Linear systems solvers - recent developments and implications for lattice computations

Details Linear systems solvers - recent developments and implications for lattice computations Linear systems solvers - recent developments and implications for lattice computations

1996-08-14

arxiv.org/abs/hep-lat/9608074v1

Nucl.Phys.Proc.Suppl. 53 (1997) 120-126

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, LaTeX using espcrc2.sty, 2 figures, 9 eps-files, Talk presented at LATTICE96(algorithms), submitted to Nucl. Phys. B,

Scientific paper

10.1016/S0920-5632(96)00605-6

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.

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