Generalized and quadratic eigenvalue problems with hermitian matrices.

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http://eprints.org/relation/isVersionOf http://etheses.bham.ac.uk/id/document/20716 http://eprints.org/relation/isVolatileVersionOf http://etheses.bham.ac.uk/id/document/20716 http://eprints.org/relation/isIndexCodesVersionOf http://etheses.bham.ac.uk/id/document/20716 archive 4031 disk0/00/00/34/58 2012-06-25 12:23:44 2019-01-23 09:56:19 2012-06-25 12:23:44 thesis show 0 Farah Ali Mohamud University of Birmingham Generalized and quadratic eigenvalue problems with hermitian matrices. unpub QA QA75 QA76 QC TA 10col_ephy Eigenvalue and eigenvector computations are extremely important and have various applications in engineering, physics and other scientific disciplines. The aim of this study is partly to examine the existing methods used to solve the generalized eigenvalue problem GEP and the Quadratic eigenvalue problem QEP with definite Hermitian matrices. Furthermore, the research investigates new algorithms and computer programs that reduce the cost of eigenpair (eigenvalue, eigenvector) computations and improve the speed of eigenpair solutions. 2012-07 2012-02 graduation eng author unchecked This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder. public 136 University of Birmingham School of Mathematics m_ph na 2012-07 graduation