Accession Number : AD0728447
Title : The Gradient Projection Method and Curry's Theorem.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : McCormick,G. P. ; Tapia,R. A.
Report Date : JUN 1970
Pagination or Media Count : 17
Abstract : Consider the sequence obtained by applying the gradient projection method to the problem of minimizing a continuously differentiable functional over a closed convex subset of a real Hilbert space. In this paper it is shown that if the subset is a regular subset, which includes polyhedral subsets, or the positive cone of an orthogonal set, then any cluster point of this sequence must be a constrained stationary point. These results generalize a well-known theorem, due to Curry, for unconstrained minimization in Euclidean space. (Author)
Descriptors : (*FUNCTIONS, OPTIMIZATION), MATHEMATICAL PROGRAMMING, CONVEX SETS, HILBERT SPACE, CONVERGENCE, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE