With merit function , the origin problem can be conformed to unconstrained or constrained minimization problems 利用merit函數的極小化變形可分為無約束和約束兩種類型。
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 作為一個最優控制問題,我們視溫度分布v為輸出,參數q ( x )為控制,考慮了一類最優控制問題的逆問題。
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 這列無約束極小化問題( p _ )的解都是存在的,并且在某種意義下收斂至原始約束極小化問題( p )的解,不僅如此,它們的性能指標也收斂至原始問題( p )解的性能指標。