Linear equationsparse symmetric systemCholesky factorizationparallel algorithmbidirectional schememultiprocessorIn this paper, we propose a new parallel bidirectional algorithm, based on Cholesky factorization, for the solution of sparse symmetric system of linear equations. Unlike the existing algorithms, the ...
HYPRE is a library of high performance preconditioners and solvers featuring multigrid methods for the solution of large, sparse linear systems of equations on massively parallel computers.For documentation, see our readthedocs page.For information on code development, build requirements, publications, and...
Despite this long tradition, parallel numerical algorithms did not lose any- thing of their relevance. The efficient implementation of existing schemes on state-of-the-art parallel systems (such as clusters or hybrid systems), the scala- bility challenges resulting from massively parallel systems, ...
2nd International Symposium on Computer, Communication, Control and Automation (3CA 2013) Parallel Algorithms for Solving Large Sparse Linear Equations Jingzhu Li1,2 1.School of Computer Science, National University of Defense Technology Changsha, China 2. Fok Ying Tung Graduate School Hong Kong ...
A. Scott. New parallel sparse direct solvers for multicore architectures. Algorithms, 6:702-725, 2013. Special issue: Algorithms for Multi Core Parallel Computation.J. D. Hogg and J. A. Scott. 2013. New parallel sparse direct solvers for multicore architectures. Algorithms 6, 702-725. ...
[Studies in Computational Mathematics] Inherently Parallel Algorithms in Feasibility and Optimization and their Applications Volume 8 || Parallel Iterative Methods for Sparse Linear Systemsdoi:10.1016/s1570-579x(01)80025-2SaadY.
VII.C. Parallel Algorithms: Basic Approach The references provide details and illustrations of the use of such serial multiplex algorithms, for linear, nonlinear, and integer goal programming problems. However, with the advent of hybrid multiplex algorithms, the use of parallel algorithms is both pos...
resulting in a hybrid direct-iterative method for large linear systems. The solution of the linear system at the last level is performed with the parallel explicit preconditioned BiCGSTAB method in conjunction with the PMGenFAspI matrix. The parallelization of the proposed methods uses the vector un...
Many applications in science and engineering give rise to large sparse linear systems of equations that need to be solved as efficiently as possible. As the size of the problems of interest increases, it can become necessary to consider exploiting multiprocessors to solve these systems. We report ...
Distributed-memory parallel algorithms for sparse times tall-skinny-dense matrix multiplication 2021, Proceedings of the International Conference on Supercomputing ExTensor: An accelerator for sparse tensor algebra 2019, Proceedings of the Annual International Symposium on Microarchitecture, MICRO An efficient ...