Lattice Quantum Chromodynamics by Francesco Knechtli Michael Günther & Michael Peardon

Author:Francesco Knechtli, Michael Günther & Michael Peardon
Language: eng
Format: epub
Publisher: Springer Netherlands, Dordrecht

(3.46)

the ensemble variance of is expected to have a milder dependence on the volume. This hierarchy of modes may induce also a hierarchy of costs since it is the low modes that cause the most cost in lattice QCD. A hierarchy based on recursive domain decomposition has been studied in [26].

The factorisation introduced in [27, 28] is based on the identity

(3.47)

which holds for any non-singular matrix . We note that when even-odd preconditioning is used, the factorization Eq. (3.47) can be applied to the Schur complement instead of D.

A special case of the factorisation Eq. (3.47) is obtained by setting . Equation (3.47) then becomes

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.