FLAME: Formal Linear Algebra Methods Environment
ACM Transactions on Mathematical Software (TOMS)
The science of deriving dense linear algebra algorithms
ACM Transactions on Mathematical Software (TOMS)
LU-GPU: Efficient Algorithms for Solving Dense Linear Systems on Graphics Hardware
SC '05 Proceedings of the 2005 ACM/IEEE conference on Supercomputing
Mixed Precision Iterative Refinement Techniques for the Solution of Dense Linear Systems
International Journal of High Performance Computing Applications
An Extension of the StarSs Programming Model for Platforms with Multiple GPUs
Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
Reduction to condensed forms for symmetric eigenvalue problems on multi-core architectures
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
An efficient implementation of GPU virtualization in high performance clusters
Euro-Par'09 Proceedings of the 2009 international conference on Parallel processing
Designing and dynamically load balancing hybrid LU for multi/many-core
Computer Science - Research and Development
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We present several algorithms to compute the solution of a linear system of equations on a GPU, as well as general techniques to improve their performance, such as padding and hybrid GPU-CPU computation. We also show how iterative refinement with mixed-precision can be used to regain full accuracy in the solution of linear systems. Experimental results on a G80 using CUBLAS 1.0, the implementation of BLAS for NVIDIA® GPUs with unified architecture, illustrate the performance of the different algorithms and techniques proposed.