Angles Between Subspaces and Application to Perturbation Theory

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DC Field	Value	Language
dc.contributor.advisor	Kovarik, Z. V.	-
dc.contributor.author	Sherif, Nagwa	-
dc.date.accessioned	2016-08-17T17:07:27Z	-
dc.date.available	2016-08-17T17:07:27Z	-
dc.date.issued	1977-08	-
dc.identifier.uri	http://hdl.handle.net/11375/20154	-
dc.description.abstract	<p> It is known that when two subspaces of a Hilbert space are in some sense close to each other, then there exists a unitary operator which is called the direct rotation. This operator maps one of the subspaces onto the other while being as close to identity as possible. In this thesis we study such a pair of subspaces, and the application of the angles between them to the invariant subspace perturbation theory We also develop an efficient algorithm for computing the direct rotation for pairs of subspaces of relatively small dimension. </p>	en_US
dc.language.iso	en	en_US
dc.subject	Angles	en_US
dc.subject	Subspaces	en_US
dc.subject	Perturbation Theory	en_US
dc.subject	Hilbert space	en_US
dc.title	Angles Between Subspaces and Application to Perturbation Theory	en_US
dc.contributor.department	Mathematics	en_US
dc.description.degreetype	Thesis	en_US
dc.description.degree	Master of Science (MSc)	en_US
Appears in Collections:	Open Access Dissertations and Theses

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