A numerical study of the solution of the partial eigenvalue problem

Papadrakakis, M

dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:05:48Z
dc.date.available	2014-03-01T01:05:48Z
dc.date.issued	1980	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9000
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0019319843&partnerID=40&md5=dd2d81cb8c28bff8271b2377147ee197	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	VIBRATIONS	en
dc.title	A numerical study of the solution of the partial eigenvalue problem	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1980	en
heal.abstract	The partial eigenvalue problem that arises from the application of the finite element method is considered. A number of iterative methods are examined which consist in seeking the stationary points of the Rayleigh quotient and thus avoiding the physical assembling of the matrices involved. The computational efficiencies of the steepest descent, the conjugate gradient and the co-ordinate overrelaxation methods are compared. Several other modifications to the original conjugate gradient algorithm as well as an orthogonalization process are studied. The dependence of the convergence of the methods on the initial estimate of the eigenvectors and on different values of the relaxation parameter, in the case of the co-ordinate overrelaxation, are also examined. © 1980.	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.isi	ISI:A1980LA34600004	en
dc.identifier.volume	73	en
dc.identifier.issue	3	en
dc.identifier.spage	353	en
dc.identifier.epage	362	en