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AuthorSherif, N.
Available date2015-11-08T10:27:57Z
Publication Date1993
Publication NameZAMM - Journal of Applied Mathematics and Mechanics
ResourceWiley Online Library
CitationSherif, N. (1993), On Transformations and Perturbations of Orthogonal r-Frames. ZAMM - Journal of Applied Mathematics and Mechanics, 73: 47�54
ISSN1521-4001
URIhttp://dx.doi.org/10.1002/zamm.19930730117
URIhttp://hdl.handle.net/10576/3782
AbstractA decomposition of Cn into a finite direct sum of orthogonal subspaces can be conveniently represented by its orthogonal projector frame, which is the collection of the corresponding orthogonal projectors. Two such decompositions whose frames are close, are known to be linearly homeomorphic and homotopic. In a recent work we compared the resulting geodesic arcs with naturally arising paths, resulting from interpolating the balanced transformation and found them cubically close. In this work we describe an efficient algorithm to compute the balanced transformation.
Languageen
PublisherWILEY-VCH Verlag GmbH & Co.
SubjectOrthogonal frames
perturbations of subspam
angles between subspaces
TitleOn Transformations and Perturbations of Orthogonal r-Frames
TypeArticle
Pagination47–54
Issue Number1
Volume Number73
dc.accessType Abstract Only


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