Usability of Markov Chain Monte Carlo preconditioners in practical problems

Workshop:12th Workshop on Latest Advances in Scalable Algorithms for Large Scale Systems

Authors: Anton Lebedev, Vassil Alexandrov, and Emre Sahin (Hartree Centre, Science and Technology Facilities Council (STFC), UK)

Abstract: In this paper we present the results of our ex- ploration of applicability of preconditioners computed using the Markov Chain Monte Carlo Matrix Inversion ((MC) 2 MI) method to a variety of linear systems from the domain of quan- tum chromodynamics, plasma physics and engineering. The latter two are represented by matrices extracted from BOUT++ and Nektar++ codes with specific problem statements. Additionally we present the scaling behaviour of our implementation for GPUs and CPUs.

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