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。
In this article , we consider the methods for solving nonlinear complementarity problems from two aspects : one is the equivalent formulation of minimization , the other is the equivalence formulation of equation . to the former , we give a new derivative - free descent algorithm based on constrained minimization formulation . to the later , we construct a new homotopy equation and give its algorithm 在本篇論文中,我們從兩個方面考慮非線性互補問題的解決方法,一個是利用原始問題的極小化等價變形,給出了求解約束極小化問題的derivative - free下降算法;另一個是利用方程形式等價變形,構造了新的同倫方程并給出了相應的算法。
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。