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Minimizing storage in implementations of the overlap lattice-Dirac operator

Herbert Neuberger
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Abstract

The overlap lattice-Dirac operator contains the sign function $ε(H)$. Recent practical implementations replace $ε(H)$ by a ratio of polynomials, $H P_n (H^2)/Q_n (H^2)$, and require storage of $2n+2$ large vectors. Here I show that one can use only 4 large vectors at the cost of executing the core conjugate algorithm twice. The slow-down might be less than by a factor of 2, depending on the architecture of the computer one uses.

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Herbert Neuberger. 1998-11-16. Minimizing storage in implementations of the overlap lattice-Dirac operator. https://doi.org/10.1142/s012918319900084x

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