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As an approach to solving nonlinear programs, the paper discusses a class of functions known to be exact penalty functions for a proper choice of the parameters. The goal is to iteratively determine the correct parameter values. A basic algorithm has been developed. The author proved that this algorithm converges for concave programs, and in the limited computational tests performed to date it has always converged for nonconcave programs also. Suggestions for continuing the work are given.
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Iterative determination of parameters for an exact penalty function
1971, Naval Postgraduate School
in English
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Book Details
Edition Notes
Title from cover.
"December 1971"--Cover.
"NPS55Hh71121A"--Cover.
DTIC Descriptors: penalty functions, Lagrange multipliers, duality theory.
Author(s) subject terms: nonlinear programming, penalty functions, mathematical programming, optimization, Lagrance multipliers.
Includes bibliographical references (p. 24)
"Approved for public release; distribution unlimited"--Cover.
Technical report; 1971.
ck/ 8/19/09.
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