Generalized and quadratic eigenvalue problems with hermitian matrices.

Farah, Ali Mohamud (2012). Generalized and quadratic eigenvalue problems with hermitian matrices. University of Birmingham. M.Phil.

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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:	Thesis (Masters by Research > M.Phil.)
Award Type:	Masters by Research > M.Phil.
Licence:
College/Faculty:	Colleges (2008 onwards) > College of Engineering & Physical Sciences
School or Department:	School of Mathematics
Funders:	None/not applicable
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science Q Science > QA Mathematics > QA76 Computer software Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General)
URI:	http://etheses.bham.ac.uk/id/eprint/3458

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