Optimization Problems in Banach Spaces with Non-smooth Structure

非光滑结构Banach空间的优化问题

• 批准号: 314067226
• 负责人: Professor Dr. Christian Kanzow
• 金额: --
• 依托单位: Lehrstuhl Mathematik VII (Numerische Mathematik und Optimierung)
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/314067226?language=en
• 关键词: Optimization; Problems; Banach; Spaces; Non

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.

本项目旨在开发和分析Banach空间中一些高难度优化问题的数值解算法。这包括具有互补约束、切换约束或涉及目标函数或约束中稀疏项的问题的数学程序。通过利用这些问题的特殊结构，目标是在现实的、问题定制的假设下推导出具有强全局和局部收敛性质的解方法。所有的方法都将在几个相关的例子上进行实施和广泛的测试。