改进的目标罚函数及性质

On the Improved Objective Penalty Function and Its Properties

为了求解不等式约束非线性规划问题,将已有的带目标参数的罚函数进行改进,证明了这种罚函数的精确罚定理。理论分析和实例表明,改进的目标罚函数不仅具有目标罚函数的优点,而且弥补了它的不足。为研究精确罚函数方法提供了一个新的途径。

For solving an inequality constrained nonlinear programming problem, the author improves an objective penalty function introduced in a paper, and then proves its exact penalty theorem. Theory analysis and an example show that the improved objective penalty function not only has the merits of the objective penalty function but also makes up its weakness. It provides a new approach for studying exact penalty function methods.