English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

At physical light quark masses, efficient linear solvers are crucial forcarrying out the millions of inversions of the Dirac matrix required forobtaining high statistics in quark correlation functions. Adaptive algebraicmulti-grid methods have proven to be very efficient in such cases, exhibitingmild critical slowing down towards very light quark masses and outperformingtraditional solver methods, such as the conjugate gradient method, at thephysical point. We will discuss our implementations of simultaneous inversionof a (degenerate) Dirac matrix for twisted-mass fermions for multipleright-hand-sides (rhs) with multi-shifts and block-Krylov solvers. Theimplementation is carried out within the community library DD$\alpha$AMG, whichimplements aggregation-based Domain Decomposition adaptive algebraic multi-gridmethods. The block-Krylov solvers are provided via the Fast Accurate BlockLinear krylOv Solver (Fabulous) library and can be used at coarser levels. Ourcode inverts Dirac matrices with different twisted-mass terms and for multiplerhs simultaneously and is thus also suitable for components within a typicallattice QCD simulation workflow, such as the rational approximation. We showpreliminary results on scalability and compare the performance of ourimplementation when using different Block-Krylov solver techniques.

Implementation of Simultaneous Inversion of a Multi-shifted Dirac Matrix for Twisted-Mass Fermions within DD-{\alpha}AMG