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@INPROCEEDINGS{RamirezHidalgo:1049922,
      author       = {Ramirez Hidalgo, Gustavo and Finkenrath, Jacob},
      title        = {{D}eflation and polynomial preconditioning in the
                      application of the overlap operator at nonzero chemical
                      potential},
      publisher    = {Sissa Medialab Trieste, Italy},
      reportid     = {FZJ-2025-05676},
      pages        = {284},
      year         = {2025},
      comment      = {Proceedings of The 41st International Symposium on Lattice
                      Field Theory — PoS(LATTICE2024)},
      booktitle     = {Proceedings of The 41st International
                       Symposium on Lattice Field Theory —
                       PoS(LATTICE2024)},
      abstract     = {When solving linear systems with the overlap operator at
                      nonzero chemical potential $μ$ in lattice QCD one needs, at
                      every iteration of the iterative solver, to apply the sign
                      function evaluated on a non-Hermitian operator $Q_μ$ times
                      a vector, i.e., $sign(Q_μ)v$. In this work we describe how
                      deflation and (the more recently proposed) polynomial
                      preconditioning can be applied to this problem, in
                      particular in the context of lattice QCD. Furthermore, we
                      describe how both methods can be combined, we compare them
                      in numerical experiments and explore whether there might be
                      any synergy between both that can be exploited.},
      month         = {Jul},
      date          = {2024-07-28},
      organization  = {The 41st International Symposium on
                       Lattice Field Theory, Liverpool (UK),
                       28 Jul 2024 - 3 Aug 2024},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / EoCoE-III - Energy
                      oriented Center of Excellence $(101143931_16HPC102K)$ / DFG
                      project G:(GEPRIS)451886959 - FOR 5269: Zukünftige Methoden
                      für Studien von eingeschlossenen Gluonen in QCD (451886959)
                      / Inno4Scale - Innovative Algorithms for Applications on
                      European Exascale Supercomputers (101118139)},
      pid          = {G:(DE-HGF)POF4-5111 / $G:(EU-Grant)101143931_16HPC102K$ /
                      G:(GEPRIS)451886959 / G:(EU-Grant)101118139},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      doi          = {10.22323/1.466.0284},
      url          = {https://juser.fz-juelich.de/record/1049922},
}