Invited Talk - On Improved Monte Carlo Hybrid Methods for
Preconditioner Computations
Author/Presenters
Event Type
Workshop
Algorithms
Exascale
Resiliency
SIGHPC Workshop
TimeMonday, November 13th5:10pm -
5:30pm
Location607
DescriptionIn this talk, we present certain improvements of the
Markov Chain Monte Carlo Matrix Inversion and show their
impact on performance and scalability of the method. The
method is used for the computation of preconditioners
for iterative methods, such as generalized minimal
residuals (GMRES) or bi-conjugate gradient stabilized
(BICGstab), for the solution of linear systems of
equations. The problem of communication overhead is
addressed via a modification of the method and via
optimizations in the communication patterns of a chosen
implementation of the method. Numerical experiments are
carried out to highlight the benefits and deficiencies
of both approaches and to assess their overall
usefulness in light of scalability of the method.




