Optimization Problems in Banach Spaces with Non-smooth Structure

这个项目的目的是开发和分析算法的数值解的一些高度困难的优化问题在Banach空间。这包括具有互补约束、切换约束或在目标函数或约束中涉及稀疏项的问题的数学规划。通过利用这些问题的特殊结构，我们的目标是在现实的，问题定制的假设下，获得具有强大的全局和局部收敛性能的解决方案。所有的方法都将在几个相关的例子中得到广泛的实施和测试。

The aim of this project is to develop and analyse algorithms for the numerical solution of some highly difficult optimization problems in Banach spaces. This includes mathematical programs with complementarity constraints, switching constraints, or problems involving a sparsity term either in the objective function or the constraints. By exploiting the special structure of these problems, the goal is to derive solution methods with strong global and local convergence properties under realistic, problem-tailored assumptions. All methods will be implemented and tested extensively on several relevant examples.