Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points

Author:

Birgin E. G.,Haeser G.,Ramos A.

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Reference61 articles.

1. Agarwal, N., Allen-Zhu, Z., Bullins, B., Hazan, E., Ma T.: Finding local minima for nonconvex optimization in linear time. arXiv:1611.01146

2. Anandkumar, A., Ge, R.: Efficient approaches for escaping higher order saddle points in non-convex optimization. arXiv:1602.05908v1

3. Andreani, R., Behling, R., Haeser, G., Silva, P.J.S.: On second order optimality conditions for nonlinear optimization. Optim. Methods Softw. 32, 22–38 (2017)

4. Andreani, R., Birgin, E.G., Martínez, J.M., Schuverdt, M.L.: Augmented Lagrangian methods under the constant positive linear dependence constraint qualification. Math. Program. 112, 5–32 (2008)

5. Andreani, R., Birgin, E.G., Martínez, J.M., Schuverdt, M.L.: On Augmented Lagrangian methods with general lower-level constraints. SIAM J. Optim. 18, 1286–1309 (2008)

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