| Autor: |
FAZZIO, N. S., NCHEZ, M. D. SÁ, SCHUVERDT, M. L. |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Trends in Computational and Applied Mathematics, Volume: 23, Issue: 4, Pages: 769-781, Published: 14 NOV 2022 |
| ISSN: |
2676-0029 |
| DOI: |
10.5540/tcam.2022.023.04.00769 |
| Popis: |
The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation is based on the use of feasible arcs, but is independent of Lagrange multipliers. Using such a reformulation, we can show that a local minimizer verifies the strong second-order necessary optimality condition. We can also prove that the reformulation is weaker than the known relaxed constant rank constraint qualification in [19]. Furthermore, we demonstrate that the condition is neither related to the MFCQ+WCR in [8] nor to the CCP2 condition, the companion constraint qualification associated with the second-order sequential optimality condition AKKT2 in [5]. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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