Artículo
A geometrical approach to indefinite least squares problems
Fecha de publicación:
06/2010
Editorial:
Springer
Revista:
Acta Applicandae Mathematicae
ISSN:
0167-8019
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Given Hilbert spaces H and K, a (bounded) closed range operator C : H → K and a vector y ∈ K, consider the following indefinite least squares problem: find u ∈ H such that h B(Cu − y), Cu − y i = minx∈H h B(Cx − y), Cx − y i, where B : K → K is a bounded selfadjoint operator. This work is devoted to give necessary and sufficient conditions for the existence of solutions of this abstract problem. Although the indefinite least squares problem has been thoroughly studied in finite dimensional spaces, the geometrical approach presented in this manuscript is quite different from the analytical techniques used before. As an application we provide sufficient conditions for the existence of solutions of some H∞ estimation problems.
Palabras clave:
Cuadrados Minimos
,
Métrica Indefinida
,
Pseudoinversas
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Martinez Peria, Francisco Dardo; A geometrical approach to indefinite least squares problems; Springer; Acta Applicandae Mathematicae; 111; 1; 6-2010; 65-81
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