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

Alvermann A, Basermann A, Bungartz HJ, Carbogno C, Ernst D, Fehske H, Futamura Y, Galgon M, Hager G, Huber S, Huckle T, Ida A, Imakura A, Kawai M, Köcher S, Kreutzer M, Kus P, Lang B, Lederer H, Manin V, Marek A, Nakajima K, Nemec L, Reuter K, Rippl M, Röhrig-Zöllner M, Sakurai T, Scheffler M, Scheurer C, Shahzad F, Simoes Brambila D, Thies J, Wellein G (2019)

Publication Type: Journal article

Publication year: 2019

Journal

DOI: 10.1007/s13160-019-00360-8

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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Involved external institutions

Fritz-Haber-Institut der Max-Planck-Gesellschaft (FHI) Germany (DE) Technische Universität München (TUM) Germany (DE) Bergische Universität Wuppertal Germany (DE) Rechenzentrum Garching der Max-Planck-Gesellschaft (MPCDF) / Max Planck Computing & Data Facility Germany (DE) Universität Greifswald Germany (DE) University of Tokyo Japan (JP) University of Tsukuba / 筑波大学 Japan (JP) Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR) / German Aerospace Center Germany (DE)

How to cite

APA:

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

MLA:

Alvermann, Andreas, et al. "Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects." Japan Journal of Industrial and Applied Mathematics (2019).

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