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» Improving the Performance of a Verified Linear System Solver...
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EUROPAR
2001
Springer
14 years 5 days ago
Performance of High-Accuracy PDE Solvers on a Self-Optimizing NUMA Architecture
High-accuracy PDE solvers use multi-dimensional fast Fourier transforms. The FFTs exhibits a static and structured memory access pattern which results in a large amount of communic...
Sverker Holmgren, Dan Wallin
PARA
2004
Springer
14 years 1 months ago
Extending PSBLAS to Build Parallel Schwarz Preconditioners
We describe some extensions to Parallel Sparse BLAS (PSBLAS), a library of routines providing basic Linear Algebra operations needed to build iterative sparse linear system solvers...
Alfredo Buttari, Pasqua D'Ambra, Daniela di Serafi...
EUROPAR
2001
Springer
14 years 5 days ago
Polynomial Preconditioning for Specially Structured Linear Systems of Equations
For the solution of the SID (Symmetric InDefinite) linear systems, the use of the GLS (Generalized Least-Squares) polynomial preconditioner can improve the execution efficiency of...
Y. Liang, Jim Weston, Marek Szularz
ICCSA
2003
Springer
14 years 27 days ago
Coarse-Grained Parallel Matrix-Free Solution of a Three-Dimensional Elliptic Prototype Problem
The finite difference discretization of the Poisson equation in three dimensions results in a large, sparse, and highly structured system of linear equations. This prototype prob...
Kevin P. Allen, Matthias K. Gobbert
PPOPP
2010
ACM
14 years 5 months ago
Fast tridiagonal solvers on the GPU
We study the performance of three parallel algorithms and their hybrid variants for solving tridiagonal linear systems on a GPU: cyclic reduction (CR), parallel cyclic reduction (...
Yao Zhang, Jonathan Cohen, John D. Owens