On the estimation of the optimum accelerator of SCOR for the eigenvalue problem

Papadrakakis, M

dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:05:57Z
dc.date.available	2014-03-01T01:05:57Z
dc.date.issued	1981	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9085
dc.subject	Eigenvalue Problem	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.title	On the estimation of the optimum accelerator of SCOR for the eigenvalue problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7949(81)90097-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7949(81)90097-3	en
heal.language	English	en
heal.publicationDate	1981	en
heal.abstract	The successive coordinate overrelaxation (SCOR) is investigated for the partial solution of the general eigenvalue problem Ax = λBx, that arises from the application of the finite element method. The essence of the method consists in obtaining the stationary points of the Rayleigh quotient by linear directional searches so as to obtain the highest rate of convergence. A proper estimate of the optimum relaxation parameter is of paramaunt importance to the efficiency of the method. A simple numerical strategy is described which starts the iterations with the coordinate relaxation method (ω = 1) and as the iteration progresses, updated values for ω are obtained which generally tend toward the asymptotic optimum relaxation parameter ωopt. The procedure has been applied successfully in a number of experiments, and the results of three of these are presented in detail. © 1981.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/0045-7949(81)90097-3	en
dc.identifier.isi	ISI:A1981MJ43700021	en
dc.identifier.volume	14	en
dc.identifier.issue	1-2	en
dc.identifier.spage	157	en
dc.identifier.epage	161	en