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