Stated in such a manner, this principle is simply a statement of the Hilbert projection theorem.
2.
In mathematics, "'Wirtinger's representation and projection theorem "'is a theorem proved by Wilhelm Wirtinger in 1932 in connection with some problems of approximation theory.
3.
These results are used by the theory of convex minimization along with geometric notions from functional analysis ( in Hilbert spaces ) such as the Hilbert projection theorem, the separating hyperplane theorem, and Farkas'lemma.