Linear systems solvers - recent developments and implications for lattice computations

Preprint

14 August 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9608074

Abstract

We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix. Our thesis is that mature methods like QMR, BiCGStab or restarted GMRES are close to optimal for the Wilson fermion matrix. Consequently, preconditioning appears to be the crucial issue for further improvements.

Keywords

IMPLICATIONS FOR LATTICE
WILSON FERMION MATRIX
LATTICE COMPUTATIONS
NUMERICAL ANALYSIS
PRECONDITIONING
SYSTEMS SOLVERS
LINEAR SYSTEMS
BICGSTAB

All Related Versions

Version 1, 1996-08-14, ArXiv
Published version: Nuclear Physics B - Proceedings Supplements, 53 (1-3), 120.

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