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dc.contributor.authorFargues, Monique P.
dc.date1990-12
dc.date.accessioned2013-02-27T23:27:40Z
dc.date.available2013-02-27T23:27:40Z
dc.date.issued1990-12
dc.identifier.urihttp://hdl.handle.net/10945/28872
dc.description.abstractWe present easily computable bounds on the extreme generalized eigenvalues of Hermitian pencils (R,B) with finite eigenvalues and positive definite B matrices. The bounds are derived in terms of the generalized eigenvalues of the subpencil of maximum dimension contained in (R,B). Known results based on the generalization of the Gershgorin theorem and norm inequalities are presented and compared to the proposed bounds. It is shown that the new bounds compare favorably with these known results; they are easier to compute, require less restrictions on the properties of the pencils studied, and they are in an average sense tighter than those obtained with the norm inequality boundsen_US
dc.description.sponsorshipNaval Postgraduate School, Monterey, CAen_US
dc.description.urihttp://archive.org/details/boundsonextremeg00farg
dc.format.extent21 p. : ill. ; 28 cm.en_US
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.subject.lcshEIGENVALUESen_US
dc.titleBounds on the extreme generalized eigenvalues of Hermitian pencilsen_US
dc.typeTechnical Reporten_US
dc.contributor.corporateNaval Postgraduate School (U.S.).
dc.contributor.departmentElectrical and Computer Engineering.en_US
dc.subject.authorGeneralized eigenproblemsen_US
dc.subject.authorgeneralized Gershgorin theorem eigenvalue boundsen_US
dc.description.funderO&MN, Direct Fundingen_US
dc.description.recognitionNAen_US
dc.identifier.oclca194624
dc.identifier.npsreportNPS-62-90-016
dc.description.distributionstatementApproved for public release; distribution is unlimited.


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