Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects
Andreas Alvermann
Achim Basermann
Hans-Joachim Bungartz
Christian Carbogno
Dominik Ernst
Holger Fehske
Yasunori Futamura
Martin Galgon
Georg Hager
Sarah Huber
Thomas Huckle
Akihiro Ida
Akira Imakura
Masatoshi Kawai
Simone Koecher
Moritz Kreutzer
Pavel Kus
Bruno Lang
Hermann Lederer
Valeriy Manin
Andreas Marek
Kengo Nakajima
Lydia Nemec
Karsten Reuter
Michael Rippl
Melven Roehrig-Zoellner
Tetsuya Sakurai
Matthias Scheffler
Christoph Scheurer
Faisal Shahzad
Danilo Simoes Brambila
Jonas Thies (Deutsches Zentrum für Luft- und Raumfahrt (DLR))
Gerhard Wellein
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Abstract
We first briefly report on the status and recent achievements of the ELPA-AEO (Eigen value 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.
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