Indefinite least-squares problems and pseudo-regularity
Given two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = min<sub>x∈H</sub>[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly st...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/86713 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/86713 |
| Access Level: | acceso abierto |
| Palabra clave: | Ciencias Exactas Matemática Indefinite least-squares Krein space Pseudo-regular subspace |
| Sumario: | Given two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = min<sub>x∈H</sub>[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of J-normal projections onto the range of C. |
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