Singular value estimates of oblique projections
Let W and M be two finite dimensional subspaces of a Hilbert space H such that H = W ⊕ M>SUP>⊥</SUP>, and let PW ‖ M⊥ denote the oblique projection with range W and nullspace M⊥. In this article we get the following formula for the singular values of P W‖M⊥: 2 (sk (P W ‖ M⊥) - 1) = min,...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2009
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/82705 |
| Aporte de: |
| id |
I19-R120-10915-82705 |
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| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Ciencias Exactas Angle between subspaces Generalized inverses Projections |
| spellingShingle |
Ciencias Exactas Angle between subspaces Generalized inverses Projections Antezana, Jorge Abel Corach, Gustavo Singular value estimates of oblique projections |
| topic_facet |
Ciencias Exactas Angle between subspaces Generalized inverses Projections |
| description |
Let W and M be two finite dimensional subspaces of a Hilbert space H such that H = W ⊕ M>SUP>⊥</SUP>, and let PW ‖ M⊥ denote the oblique projection with range W and nullspace M⊥. In this article we get the following formula for the singular values of P W‖M⊥: 2 (sk (P W ‖ M⊥) - 1) = min, (F, H) ∈ X (W, M) Sk (F - H)<SUP>2</SUP>,where the minimum is taken over the set of all operator pairs (F, H) on H such that R (F) = W, R (H) = M and FH* = P W ‖ M⊥, and k ∈ {1, ..., dim W}. We also characterize all the pairs where the minimum is attained. |
| format |
Articulo Articulo |
| author |
Antezana, Jorge Abel Corach, Gustavo |
| author_facet |
Antezana, Jorge Abel Corach, Gustavo |
| author_sort |
Antezana, Jorge Abel |
| title |
Singular value estimates of oblique projections |
| title_short |
Singular value estimates of oblique projections |
| title_full |
Singular value estimates of oblique projections |
| title_fullStr |
Singular value estimates of oblique projections |
| title_full_unstemmed |
Singular value estimates of oblique projections |
| title_sort |
singular value estimates of oblique projections |
| publishDate |
2009 |
| url |
http://sedici.unlp.edu.ar/handle/10915/82705 |
| work_keys_str_mv |
AT antezanajorgeabel singularvalueestimatesofobliqueprojections AT corachgustavo singularvalueestimatesofobliqueprojections |
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Repositorios |
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1764820488545107974 |