Solving Dense Linear Systems on Graphics Processors

Sergio Barrachina, Maribel Castillo, Francisco D. Igual, Rafael Mayo, Enrique S. Quintana Ort’?
Departamento de Ingenieria y Ciencia de Computadores, Universidad Jaime I, Campus de Riu Sec, s/n 12.071 – Castellon, Espana
In Euro-Par ’08: Proceedings of the 14th international Euro-Par conference on Parallel Processing (2008), pp. 739-748.


   title={Solving dense linear systems on graphics processors},

   author={Barrachina, S. and Castillo, M. and Igual, F. and Mayo, R. and Quintana-Ort{‘i}, E.},

   journal={Euro-Par 2008–Parallel Processing},





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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.
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