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Journal Article

Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects

MPS-Authors
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Carbogno,  Christian
Theory, Fritz Haber Institute, Max Planck Society;

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Scheffler,  Matthias
Theory, Fritz Haber Institute, Max Planck Society;

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Simoes Brambila,  Danilo
Theory, Fritz Haber Institute, Max Planck Society;

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Citation

Alvermann, A., Basermann, A., Bungartz, H.-J., Carbogno, C., Ernst, D., Fehske, H., et al. (2019). Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects. Japan Journal of Industrial and Applied Mathematics, 36(2), 699-717. doi:10.1007/s13160-019-00360-8.


Cite as: https://hdl.handle.net/21.11116/0000-0001-74FC-1
Abstract
We first briefly report on the status and recent achievements of the ELPA-AEO (Eigenvalue Solvers for Petaflop Applications - Algorithmic Extensions and Optimizations) and ESSEX II (Equipping Sparse Solvers for Exascale) projects. In both collaboratory efforts, scientists from the application areas,
mathematicians, and computer scientists work together to develop and make available efficient highly parallel methods for the solution of eigenvalue problems. Then we focus on a topic addressed in both projects, the use of mixed precision computations to enhance efficiency. We give a more detailed
description of our approaches for benefiting from either lower or higher precision in three selected contexts and of the results thus obtained.