Back to results
Virginia Polytechnic Institute and State University
Acceleration of convergence in solving the eigenvalue problem by matrix iteration using the power method
Abstract
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.
Degree
thesis:*- Name thesis:degree_name
- M.S.
- Level thesis:degree_level
- masters
- Discipline thesis:degree_discipline
- Engineering Mechanics
- Department dc:contributor.department
- Engineering Mechanics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1985
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Massa, Julio Cesar
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/101452
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/101452