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Robinson, S.M. (1983). Local Structure of Feasible Sets in Nonlinear Programming - Part II. Nondegeneracy. IIASA Collaborative Paper. IIASA, Laxenburg, Austria: CP-83-052
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Abstract
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.
| Item Type: | Monograph (IIASA Collaborative Paper) |
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| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 01:53 |
| Last Modified: | 27 Aug 2021 17:11 |
| URI: | http://pure.iiasa.ac.at/2330 |
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