| 摘要: |
| 利用拉格朗日函数和L 次微分的方法,研究了带有双值和不等式约束的特殊三次规划问题的全局最优性充分条件;首先刻画出该类三次规划问题的拉格朗日函数的抽象次微分，得到了特殊三次规划问题的全局最优性充分条件;然后，举例说明利用所给出的全局最优性充分条件判定当前可行解就是全局最优解是有效的. |
| 关键词: 三次规划 拉格朗日函数 L 次微分 全局最优性充分条件 |
| DOI： |
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| 基金项目: |
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| The Global Optimal Sufficient Conditions for a Special Cubic Minimization Problem with Mixed Constrains |
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ZHOU Li，LI Guo quan
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| Abstract: |
| By employing Lagrangian function and L subdifferential approach，the global optimal sufficient conditions for a class of cubic programming problem involving bivalent and inequality constrains is researched.Firstly，the abstract subdifferential for Lagrangian function of the class of cubic programming problems is calculated explicitly.Then some global optimal sufficient conditions for cubic programming problem with bivalent and inequality constrains are obtained.Finally，some examples are given to illustrate the optimality conditions. |
| Key words: cubic program Lagrangian function L subdifferential global optimal sufficient conditions |
