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Generalized and quadratic eigenvalue problems with hermitian matrices.

Farah, Ali Mohamud (2012)
M.Phil. thesis, University of Birmingham.

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Abstract

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.

Type of Work:M.Phil. thesis.
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Mathematics and Statistics
Subjects:QA Mathematics
QA75 Electronic computers. Computer science
QA76 Computer software
QC Physics
TA Engineering (General). Civil engineering (General)
Institution:University of Birmingham
ID Code:3458
This unpublished thesis/dissertation is copyright of the author and/or third parties.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.
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