Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-07-28
Comput.Phys.Commun.93:33-47,1996
Physics
High Energy Physics
High Energy Physics - Lattice
25 pages, uuencoded tar-compressed .ps-file
Scientific paper
10.1016/0010-4655(95)00126-3
The low-lying eigenvalues of a (sparse) hermitian matrix can be computed with controlled numerical errors by a conjugate gradient (CG) method. This CG algorithm is accelerated by alternating it with exact diagonalisations in the subspace spanned by the numerically computed eigenvectors. We study this combined algorithm in case of the Dirac operator with (dynamical) Wilson fermions in four-dimensional $\SUtwo$ gauge fields. The algorithm is numerically very stable and can be parallelized in an efficient way. On lattices of sizes $4^4-16^4$ an acceleration of the pure CG method by a factor of~$4-8$ is found.
Kalkreuter Thomas
Simma Hubert
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