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An overview of dense eigenvalue solvers for distributed memory systems

Davidović, Davor (2021) An overview of dense eigenvalue solvers for distributed memory systems. In: Skala, Karolj, (ed.) MIPRO Proceedings 2021. Rijeka, Croatian Society for Information, Communication and Electronic Technology – MIPRO, pp. 291-297 .

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Solving large-scale eigenvalue problems is a central problem in many research areas, such as electronic structure calculations, macromolecular simulations, solid states, theoretical physics, and combinatorial optimization. The computation of the required eigenvalues and the corresponding eigenvectors of the large matrices is a challenging task that requires considerable computational time. Therefore, the computation of such problems is usually performed on large computational resources consisting of a large number of computational nodes interconnected by fast network and often equipped with accelerators, such as graphic processing units. Nowadays, when the whole world is vying for the first exascale supercomputer and the computational appetite of researchers is greater than ever, the need for scalable and powerful eigenvalue solvers capable of utilising such large machines with distributed memory is crucial for further breakthroughs in research. This paper reviews existing numerical linear algebra packages and libraries that implement solvers for dense eigenvalue problems and are tailored to distributed-memory systems. The survey analysis has shown that there are numerous eigenvalue solvers for distributed memory systems. However, not many of them are able to exploit the full potential of modern, heterogeneous, GPU- based machines with complex memory hierarchies.

Item Type: Conference or workshop item published in conference proceedings (UNSPECIFIED)
Uncontrolled Keywords: eigenvalue solvers ; high-performance computing ; distributed-memory ; large-scale systems
Subjects: NATURAL SCIENCES > Mathematics
NATURAL SCIENCES > Mathematics > Algebra
TECHNICAL SCIENCES > Computing > Process Computing
Divisions: Center for Informatics and Computing
Project titleProject leaderProject codeProject type
Skalabilni algoritmi visokih performansi za buduće heterogene distribuirane računalne sustaveDavidović, DavorUIP-2020-02-4559HRZZ
Napredne metode i tehnologije u znanosti o podatcima i kooperativnim sustavima - IJ za napredne kooperativne sustave-DATACROSSIvan Petrović; Tomislav ŠmucKK.
Depositing User: Davor Davidović
Date Deposited: 10 Nov 2021 15:30

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