With merit function , the origin problem can be conformed to unconstrained or constrained minimization problems 利用merit函数的极小化变形可分为无约束和约束两种类型。
In this paper , we consider identifications of physical parameters in the following parabolic initial - boundary value problems . the identification problem is formulated as a constrained minimization problem by using the output least squares approach with the h1 - regularization 作为一个最优控制问题,我们视温度分布v为输出,参数q ( x )为控制,考虑了一类最优控制问题的逆问题。
By intro - ducing a penalty function as the following , for every e > 0 , we construct a sequence of unconstrained minimization problems to approximate the constrained minimization problem . the solutions of such a sequence of unconstrained minimization problems all exist , and they converge to the solution of the constrained minimization problem in a certain sense 这列无约束极小化问题( p _ )的解都是存在的,并且在某种意义下收敛至原始约束极小化问题( p )的解,不仅如此,它们的性能指标也收敛至原始问题( p )解的性能指标。