Accelerating numerical algorithms for solving sparse linear systems on parallel architectures has attracted the attention of many researchers due to their applicability to many …
Preconditioners are generally essential for fast convergence in the iterative solution of linear systems of equations. However, the computation of a good preconditioner can be expensive …
Sparse approximate inverses (SPAI) are suitable parallel preconditioners for the iterative solution of large-scale ill-conditioned linear systems of equations on supercomputers …
In this paper we present a stochastic SPAI pre-conditioner. In contrast to the standard deterministic SPAI pre-conditioners that use the Frobenius norm, we present a Monte Carlo …
Abstract Modern trends in Computational Science and Engineering are moving towards the use of computer systems with ever increasing numbers of computational cores. A …
V Alexandrov, OA Esquivel-Flores - Computers & Mathematics with …, 2015 - Elsevier
An enhanced version of a stochastic SParse Approximate Inverse (SPAI) preconditioner for general matrices is presented in this paper. This method is used in contrast to the standard …
V Alexandrov, O Esquivel-Flores, S Ivanovska… - Large-Scale Scientific …, 2015 - Springer
In this paper we present a quasi-Monte Carlo Sparse Approximate Inverse (SPAI) preconditioner. In contrast to the standard deterministic SPAI preconditioners that use the …
An enhanced version of a stochastic SParse Approximate Inverse (SPAI) preconditioner for general matrices is presented. This method is used in contrast to the standard deterministic …
Y Bu, B Carpentieri, Z Shen, TZ Huang - Applied Numerical Mathematics, 2016 - Elsevier
In this paper we introduce an algebraic recursive multilevel incomplete factorization preconditioner, based on a distributed Schur complement formulation, for solving general …