Acceleration of convergence in solving the eigenvalue problem by matrix iteration using the power method

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dc.contributor.authorMassa, Julio Cesaren
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2020-12-15T19:11:39Zen
dc.date.available2020-12-15T19:11:39Zen
dc.date.issued1985en
dc.description.abstractA modification of the matrix iteration using the power method, in conjunction with Hotelling deflation, for the solution of the problem K.x = ω².M.x is here proposed. The problem can be written in the form D.x =λ.x, and the modification consists of raising the matrix D to an appropriate power p before carrying out the iteration process. The selection of a satisfactory value of p is investigated, based on the spacing between the eigenvalues. The effect of p on the accuracy of the results is also discussed.en
dc.description.degreeM.S.en
dc.format.extentiv, 34 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/101452en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13978193en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1985.M3183en
dc.subject.lcshEigenvaluesen
dc.subject.lcshIterative methods (Mathematics)en
dc.subject.lcshNumerical analysis -- Acceleration of convergenceen
dc.subject.lcshStructural analysis (Engineering) -- Matrix methodsen
dc.titleAcceleration of convergence in solving the eigenvalue problem by matrix iteration using the power methoden
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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