一个新的低阶精确罚函数及其性质

为了求解不等式约束非线性规划问题,提出一个新的低阶罚函数,它是经典l1罚函数和低阶罚函数的一种组合.理论分析和例子表明,新提出的低阶罚函数具有这两种罚函数的各自优点.另外,还提出了一个求解此问题的罚函数方法并证明了该方法的全局收敛性.

On a New Lower Order Exact Penalty Function

For the inequality constrained nonlinear programming problem, the antnors propose a new lower order penalty function, which combines the classical l1 penalty function and the lower order exact penalty function introduced in thoy some papers, and then illustrate that it has the merits of the two penalty functions. In additional, we propose a solution method for solving the inequality constrained nonlinear programming problem and prove its global convergence.