Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory

Abstract

We analyze the performance-power-energy balance of a conventional Intel Xeon mul- ticore processor and two low-power architectures –an Intel Atom processor and a sys- tem with a quad-core ARM Cortex A9+NVIDIA Quadro 1000M– using a high perfor- mance implementation of Gauss-Jordan elimination (GJE) for matrix inversion. The blocked version of this algorithm employed in the experimental evaluation mostly com- prises matrix-matrix products, so that the results from the evaluation carry beyond the simple matrix inversion and are representative for a wide variety of dense linear algebra operations/codes.