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The Generalized Penalty-Function/Surrogate Model
Operations Research, 1973This paper combines the monotonic-penalty-function and surrogate models into a general model called the penalty-function/surrogate model. It unifies and generalizes the central theorems of earlier papers, and provides some new theorems that can be specialized to the Lagrangian penalty-function model (GLM) or to linear surrogates.
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On differentiable exact penalty functions
Journal of Optimization Theory and Applications, 1986We study a differentiable exact penalty function for solving twice continuously differentiable inequality constrained optimization problems. Under certain assumptions on the parameters of the penalty function, we show the equivalence of the stationary points of this function and the Kuhn-Tucker points of the restricted problem as well as their extreme ...
Vinante, C., Pintos, S.
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Penalty function versus non-penalty function methods for constrained nonlinear programming problems
Mathematical Programming, 1971The relative merits of using sequential unconstrained methods for solving: minimizef(x) subject togi(x) ź 0, i = 1, ź, m, hj(x) = 0, j = 1, ź, p versus methods which handle the constraints directly are explored. Nonlinearly constrained problems are emphasized.
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Penalty Functions in a Control Problem
Automation and Remote Control, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non-Linear Programming Via Penalty Functions
Management Science, 1967The non-linear programming problem seeks to maximize a function f(x) where the n component vector x must satisfy certain constraints gi(x) = 0, i = 1, …, m1 and gi(z) ≧ 0, i = m1 + 1, …, m. The algorithm presented in this paper solves the non-linear programming problem by transforming it into a sequence of unconstrained maximization problems ...
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Penalty functions in subanalytic optimization
Optimization, 1992We define an exact penalty function for optimization problems defined by subanalytic functions with equality or inequality ...
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The albedo–climate penalty of hydropower reservoirs
Nature Energy, 2021Georg Wohlfahrt +2 more
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