The solution of linear systems is still one of the basic building blocks in scientific computing. Therefore, it needs to be adapted to each new hardware platform in order to exploit the new features of the platform in an optimal way. During the last decade many of these building blocks were accelerated by the usage of GPUs and similar accelerator devices. In our contribution we will focus on the solution of linear systems with many right hand sides, where a fast solution not only requires an optimized LU decomposition, but also needs an efficient forward and backward substitution phase. Since the triangular shape of the factors leads to a rather sequential resolution step, this is a difficult task for parallelization and optimization. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
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