High temperature superconductor accelerator magnets

J Van Nugteren - 2016 - cds.cern.ch
For future particle accelerators bending dipoles are considered with magnetic fields
exceeding $20 T $. This can only be achieved using high temperature superconductors …

Parallel sparse approximate inverse preconditioning on graphic processing units

MM Dehnavi, DM Fernandez, JL Gaudiot… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Accelerating numerical algorithms for solving sparse linear systems on parallel architectures
has attracted the attention of many researchers due to their applicability to many …

Preconditioning parametrized linear systems

A Carr, E de Sturler, S Gugercin - SIAM Journal on Scientific Computing, 2021 - SIAM
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 for preconditioning, smoothing, and regularization

M Sedlacek - 2012 - mediatum.ub.tum.de
Sparse approximate inverses (SPAI) are suitable parallel preconditioners for the iterative
solution of large-scale ill-conditioned linear systems of equations on supercomputers …

A Monte Carlo approach to sparse approximate inverse matrix computations

J Straßburg, VN Alexandrov - Procedia Computer Science, 2013 - Elsevier
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 …

[PDF][PDF] Asynchronous parallel solvers for linear systems arising in computational engineering

PK Jimack, MA Walkley - Computational technology reviews, 2011 - academia.edu
Abstract Modern trends in Computational Science and Engineering are moving towards the
use of computer systems with ever increasing numbers of computational cores. A …

[HTML][HTML] Towards Monte Carlo preconditioning approach and hybrid Monte Carlo algorithms for matrix computations

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 …

On the preconditioned quasi-Monte Carlo algorithm for matrix computations

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 …

Enhancing monte carlo preconditioning methods for matrix computations

J Straßburg, V Alexandrov - Procedia Computer Science, 2014 - Elsevier
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 …

A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems

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 …