Results 161 to 170 of about 273,786 (182)

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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An exact penalty function for semi-infinite programming

Mathematical Programming, 1987
The authors describe an exact penalty function for nonlinear semi- infinite programming. This function is a generalization of the \(\ell_ 1\) exact penalty function for nonlinear programming and may be used as a merit function for semi-infinite programming methods.
Conn, Andrew R., Gould, Nicholas I. M.
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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.
Coleman, T. F., Conn, A. R.
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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.
Meng, Zhiqing, Dang, Chuangyin, Jiang, Min, Xu, Xinsheng, Shen, Rui   +4 more
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New Results on a Continuously Differentiable Exact Penalty Function

SIAM Journal on Optimization, 1992
Summary: The main motivation of this paper is to weaken the conditions that imply the correspondence between the solution of a constrained problem and the unconstrained minimization of a continuously differentiable function. In particular, a new continuously differentiable exact penalty function is proposed for the solution of nonlinear programming ...
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Exact Penalty Functions and Problems of Variation Calculus

Automation and Remote Control, 2004
The main problem (also known as the simplest problem) of variational calculus is used to demonstrate that the theory of exact penalties can be used to find the main results of variational calculus (for example, Euler's conditions) and the tools of nonsmooth analysis can be applied to find the internal nature of the Euler equation and design new direct ...
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A globally convergent algorithm for exact penalty functions

European Journal of Operational Research, 1981
Abstract This algorithm uses the recent theoretical results on exact penalty functions to solve a constrained optimization problem. A penalty parameter is associated with each constraint instead of only one. Moreover it is globally convergent and the direction of descent is quite easy to compute. Two examples of application with computational results
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Exact Penalty Functions in Constrained Optimization Problems

1989
In this paper 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 nondifferentiable and continuously differentiable penalty functions.
DI PILLO, Gianni, GRIPPO, Luigi
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Exact penalty functions method for mathematical programming problems involving invex functions

European Journal of Operational Research, 2009
Tadeusz Antczak
exaly  

AN IDEALIZED EXACT PENALTY FUNCTION

1978
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