Time: 9h00, Wednesday, June 22, 2016
Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: We provide solution existence results for the convex  quadratic programming problems in Hilbert spaces, which the constraint set is defined by finitely many convex quadratic inequalities.  In order to obtain our results, we shall use  either the properties of the Legendre form or the properties of the finite-rank operator. The existence results  are  established without requesting neither coercivity of the objective function nor compactness of the constraint set.