000848080 001__ 848080
000848080 005__ 20221109161715.0
000848080 0247_ $$2arXiv$$aarXiv:1805.10121
000848080 0247_ $$2doi$$a10.1145/3313828
000848080 0247_ $$2Handle$$a2128/22149
000848080 0247_ $$2WOS$$aWOS:000482133700008
000848080 037__ $$aFZJ-2018-03363
000848080 041__ $$aEnglish
000848080 082__ $$a620
000848080 1001_ $$0P:(DE-Juel1)167415$$aWinkelmann, Jan$$b0$$ufzj
000848080 245__ $$aChASE: Chebyshev Accelerated Subspace iteration Eigensolver for sequences of Hermitian eigenvalue problems
000848080 260__ $$aNew York, NY$$bACM$$c2019
000848080 3367_ $$2DRIVER$$aarticle
000848080 3367_ $$2DataCite$$aOutput Types/Journal article
000848080 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1579529264_30845
000848080 3367_ $$2BibTeX$$aARTICLE
000848080 3367_ $$2ORCID$$aJOURNAL_ARTICLE
000848080 3367_ $$00$$2EndNote$$aJournal Article
000848080 520__ $$aSolving dense Hermitian eigenproblems arranged in a sequence with direct solvers fails to take advantage of those spectral properties that are pertinent to the entire sequence and not just to the single problem. When such features take the form of correlations between the eigenvectors of consecutive problems, as is the case in many real-world applications, the potential benefit of exploiting them can be substantial. We present the Chebyshev Accelerated Subspace iteration Eigensolver (ChASE), a modern algorithm and library based on subspace iteration with polynomial acceleration. Novel to ChASE is the computation of the spectral estimates that enter in the filter and an optimization of the polynomial degree that further reduces the necessary floating-point operations. ChASE is written in C++ using the modern software engineering concepts that favor a simple integration in application codes and a straightforward portability over heterogeneous platforms. When solving sequences of Hermitian eigenproblems for a portion of their extremal spectrum, ChASE greatly benefits from the sequence’s spectral properties and outperforms direct solvers in many scenarios. The library ships with two distinct parallelization schemes, supports execution over distributed GPUs, and is easily extensible to other parallel computing architectures.
000848080 536__ $$0G:(DE-HGF)POF3-511$$a511 - Computational Science and Mathematical Methods (POF3-511)$$cPOF3-511$$fPOF III$$x0
000848080 536__ $$0G:(DE-Juel1)PHD-NO-GRANT-20170405$$aPhD no Grant - Doktorand ohne besondere Förderung (PHD-NO-GRANT-20170405)$$cPHD-NO-GRANT-20170405$$x1
000848080 536__ $$0G:(DE-Juel1)SDLQM$$aSimulation and Data Laboratory Quantum Materials (SDLQM) (SDLQM)$$cSDLQM$$fSimulation and Data Laboratory Quantum Materials (SDLQM)$$x2
000848080 588__ $$aDataset connected to arXivarXiv
000848080 7001_ $$0P:(DE-HGF)0$$aSpringer, Paul$$b1
000848080 7001_ $$0P:(DE-Juel1)144723$$aDi Napoli, Edoardo$$b2$$eCorresponding author$$ufzj
000848080 773__ $$0PERI:(DE-600)2006421-4$$a10.1145/3313828$$gVol. 45, no. 2, p. 1 - 34$$n2$$p21$$tACM transactions on mathematical software$$v45$$x0098-3500$$y2019
000848080 8564_ $$uhttps://juser.fz-juelich.de/record/848080/files/1805.10121.pdf$$yOpenAccess
000848080 8564_ $$uhttps://juser.fz-juelich.de/record/848080/files/1805.10121.pdf?subformat=pdfa$$xpdfa$$yOpenAccess
000848080 909CO $$ooai:juser.fz-juelich.de:848080$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire
000848080 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)167415$$aForschungszentrum Jülich$$b0$$kFZJ
000848080 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)144723$$aForschungszentrum Jülich$$b2$$kFZJ
000848080 9131_ $$0G:(DE-HGF)POF3-511$$1G:(DE-HGF)POF3-510$$2G:(DE-HGF)POF3-500$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$aDE-HGF$$bKey Technologies$$lSupercomputing & Big Data$$vComputational Science and Mathematical Methods$$x0
000848080 9141_ $$y2019
000848080 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS
000848080 915__ $$0StatID:(DE-HGF)1160$$2StatID$$aDBCoverage$$bCurrent Contents - Engineering, Computing and Technology
000848080 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search
000848080 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bACM T MATH SOFTWARE : 2015
000848080 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection
000848080 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index
000848080 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded
000848080 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5
000848080 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess
000848080 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bASC
000848080 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline
000848080 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bThomson Reuters Master Journal List
000848080 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x0
000848080 980__ $$ajournal
000848080 980__ $$aVDB
000848080 980__ $$aI:(DE-Juel1)JSC-20090406
000848080 980__ $$aUNRESTRICTED
000848080 9801_ $$aFullTexts