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Energy Footprint of Advanced Dense Numerical Linear Algebra Using Tile Algorithms on Multicore Architecture

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Executive Summary

The authors propose to study the impact on the energy footprint of two advanced algorithmic strategies in the context of high performance dense linear algebra libraries: mixed precision algorithms with iterative refinement allow to run at the peak performance of single precision floating-point arithmetic while achieving double precision accuracy and tree reduction technique exposes more parallelism when factorizing tall and skinny matrices for solving over-determined systems of linear equations or calculating the singular value decomposition. Integrated within the PLASMA library using tile algorithms, which will eventually supersede the block algorithms from LAPACK, both strategies further excel in performance in the presence of a dynamic task scheduler while targeting multicore architecture.

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