Contribution to a conference proceedings/Contribution to a book

FZJ-2025-05676

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Deflation and polynomial preconditioning in the application of the overlap operator at nonzero chemical potential

Ramirez Hidalgo, G. (Corresponding author)FZJ* ; Finkenrath, J.

2025
Sissa Medialab Trieste, Italy

This record in other databases:  

Please use a persistent id in citations: doi:10.22323/1.466.0284

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.

---

Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. EoCoE-III - Energy oriented Center of Excellence (101143931_16HPC102K) (101143931_16HPC102K)
3. DFG project G:(GEPRIS)451886959 - FOR 5269: Zukünftige Methoden für Studien von eingeschlossenen Gluonen in QCD (451886959) (451886959)
4. Inno4Scale - Innovative Algorithms for Applications on European Exascale Supercomputers (101118139) (101118139)

---