High-performance generation of the Hamiltonian and Overlap matrices in FLAPW methods

E Di Napoli, E Peise, M Hrywniak… - Computer physics …, 2017 - Elsevier
Computer physics communications, 2017Elsevier
One of the greatest efforts of computational scientists is to translate the mathematical model
describing a class of physical phenomena into large and complex codes. Many of these
codes face the difficulty of implementing the mathematical operations in the model in terms
of low level optimized kernels offering both performance and portability. Legacy codes suffer
from the additional curse of rigid design choices based on outdated performance metrics (eg
minimization of memory footprint). Using a representative code from the Materials Science …
Abstract
One of the greatest efforts of computational scientists is to translate the mathematical model describing a class of physical phenomena into large and complex codes. Many of these codes face the difficulty of implementing the mathematical operations in the model in terms of low level optimized kernels offering both performance and portability. Legacy codes suffer from the additional curse of rigid design choices based on outdated performance metrics (e.g. minimization of memory footprint). Using a representative code from the Materials Science community, we propose a methodology to restructure the most expensive operations in terms of an optimized combination of dense linear algebra (BLAS3) kernels. The resulting algorithm guarantees an increased performance and an extended life span of this code, enabling larger scale simulations.
Elsevier
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