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Exact Penalty Functions in Constrained Optimization [PDF]

SIAM Journal on Control and Optimization, 1989
Summary: Formal definitions of exactness for penalty functions are introduced and sufficient conditions for a penalty function to be exact according to these definitions are stated, thus providing a unified framework for the study of both nondifferentiale and continuously differentiable penalty functions.
Di Pillo, G., Grippo, L.
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A New Exact Penalty Function

SIAM Journal on Optimization, 2003
A new approach to exact penalization of a constrained, nonlinear optimization problem is introduced. This is motivated by the desire to deal with the following list of perceived failures of other exact penalty methods: 1. nonsmoothness is avoided; 2. the penalized objective remains bounded below under mild assumptions; 3.
Arnold Neumaier
exaly   +3 more sources

Second-order conditions for an exact penalty function

Mathematical Programming, 1980
In this paper we give first- and second-order conditions to characterize a local minimizer of an exact penalty function. The form of this characterization gives support to the claim that the exact penalty function and the nonlinear programming problem are closely related.
A R Conn
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Characterizations for perturbed exact penalty functions [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, X. Q., Ralph, D.
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A Dual Differentiable Exact Penalty Function. [PDF]

, 1981
A new penalty function is associated with an inequality constrained nonlinear programming problem via its dual. This penalty function is globally differentiable if the functions defining the original problem are twice globally differentiable. In addition,
O. L. Mangasarian, S. -P. Han
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A new class of exact penalty functions and penalty algorithms

Journal of Global Optimization, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changyu Wang, Cheng Ma, Jinchuan Zhou
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A dual differentiable exact penalty function

Mathematical Programming, 1983
A new penalty function is associated with an inequality constrained nonlinear programming problem via its dual. This penalty function is globally differentiable if the functions defining the original problem are twice globally differentiable. In addition, the penalty parameter remains finite.
Shih-Ping Han, Olvi L. Mangasarian
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Exact penalty functions in nonlinear programming

Mathematical Programming, 1973
In this paper some new theoretic results on piecewise differentiable exact penalty functions are presented. Sufficient conditions are given for the existence of exact penalty functions for inequality constrained problems more general than concave and several classes of such functions are presented.
James P. Evans, Floyd J. Gould, Jon W. Tolle   +2 more
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On the exactness of a class of nondifferentiable penalty functions

Journal of Optimization Theory and Applications, 1988
We consider a class of non-differentiable penalty functions for the solution of nonlinear programming problems without convexity assumptions. Preliminarily, we introduce a notion of exactness which appears to be of relevance in connection with the solution of the constrained problem by means of unconstrained minimization methods. Then, we show that the
DI PILLO, Gianni, GRIPPO, Luigi
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Exactness and algorithm of an objective penalty function

Journal of Global Optimization, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiqing Meng, Chuangyin Dang, Min Jiang, Xinsheng Xu, Rui Shen 0001   +4 more
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