Minimizing storage in implementations of the overlap lattice-Dirac operator

Abstract

The overlap lattice-Dirac operator contains the sign function $\epsilon (H)$. Recent practical implementations replace $\epsilon (H)$ 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.

7 pages, plain TeX; minor errors corrected

References in corpus (3)

• Vector like gauge theories with almost massless fermions on the lattice
• A practical implementation of the Overlap-Dirac operator
• Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice

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