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A trust region method based on interior point techniques for nonlinear programming. (English) Zbl 1033.90152
Summary: An algorithm for minimizing a nonlinear function subject to nonlinear inequality constraints is described. It applies sequential quadratic programming techniques to a sequence of barrier problems, and uses trust regions to ensure the robustness of the iteration and to allow the direct use of second-order derivatives. This framework permits primal and primal-dual steps, but the paper focuses on the primal version of the new algorithm. An analysis of the convergence properties of this method is presented.
MSC:
90C51Interior-point methods
90C30Nonlinear programming
90C56Derivative-free methods; methods using generalized derivatives