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一个新的低阶精确罚函数及其性质
  • 期刊名称：重庆大学学报（自然科学版）Vol.30, No.5, pp.123-126, 2007
  • 时间：0
  • 分类：O221[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]重庆大学数理学院,重庆400030
  • 相关基金：国家自然科学基金资助项目（60574073和10471142）.
  • 相关项目：在网络系统中多指标平衡问题的理论与方法研究
关键词： 不等式约束非线性规划, 精确罚函数, 低阶罚函数, iInequality constrained nonlinear programming, exact penalty function, lower order penalty function
中文摘要：

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。

英文摘要：

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.

同期刊论文项目
在网络系统中多指标平衡问题的理论与方法研究
期刊论文 36
向量优化的基础理论，等价性与复杂性研究
期刊论文 20 著作 1
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