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
Descriptors:
Subject Categories:
- Theoretical Mathematics