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On some estimates of the penalty coefficient in methods of exact penalty functions

USSR Computational Mathematics and Mathematical Physics, 1984
The paper considers the standard differentiable nonlinear programming problem to which the exact penalty function method is applied. Upper and lower estimations of the penalty factor are obtained by means of the Minkowski function of the subdifferential of the constraints. These estimates are derived for several concrete penalty functions.
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A lower bound for the controlling parameters of the exact penalty functions

Mathematical Programming, 1978
The purpose of this paper is to present new exact penalty functions and discuss their properties. A lower bound on the controlling parameters is given, for which above this value, the optimum of the exact penalty function coincides with the optimum of the nonlinear programming problem.
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Exact penalty functions and stability in locally Lipschitz programming

Mathematical Programming, 1984
We extend the theory of exact penalty functions for nonlinear programs whose objective functions and equality and inequality constraints are locally Lipschitz; arbitrary simple constraints are also allowed. Assuming a weak stability condition, we show that for all sufficiently large penalty parameter values an isolated minimum of the nonlinear program ...
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Exact penalty—Functions in infinite optimization

1975
For a class of penalty functions including those considered by Zangwill (7), Pietrzykowski (8) and Evans, Gould and Tolle (2) we show the essentialnecessary and sufficient properties for local exactness in an infinite dimensional optimization problem.
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A new exact exponential penalty function method and nonconvex mathematical programming

Applied Mathematics and Computation, 2011
Tadeusz Antczak
exaly  

On Smoothingl1Exact Penalty Function for Constrained Optimization Problems

Numerical Functional Analysis and Optimization, 2019
Xinsheng Xu   +2 more
exaly  

On the Smoothing of the Square-Root Exact Penalty Function for Inequality Constrained Optimization

Computational Optimization and Applications, 2006
Zhiqing Meng, Chuangyin Dang, X Q Yang
exaly  

Exactness of penalization for exact minimax penalty function method in nonconvex programming

Applied Mathematics and Mechanics (English Edition), 2015
T Antczak
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A simple smooth exact penalty function for smooth optimization problem

Journal of Systems Science and Complexity, 2012
Shujun Lian   +2 more
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