A Generalized Return Vector for Projection Methods in Optimization With Nonlinear Constraints

[+] Author and Article Information
K. T. A. Ho

W. P. London & Assoc., Niagara Falls, Ontario, Canada

M. A. Townsend

Vanderbilt University, Nashville, Tenn.

J. Eng. Ind 98(3), 816-819 (Aug 01, 1976) (4 pages) doi:10.1115/1.3439035 History: Received June 06, 1975; Online July 15, 2010


Variable metric methods can be adapted to constrained nonlinear optimization by incorporating projection methods and a return vector when the indicated next step leaves the feasible region. A generalized return vector is developed here which yields a superior return to the feasible region in terms of the metric associated with the objective function. It is shown that a better point results and faster convergence is expected. A numerical example is given.

Copyright © 1976 by ASME
Topics: Optimization
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