CRPC-TR96656						Revised October 1997

Title: On the Characterization of Dennis, El-Alem, and Maciel's Class of 
	Trust-Region Algorithms

Author: Mahmoud El-Alem

Abstract:
In a recent paper, Dennis, El-Alem, and Maciel suggested a class of 
trust-region-based algorithms for solving the equality constrained 
optimization problem. They proved global convergence for the class.

In this paper, we characterize this class and present a short, 
straightforward, and self-contained global convergence theory. The 
results are stronger than Dennis, El-Alem, and Maciel's results.

Key Words: Constrained optimization, equality constraints, global 
	convergence, trust-region

AMS subject classifications: 65K05, 49D37