Abstract
Given a closed convex coneK in a Hilbert spaceH and a vectoru 0 ∈H, a penalty method is built up in order to approximate the projection ofu 0 over the polar coneK * ofK, without making use of the inverse transform of the canonical mapping ofH into its dual spaceH′. Such method is outlined in n0 1, 2. In n03 a complete analysis of the errors of the method is explained. In n04 the method is applied to find error bounds for the numerical approximation of the projection ofu 0 onK.
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