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):

Report Date:

1970-06-01

Pagination or Media Count:

17.0

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE