Local Structure of Feasible Sets in Nonlinear Programming - Part II. Nondegeneracy

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2354 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2354 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2354 archive 351 disk0/00/00/23/30 2016-01-15 01:53:50 2021-08-27 17:11:32 2016-01-15 01:53:50 monograph show 2 Robinson S.M. Local Structure of Feasible Sets in Nonlinear Programming - Part II. Nondegeneracy pub iis_met prog_sds In this paper we examine the local structure of the feasible set of a nonlinear programming problem under the condition of nondegeneracy. We introduce this condition, examine its relationships to known properties of optimization problems, and show that when it holds at a given point the portion of the feasible set near that point is diffeomorphic to a simple convex set (often polyhedral). Moreover, this diffeomorphic relation is stable under small changes in the problem functions. 1983-10 published CP-83-052 CP-83-052 public collaborative_paper IIASA, Laxenburg, Austria 32 FALSE info:eu-repo/semantics/book