| Full text | |
| Author(s): |
Andreani, Roberto
;
Behling, Roger
;
Haeser, Gabriel
;
Silva, Paulo J. S.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | OPTIMIZATION METHODS & SOFTWARE; v. 32, n. 1, p. 22-38, FEB 2017. |
| Web of Science Citations: | 3 |
| 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. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 13/05475-7 - Computational methods in optimization |
| Grantee: | Sandra Augusta Santos |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/20339-0 - Penalty methods, optimality conditions, and applications |
| Grantee: | Paulo José da Silva e Silva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 10/19720-5 - Optimality conditions and inexact restoration |
| Grantee: | Gabriel Haeser |
| Support Opportunities: | Research Grants - Young Investigators Grants |