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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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