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» Improving the Performance of a Verified Linear System Solver...
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EUROPAR
2001
Springer
13 years 10 months 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
13 years 11 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
13 years 10 months 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
13 years 11 months 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 3 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