不等式约束最优化问题最优性条件的教学

Teaching on optimality conditions of inequality constrained optimization problems

不等式约束最优化问题最优性条件的分析往往是建立在Farkas引理上的,而Farkas引理与约束最优化问题的最优性条件没有直接的关系.对约束最优化问题的最优性条件进行教学研究,给出了一种不依赖Farkas引理的教学设计思路.整个教学设计的思路是建立在等式约束的最优性条件上,因此更易于学生建构起最优性条件的理论体系.

The analysis of the optimality conditions of inequality constrained optimization problems is often based on Farkas lemma, which has no direct relationship with the optimality conditions of constrained optimization problems.The teaching of the optimality conditions of constrained optimization problems is studied,and a teaching design idea is given,which does not depend on Farkas lemma.The whole idea of teaching design is based on the optimality conditions of equality constraints,so it is easier for students to construct the theoretical system of optimality conditions.