Successive Linearization Methods for Nonlinear Semidefinite Programs
Computational Optimization and Applications
A primal-dual interior point method for nonlinear optimization over second-order cones
Optimization Methods & Software
On the convergence of augmented Lagrangian methods for nonlinear semidefinite programming
Journal of Global Optimization
A homotopy method for nonlinear semidefinite programming
Computational Optimization and Applications
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In this paper we propose a global algorithm for solving nonlinear semidefinite programming problems. This algorithm, inspired by the classic SQP (sequentially quadratic programming) method, modifies the S-SDP (sequentially semidefinite programming) local method by using a nondifferentiable merit function combined with a line search strategy.