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Lecture 14 Penalty Function Method

Convergence Guarantees of the Practical Quadratic Penalty Method Theorem- Suppose that the tolerances {τ k}and penalty parameters {µ k}satisfy τ k →∞ and µ k ↑∞. Then if a limit point x∗ of the sequence {x k} is infeasible, it is a stationary point of the function h(x)2.On the other hand, if a limit point x∗ is feasible and the constraint gradients ∇h

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  Lecture, Methods, Functions, Penalty, Lecture 14 penalty function method

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