Stationary points of functionals in pre-Hilbert spaces*

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Abstract

A gradient procedure for determining the stationary points of a functional subject to equality functional constraints is described. It is proved that the procedure converges in the neighborhood of certain well-behaved stationary points.

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Preparation of this paper was sponsored in part by the Office of Naval Research and the U. S. Army Research Office (Durham). Reproduction in whole or in part is permitted for any purpose of the United States Government.