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 .

Preview	PDF - Updated Version - article Available under License Creative Commons Attribution Share Alike. Download (169kB) | Preview
Preview	PDF - Published Version - presentation Available under License Creative Commons Attribution Share Alike. Download (613kB) | Preview

Abstract

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
Projects:	Project title Project leader Project code Project type Skalabilni algoritmi visokih performansi za buduće heterogene distribuirane računalne sustave Davidović, Davor UIP-2020-02-4559 HRZZ Napredne metode i tehnologije u znanosti o podatcima i kooperativnim sustavima - IJ za napredne kooperativne sustave-DATACROSS Ivan Petrović; Tomislav Šmuc KK.01.1.1.01.0009-2 EK
Depositing User:	Davor Davidović
Date Deposited:	10 Nov 2021 15:30
URI:	http://fulir.irb.hr/id/eprint/6585

Actions (login required)

View Item