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PROBLEMS WITH NONLINEAR CONSTRAINTS

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Linear and Nonlinear Optimization

Abstract

In Chap. 12, we presented an Active Set Method for solving optimization problems with a nonlinear objective and linear constraints. There we saw that when moving in a linear direction from one feasible point to another, we could keep a subset of the constraints active (or satisfied). This, in general, is not possible for nonlinear constraints, and the development of appropriate algorithms must take this into account.

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Correspondence to Richard W. Cottle .

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Cottle, R.W., Thapa, M.N. (2017). PROBLEMS WITH NONLINEAR CONSTRAINTS. In: Linear and Nonlinear Optimization. International Series in Operations Research & Management Science, vol 253. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7055-1_13

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