Mathematical Sciences: Gradient Projection and Lagrangian Augmentation Methods for Optimal Control and Other Large Scale Nonlinear Programs

该项目将开展分析和数值研究 针对使用拉格朗日的混合计算方案 增强技术来处理复杂的 约束，梯度投影方法， 显式处理更简单的约束。 这些研究 受最优控制问题的启发， 求解受约束的大型方程组， 特殊的数学结构 最优控制问题出现 在工程学和自然科学中很常见。

This project will develop analytical and numerical studies directed at hybrid computational schemes that use Lagrangian augmentation technology to treat problems with intricate constraints implicitly, and gradient projection methods to handle simpler constraints explicitly. These studies are motivated by questions in optimal control where there is the need to solve large systems of equations subject to contraints with special mathematical structures. Optimal control problems arise naturally in engineering and natural sciences.