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A nested Krylov subspace method to compute the sign function of large complex matrices

Bloch, Jacques C.R. ; Heybrock, Simon



Zusammenfassung

We present an acceleration of the well-established Krylov-Ritz methods to compute the sign function of large complex matrices, as needed in lattice QCD simulations involving the overlap Dirac operator at both zero and nonzero baryon density. Krylov-Ritz methods approximate the sign function using a projection on a Krylov subspace. To achieve a high accuracy this subspace must be taken quite ...

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