Improved coefficients for polynomial filtering in ESSEX

Martin Galgon, Lukas Krämer, Bruno Lang, Andreas Alvermann, Holger Fehske, Andreas Pieper, Georg Hager, Moritz Kreutzer, Faisal Shahzad, Gerhard Wellein, Achim Basermann, Melven Röhrig-Zöllner, Jonas Thies

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)

Abstract

The ESSEX project is an ongoing effort to provide exascale-enabled sparse eigensolvers, especially for quantum physics and related application areas. In this paper we first briefly summarize some key achievements that have been made within this project. Then we focus on a projection-based eigensolver with polynomial approximation of the projector. This eigensolver can be used for computing hundreds of interior eigenvalues of large sparse matrices. We describe techniques that allow using lower-degree polynomials than possible with standard Chebyshev expansion of the window function and kernel smoothing. With these polynomials, the degree, and thus the number of matrix–vector multiplications, typically can be reduced by roughly one half, resulting in comparable savings in runtime.

Original languageEnglish
Title of host publicationEigenvalue Problems
Subtitle of host publicationAlgorithms, Software and Applications in Petascale Computing - EPASA 2015
EditorsYoshinobu Kuramashi, Takeo Hoshi, Tetsuya Sakurai, Toshiyuki Imamura, Shao-Liang Zhang, Yusaku Yamamoto
PublisherSpringer Verlag
Pages63-79
Number of pages17
ISBN (Print)9783319624242
DOIs
Publication statusPublished - 2017
Externally publishedYes
Event1st InternationalWorkshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, EPASA 2015 - Tsukuba, Japan
Duration: 14 Sep 201516 Sep 2015

Publication series

NameLecture Notes in Computational Science and Engineering
Volume117
ISSN (Print)1439-7358

Conference

Conference1st InternationalWorkshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, EPASA 2015
CountryJapan
CityTsukuba
Period14/09/1516/09/15

Fingerprint Dive into the research topics of 'Improved coefficients for polynomial filtering in ESSEX'. Together they form a unique fingerprint.

Cite this