<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> / Thesis / Master of Science (MSc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/20154 |
| Date | 08 1900 |
| Creators | Sherif, Nagwa |
| Contributors | Kovarik, Z. V., Mathematics |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
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