SOLUTION OF THE PARTIAL EIGENPROBLEM BY ITERATIVE METHODS.

Papadrakakis, M

dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:06:20Z
dc.date.available	2014-03-01T01:06:20Z
dc.date.issued	1984	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9314
dc.subject	Iteration Method	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	STRUCTURAL ANALYSIS	en
dc.subject.other	STRUCTURAL DESIGN - Vibrations	en
dc.subject.other	CONJUGATE GRADIENT METHOD	en
dc.subject.other	EIGENPROBLEMS	en
dc.subject.other	RAYLEIGH QUOTIENT	en
dc.subject.other	SPARSE MATRICES	en
dc.subject.other	SUCCESSIVE CO-ORDINATE OVERRELAXATION METHOD	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	SOLUTION OF THE PARTIAL EIGENPROBLEM BY ITERATIVE METHODS.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620201209	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620201209	en
heal.language	English	en
heal.publicationDate	1984	en
heal.abstract	A combined iterative method is formulated for the partial solution of the eigenproblem Ax equals lambda Bx that arises from the application of the finite element method. The method is a combination of the conjugate gradient method and the symmetric successive co-ordinate overrelaxation method. Both of these methods belong to the same family of iterative methods which retain their vectorial form and approach the solution by seeking stationary points of the Rayleigh quotient. The behaviour of the method is illustrated for five test cases and comparisons are made with other iterative methods. The influence of the relaxation parameter omega on the computational efficiency of the methods is also studied.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620201209	en
dc.identifier.isi	ISI:A1984AAW5000008	en
dc.identifier.volume	20	en
dc.identifier.issue	12	en
dc.identifier.spage	2283	en
dc.identifier.epage	2301	en