| Full text | |
| Author(s): |
Behling, R.
;
Fischer, A.
;
Haeser, G.
;
Ramos, A.
;
Schoenefeld, K.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | OPTIMIZATION; v. 66, n. 8, p. 15-pg., 2017-01-01. |
| Abstract | |
In this paper, we first derive a characterization of the solution set of a continuously differentiable system of equations subject to a closed feasible set. Assuming that a constrained local error bound condition is satisfied, we prove that the solution set can locally be written as the intersection of a differentiable manifold with the feasible set. Based on the derivation of this result, we then show that the projected Levenberg-Marquardt method converges locally R-linearly to a possibly nonisolated solution under significantly weaker conditions than previously done. (AU) | |
| FAPESP's process: | 13/05475-7 - Computational methods in optimization |
| Grantee: | Sandra Augusta Santos |
| Support Opportunities: | Research Projects - Thematic Grants |