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dc.contributor.author마상백-
dc.date.accessioned2021-01-26T01:32:49Z-
dc.date.available2021-01-26T01:32:49Z-
dc.date.issued2002-08-
dc.identifier.citationProceedings. International Conference on Parallel Processing Workshop, page. 270-273en_US
dc.identifier.isbn0-7695-1680-7-
dc.identifier.issn1530-2016-
dc.identifier.urihttps://ieeexplore.ieee.org/document/1039740?arnumber=1039740&SID=EBSCO:edseee-
dc.identifier.urihttps://repository.hanyang.ac.kr/handle/20.500.11754/157479-
dc.description.abstractRecently iterative algorithms based on the optimization of the Rayleigh quotient have been developed, and a CG scheme for the optimization of the Rayleigh quotient has been proven to be a very attractive and promising technique for large sparse eigenproblems for interior eigenvalues. Ax = /spl lambda/Bx (1) The given matrices A, and B are assumed to be large and sparse, and symmetric and B is further assumed to be positive definite. Also, the method is very amenable to parallel computations. A proper choice of the preconditioner significantly improves the convergence of the CG scheme. We compare the parallel preconditioners for the computation of the interior eigenvalues of a symmetric matrix by CG-type method. The considered preconditioners are ILU(0) in the natural order, ILU(0) in the multi-coloring order, and multi-color block SSOR (symmetric successive overrelaxation). Our results were implemented on the CRAY-T3E with 128 nodes, assuming B = I. The MPI (Message Passing Interface) library was adopted for the interprocessor communications. The test matrices are up to 512/spl times/512 in dimensions and were created from the discretizations of the elliptic PDE. All things considered the MC-BSSOR seems to be most robust preconditioner.en_US
dc.language.isoen_USen_US
dc.publisherIEEEen_US
dc.subjectEigenvalue Problemen_US
dc.subjectCGen_US
dc.subjectPreconditioningen_US
dc.subjectParallelen_US
dc.subjectMulti-Color Block SSORen_US
dc.titleComparisons of Parallel Preconditioners for the Computation of Interior Eigenvalues by a CG-type Method on a Parallel Computeren_US
dc.typeArticleen_US
dc.identifier.doi10.1109/ICPPW.2002.1039740-
dc.contributor.googleauthorMa, Sangback-
dc.contributor.googleauthorJang, Ho-Jong-
dc.sector.campusE-
dc.sector.daehakCOLLEGE OF COMPUTING[E]-
dc.sector.departmentDIVISION OF COMPUTER SCIENCE-
dc.identifier.pidsangback2001-
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