dc.creator | Giribet, Juan Ignacio | |
dc.creator | Maestripieri, Alejandra Laura | |
dc.creator | Martinez Peria, Francisco Dardo | |
dc.date.accessioned | 2017-07-03T22:01:32Z | |
dc.date.accessioned | 2018-11-06T11:42:07Z | |
dc.date.available | 2017-07-03T22:01:32Z | |
dc.date.available | 2018-11-06T11:42:07Z | |
dc.date.created | 2017-07-03T22:01:32Z | |
dc.date.issued | 2010-06 | |
dc.identifier | 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 | |
dc.identifier | 0167-8019 | |
dc.identifier | http://hdl.handle.net/11336/19441 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1858024 | |
dc.description.abstract | 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. | |
dc.language | eng | |
dc.publisher | Springer | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10440-009-9532-3 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10440-009-9532-3 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | CUADRADOS MINIMOS | |
dc.subject | MÉTRICA INDEFINIDA | |
dc.subject | PSEUDOINVERSAS | |
dc.title | A geometrical approach to indefinite least squares problems | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |