Results 151 to 160 of about 273,786 (182)

Exact Penalty Functions for Nondifferentiable Programming Problems

1989
In recent years an increasing attention has been devoted to the use of nondifferentiable exact penalty functions for the solution of nonlinear programming problems. However, as pointed out in [22], virtually all the published literature on exact penalty functions treats one of two cases: either the nonlinear programming problem is a convex problem (see,
DI PILLO, Gianni, FACCHINEI, Francisco
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Exact Penalty Functions for Convex Bilevel Programming Problems

Journal of Optimization Theory and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, G. S., Han, J. Y., Zhang, J. Z.
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General exact penalty functions in integer programming

Journal of Shanghai University (English Edition), 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Fusheng, Zhang, Liansheng, Wu, Zhiyou   +2 more
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Exact penalty function for nonlinear programming problems

Cybernetics, 1987
The authors study the constrained nonlinear programming problem min\(\{\) f(x)\(|\) g(x)\(\leq 0\), \(h(x)=0\}\), where g: \(R^ n\to R^ m\), h: \(R^ n\to R^ l\). Instead of solving the constrained problem directly, they study the nonsmooth exact penalty function \(\phi (x,N)=f(x)+N\| g^+(x)\), \(h(x)\|\), where \(g^+(x)=g^+_ 1(x),...,g^+_ m(x))^ and\) \
Danilin, Yu. M., Kovnir, V. N.
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Exact penalty functions and Lagrange multipliers

Optimization, 1991
In this paper we consider a class of nondifferentiable penalty functions associated with a Lipschitz programming problem with an abstract geometric constraint. We analyse the relationship between this class of functions and Kuhn-Tucker type necessary conditions for the programming problem.
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Lower order calmness and exact penalty function

Optimization Methods and Software, 2006
In this article, we investigate the exact penalty properties of a lower order penalty function under a lower order calmness conditions. It is shown that the local exact penalization of the lower order penalty function with any positive penalty parameter holds under the local lower order calmness condition.
F. S. Bai, Z. Y. Wu, D. L. Zhu
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Recent results on nondifferentiable exact penalty functions

1988
In this paper we introduce a quite natural definition of exactness for penalty functions and we show that the best known class of nondifferentiable penalty functions is exact according to this definition. Moreover, we introduce a new class of nondifferentiable exact penalty functions containing a barrier term which causes the unconstrained minimizers ...
DI PILLO, Gianni, GRIPPO, Luigi
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Exact penalty function algorithm with simple updating of the penalty parameter

Journal of Optimization Theory and Applications, 1991
See the preview in Zbl 0702.90074.
de O. Pantoja, J. F. A., Mayne, D. Q.
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A sufficient condition for exact penalty functions

Optimization Letters, 2009
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New simple exact penalty function for constrained minimization

Applied Mathematics and Mechanics, 2012
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Zheng, Fang-ying, Zhang, Lian-sheng
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