Applications of implicit parametrizations
DOI:
https://doi.org/10.24193/subbmath.2021.1.01Abstract
We review several applications of the implicit parametrization
theorem in optimization. In nonlinear programming, we discuss both
new forms, with less multipliers, of the known optimality conditions, and
new algorithms of global type. For optimal control problems, we analyze
the case of mixed equality constraints and indicate an algorithm, while
in shape optimization problems the emphasis is on the new penalization
approach.
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Published
2021-03-19
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