116 citations · 927 across the 41 of their papers we have counts for
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A nested Krylov subspace method to compute the sign function of large complex matrices
Jacques C. R. Bloch, Simon Heybrock
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 ov…
Krylov subspace methods and the sign function: multishifts and deflation in the non-Hermitian case
Jacques C. R. Bloch, Tobias Breu, Andreas Frommer +3
Rational approximations of the matrix sign function lead to multishift methods. For non-Hermitian matrices long recurrences can cause storage problems, which can be circumvented wi…
A nested Krylov subspace method for the overlap operator
Jacques C. R. Bloch, Simon Heybrock
We present a novel method to compute the overlap Dirac operator at zero and nonzero quark chemical potential. To approximate the sign function of large, sparse matrices, standard m…
Random matrix analysis of the QCD sign problem
Jacques Bloch, Tilo Wettig
The severity of the sign problem in lattice QCD at nonzero baryon density is measured by the average phase of the fermion determinant. Motivated by the equivalence of chiral random…
Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential
Jacques C. R. Bloch, Tobias Breu, Andreas Frommer +3
The overlap operator in lattice QCD requires the computation of the sign function of a matrix, which is non-Hermitian in the presence of a quark chemical potential. In previous wor…