estimating the Trace of a Matrix Inverse

Andreas Frommer, Mostafa Nasr Khalil

Hutchinson's method estimates the trace of a matrix function stochastically using samples , where the components of the random vectors obey an isotropic probab…

hep-lat2022

Deflated Multigrid Multilevel Monte Carlo

Andreas Frommer, Gustavo Ramirez-Hidalgo

In lattice QCD, the trace of the inverse of the discretized Dirac operator appears in the disconnected fermion loop contribution to an observable. As simulation methods get more an…

hep-lat2020★ 4 cited

A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD

Andreas Frommer, Karsten Kahl, Francesco Knechtli +3

Eigenvalues of the Hermitian Wilson-Dirac operator are of special interest in several lattice QCD simulations, e.g., for noise reduction when evaluating all-to-all propagators. In…

hep-lat2016★ 74 cited

Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions

Constantia Alexandrou, Simone Bacchio, Jacob Finkenrath +3

The Adaptive Aggregation-based Domain Decomposition Multigrid method (arXiv:1303.1377) is extended for two degenerate flavors of twisted mass fermions. By fine-tuning the parameter…

hep-lat2016

DDalphaAMG for Twisted Mass Fermions

Simone Bacchio, Costantia Alexandrou, Jacob Finkenrath +3

We present the Adaptive Aggregation-based Domain Decomposition Multigrid method extended to the twisted mass fermion discretization action. We show comparisons of results as a func…

hep-lat2015★ 2 cited

(Approximate) Low-Mode Averaging with a new Multigrid Eigensolver

Gunnar Bali, Sara Collins, Andreas Frommer +5

We present a multigrid based eigensolver for computing low-modes of the Hermitian Wilson Dirac operator. For the non-Hermitian case multigrid methods have already replaced conventi…