| Article ID: | iaor200971238 |
| Country: | Netherlands |
| Volume: | 44 |
| Issue: | 3 |
| Start Page Number: | 339 |
| End Page Number: | 348 |
| Publication Date: | Jul 2009 |
| Journal: | Journal of Global Optimization |
| Authors: | Grippo Luigi, Palagi Laura, Piccialli Veronica |
| Keywords: | programming (semidefinite) |
In this paper we consider the standard linear SDP problem, and its low rank nonlinear programming reformulation, based on a Gramian representation of a positive semidefinite matrix. For this nonconvex quadratic problem with quadratic equality constraints, we give necessary and sufficient conditions of global optimality expressed in terms of the Lagrangian function.