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Application of multigrid solvers in shifted linear systems is studied.
B. Sheikholeslami and R. Wohlert, Improved Continuum Limit Lattice Action for QCD with Wilson Fermions
1985
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1996
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R. Frezzotti and G. C. Rossi, Twisted mass lattice QCD with mass nondegenerate quarks
2003
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2004
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2004
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M. Lüscher, Solution of the Dirac equation in lattice QCD using a domain decomposition method
2004
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Jörg Liesen and Petr Tichý, Convergence analysis of Krylov subspace methods
2004
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2006
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M. A. Clark and A. D. Kennedy, Accelerating dynamical fermion computations using the rational hybrid Monte Carlo (RHMC) algorithm with multiple pseudofermion fields
2007
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M. Lüscher, Local coherence and deflation of the low quark modes in lattice QCD
2007
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K. Jansen and C. Urbach, tmLQCD: A program suite to simulate Wilson twisted mass lattice QCD
2009
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R. Babich, J. Brannick, R. C. Brower, M. A. Clark, T. A. Manteuffel, S. F. McCormick, J. C. Osborn, and C. Rebbi, Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
A. Frommer, K. Kahl, S. Krieg, B. Leder, and M. Rottmann, Adaptive aggregation based domain decomposition multigrid for the lattice Wilson Dirac operator
2014
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James Brannick, Andreas Frommer, Karsten Kahl, Björn Leder, Matthias Rottmann, and Artur Strebel, Multigrid Preconditioning for the Overlap Operator in Lattice QCD
2016
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Constantia Alexandrou, Simone Bacchio, Jacob Finkenrath, Andreas Frommer, Karsten Kahl, and Matthias Rottmann, Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions
2016
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Simon Heybrock, Matthias Rottmann, Peter Georg, and Tilo Wettig, Adaptive algebraic multigrid on SIMD architectures
2016
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Daniel Richtmann, Simon Heybrock, and Tilo Wettig, Multiple right-hand-side setup for the DD- α \alpha AMG
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2010
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Martin Lüscher, Computational Strategies in Lattice QCD
2010
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S. D. Cohen, R. C. Brower, M. A. Clark, and J. C. Osborn, Multigrid algorithms for Domain-Wall fermions
2011
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Naum I Achieser, Theory of approximation
2013
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Andreas Frommer, Stefan Güttel, and Marcel Schweitzer, Efficient and stable Arnoldi restarts for matrix functions based on quadrature
2014
Cited alongside, same era.
Andreas Frommer, Stefan Güttel, and Marcel Schweitzer, Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices
2014
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EI Zolotarev, Application of elliptic functions to questions of functions deviating least and most from zero
Cited in the paper.
2016
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Simone Bacchio, Costantia Alexandrou, Jacob Finkenrath, Andreas Frommer, Karsten Kahl, and Matthias Rottmann, DDalphaAMG for Twisted Mass Fermions
2016
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Simone Bacchio, Constantia Alexandrou, and Jacob Finkenrath, Multigrid accelerated simulations for Twisted Mass fermions
2017
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Martin Lüscher, Stochastic locality and master-field simulations of very large lattices
2017
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Richard C. Brower, M. A. Clark, Alexei Strelchenko, and Evan Weinberg, Multigrid for Staggered Lattice Fermions
2018
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C. Alexandrou et al., Simulating twisted mass fermions at physical light, stange and charm quark masses
2018
Closest in time.