Large-Scale Dynamic Optimization Using the Directional Second-Order Adjoint Method

Truncated-Newton methods provide an effective way to solve large-scale optimization problems by achieving savings in computation and storage. For dynamic optimization, the Hessian−vector products required by these methods can be evaluated accurately at a computational cost which is usually insensitive to the number of optimization variables using a novel directional second-order adjoint (dSOA) method. The case studies presented in this paper demonstrate that a “dSOA-powered” truncated-Newton method is a promising candidate for the solution of large-scale dynamic optimization problems.