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| Type: | Artigo |
| Title: | On Second-order Optimality Conditions In Nonlinear Optimization On second-order optimality conditions in nonlinear optimization |
| Author: | Andreani, Roberto Behling, Roger Haeser, Gabriel Silva, Paulo J. S. |
| Abstract: | In this work we present new weak conditions that ensure the validity of necessary second-order optimality conditions (SOC) for nonlinear optimization. We are able to prove that weak and strong SOCs hold for all Lagrange multipliers using Abadie-type assumptions. We also prove weak and strong SOCs for at least one Lagrange multiplier imposing the Mangasarian-Fromovitz constraint qualification and a weak constant rank assumption. In this work we present new weak conditions that ensure the validity of necessary second-order optimality conditions (SOC) for nonlinear optimization. We are able to prove that weak and strong SOCs hold for all Lagrange multipliers using Abadie-type assum |
| Subject: | Nonlinear Optimization Constraint Qualifications Second-order Optimality Conditions Condições de otimalidade Otimização não-linear Lagrange, Multiplicadores de Condições de qualificação |
| Country: | Reino Unido |
| Editor: | Taylor & Francis |
| Citation: | Optimization Methods And Software. Taylor & Francis Ltd, v. 32, p. 22 - 38, 2017. |
| Rights: | fechado fechado |
| Identifier DOI: | 10.1080/10556788.2016.1188926 |
| Address: | https://www.tandfonline.com/doi/full/10.1080/10556788.2016.1188926 |
| Date Issue: | 2017 |
| Appears in Collections: | IMECC - Artigos e Outros Documentos |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| 000390414500002.pdf | 387.12 kB | Adobe PDF | View/Open |
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