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A network penalty method

Mathematical Programming, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. B. Gamble   +2 more
openaire   +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.
openaire   +1 more source

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
openaire   +1 more source

Über eine Penalty-Methode

Computing, 1972
Das allgemeine konvexe Optimierungsproblemf(x)=Min! unter den Restriktionenx∈Q, g(x)∈Y in reflexiven Banachraumen wird als zweistufige Optimierungs-aufgabe gedeutet und mit der Methode der Regularisierung behandelt. Es ergibt sich so eine Penalty-Methode fur Aufgaben mit unendlich vielen Nebenbedingungen.
openaire   +2 more sources

On penalty methods for minimax problems

Zeitschrift für Operations Research, 1986
Minimax problems play an important role in different fields of nonlinear analysis (game theory, duality theory, fixed point theory). After the introduction of the problem and some of its basic properties the paper investigates penalty methods to solve minimax problems.
openaire   +1 more source

Classification of Some Penalty Methods

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   +3 more
openaire   +2 more sources

The penalty boundary method

Finite Elements in Analysis and Design, 2003
Traditional methods for applying boundary conditions in finite element analysis require the mesh to conform to the geometry boundaries. This in turn requires complex meshing algorithms for automated mesh generation from CAD geometry, particularly when using quadrilateral and hexahedral elements.
B.W. Clark, D.C. Anderson
openaire   +1 more source

Exact Penalty Methods

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 ...
openaire   +2 more sources

Penalty and Barrier Methods

2008
Penalty and barrier methods are procedures for approximating constrained optimization problems by unconstrained problems. The approximation is accomplished in the case of penalty methods by adding to the objective function a term that prescribes a high cost for violation of the constraints, and in the case of barrier methods by adding a term that ...
David G. Luenberger, Yinyu Ye
openaire   +1 more source

Decrease of the Penalty Parameter in Differentiable Penalty Function Methods

open access: yesTheoretical Economics Letters, 2011
We propose a simple modification to the differentiable penalty methods for solving nonlinear programming problems. This modification decreases the penalty parameter and the ill-conditioning of the penalty method and leads to a faster convergence to the optimal solution.
Roohollah Aliakbari Shandiz   +1 more
exaly   +3 more sources

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