复合形方法的减维控制

REDUCING DIMENSION CONTROL IN THE COMPOUND METHOD

复合形法是求解约束非线性规划的一种直接方法 ,它计算简单 ,适用性广 ,是解决工程技术问题的常用方法 .但复合形法的减维现象是它的一大缺点 .在文献 [1 ]讨论的基础上 ,本文就n =2 ,k =4及n =3的条件下 ,进一步给出了减维控制定理及方法 ,并指出n≥ 4时 ,也可得出类似的结论 。

The compound method is a direct way for solving constrained nonlinear planning problems.It is simple in calculation,wide in application,and common in engineering technology.But the reducing dimension phenomenon caused by this method is not fully solved.On reference [1] basis,the reducing dimension control theorems and way when n=2,k=4 and n=3 are further presented here,and similar conclusion can be obtained when n≥4.With this approach,the reducing dimension phnomenon in the course of iteration with compound method can be avoided.