Summary
We use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space method and nested conjugate gradient procedures are avoided. We point out that the five dimensional linear system can be made well conditioned using equivalence transformations on the continued fractions.
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Wenger, U. (2005). The Overlap Dirac Operator as a Continued Fraction. In: Bori~i, A., Frommer, A., Joó, B., Kennedy, A., Pendleton, B. (eds) QCD and Numerical Analysis III. Lecture Notes in Computational Science and Engineering, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28504-0_17
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DOI: https://doi.org/10.1007/3-540-28504-0_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21257-7
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