Explicit solutions of infinite quadratic programs

LetH be a Hilbert space,X be a real Banach space,A: H→X be an operator withD (A) dense inH, G: H→H be positive definite,x ∈D (A) andb ∈H. Consider the quadratic programming problem: $$\begin{gathered} QP:Minimize \frac{1}{2}\left\langle {p,x} \right\rangle + \left\langle {x,Gx} \right\rangle \hfill \\ subject to Ax = b \hfill \\ \end{gathered} $$ In this paper, we obtain an explicit solution to teh above problem using generalized inverses.