Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-10-15
PoS LAT2009:025,2009
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 6 figures, proceedings of the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Bejing, China
Scientific paper
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 methods project the operator on a much smaller Krylov subspace, on which the matrix function is computed exactly. However, for large lattices this subspace can still be too large for an efficient calculation of the sign function. The idea of the new method is to nest Krylov subspace approximations by making a further projection on an even smaller subspace, which is then small enough to compute the sign function efficiently, and this without any noticeable loss of numerical accuracy. We demonstrate the efficiency of the method both on Hermitian and non-Hermitian matrices.
Bloch Jacques C. R.
Heybrock Simon
No associations
LandOfFree
A nested Krylov subspace method for the overlap operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A nested Krylov subspace method for the overlap operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A nested Krylov subspace method for the overlap operator will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-620451