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@ARTICLE{Whyte:1049632,
      author       = {Whyte, Travis and Stathopolous, Andreas and Romero, Eloy},
      title        = {{A}ccelerating multigrid with streaming chiral {SVD} for
                      {W}ilsonfermions in lattice {QCD}},
      publisher    = {arXiv},
      reportid     = {FZJ-2025-05420},
      year         = {2025},
      abstract     = {A modification to the setup algorithm for the multigrid
                      preconditioner of Wilson fermions in lattice QCD is
                      presented. A larger basis of test vectors than that used in
                      conventional multigrid is calculated by the smoother and
                      truncated by singular value decomposition on the chiral
                      components of the test vectors. The truncated basis is used
                      to form the prolongation and restriction matrices of the
                      multigrid hierarchy. This modification of the setup method
                      is demonstrated to increase the convergence of linear
                      solvers on an anisotropic lattice with $m_π \approx 239$
                      MeV from the Hadron Spectrum Collaboration and an isotropic
                      lattice with $m_π \approx 220$ MeV from the MILC
                      Collaboration. The lattice volume dependence of the method
                      is also examined. Increasing the number of test vectors
                      improves speedup up to a point, but storing these vectors
                      becomes impossible in limited memory resources such as GPUs.
                      To address storage cost, we implement a \emph{streaming}
                      singular value decomposition of the basis of test vectors on
                      the chiral components and demonstrate a decrease in the
                      number of fine level iterations by a factor of 1.7 for $m_q
                      \approx m_{crit}$.},
      keywords     = {High Energy Physics - Lattice (hep-lat) (Other) / Numerical
                      Analysis (math.NA) (Other) / FOS: Physical sciences (Other)
                      / FOS: Mathematics (Other)},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / SFB 1639 B02 -
                      Gitterfeldtheorien an der Schwelle zur Exascale-Ära (B02)
                      (537420013)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)537420013},
      typ          = {PUB:(DE-HGF)25},
      doi          = {10.48550/ARXIV.2505.14399},
      url          = {https://juser.fz-juelich.de/record/1049632},
}