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Exact Penalty Methods [PDF]

, 1994
Exact penalty methods for the solution of constrained optimization problems are based on the construction of a function whose unconstrained minilnizing points are also solution of the constrained problem. In the first part of this paper we recall some definitions concerning exactness properties of penalty functions, of barrier functions, of augmented ...
DI PILLO, Gianni, G. Pillo, G. Di Pillo
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Classification of Some Penalty Methods [PDF]

, 2009
Optimization problems arise in science, engineering, economy, etc. and we need to find the best solutions for each reality. The methods used to solve these problems depend on several factors, including the amount and type of accessible information, the available algorithms for solving them, and, obviously, the intrinsic characteristics of the problem.
Correia, Aldina, Matias, João, Mestre, Pedro, Serôdio, Carlos   +3 more
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Spectral penalty methods [PDF]

Applied Numerical Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hesthaven, Jan S.
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Analysis of a Penalty Method

Journal of Scientific Computing, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingshan Chen, Youngjoon Hong, Roger Temam   +2 more
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The oracle penalty method

Journal of Global Optimization, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Schlüter, Matthias Gerdts
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A network penalty method

Mathematical Programming, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. B. Gamble, Andrew R. Conn, William R. Pulleyblank   +2 more
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Automatic decrease of the penalty parameter in exact penalty function methods [PDF]

European Journal of Operational Research, 1995
This paper presents an analysis of the involvement of the penalty parameter in exact penalty function methods that yields modifications to the standard outer loop which decreases the penalty parameter (typically dividing it by a constant).
Annick Sartenaer
exaly   +3 more sources

Penalty Function Methods for Constrained Optimization with Genetic Algorithms [PDF]

Mathematical and Computational Applications, 2005
- Genetic Algorithms are most directly suited to unconstrained optimization. Application of Genetic Algorithms to constrained optimization problems is often a challenging effort. Several methods have been proposed for handling constraints.
Özgur Yeniay
exaly   +2 more sources

On penalty methods for interelement constraints

Computer Methods in Applied Mechanics and Engineering, 1982
Abstract The problem of enforcing constraints across interelement boundaries can be treated directly in the construction of the basis or by using multiplier or penalty methods. We demonstrate that the multiplier approach can induce linear dependence in the constraints and lead to a singular system of equations if appropriate precautions are not ...
Carey, G. F., Kabaila, A., Utku, M.
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A penalty method for nonlinear programming

RAIRO - Operations Research, 2019
This paper presents a variant of logarithmic penalty methods for nonlinear convex programming. If the descent direction is obtained through a classical Newton-type method, the line search is done on a majorant function. Numerical tests show the efficiency of this approach versus classical line searches.
Larbi Bachir Cherif, Bachir Merikhi
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