Block Algorithms for Quark Propagator Calculation

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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3 pages, 1 figure, LaTeX2e, uses espcrc2 and epsf. Poster presented at Lattice '97

Scientific paper

10.1016/S0920-5632(97)00955-9

Computing quark propagators in lattice QCD is equivalent to solving large, sparse linear systems with multiple right-hand sides. Block algorithms attempt to accelerate the convergence of iterative Krylov-subspace methods by solving the multiple systems simultaneously. This paper compares a block generalisation of the quasi-minimal residual method (QMR), Block Conjugate Gradient on the normal equation, Block Lanczos and ($\gamma_5$-symmetric) Block BiConjugate Gradient.

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