On transformations and perturbations of orthogonal r-frames
A 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 homo...
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| Format: | Article |
| Language: | English |
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Universidad del Zulia
2011-02-01
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| Series: | Revista Técnica de la Facultad de Ingeniería |
| Online Access: | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5384 |
| Summary: | A 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 fund them cubically close. In this work we describe an efficient algorithm to compute the balanced transformation.
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| ISSN: | 0254-0770 2477-9377 |