| 非可微参数规划极值函数方向导数的表示 |
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| 引用本文： | 王先甲,王秋庭.非可微参数规划极值函数方向导数的表示[J].数学杂志,1995,15(4):530-538. |
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| 作者姓名： | 王先甲 王秋庭 |
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| 作者单位： | 武汉水利电力大学，武汉冶金科技大学，武汉水利电力大学 |
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| 摘 要： | 参数规划的极值函数一般是非可微的且没有显示表示。为了讨论极值函数的变化性质，研究其方向导数有重要作用。本文对两类非可微函数（凸函数和拟可微函数）构成的参数规划问题的极值函数，给出了其普通方向导数的等式表示。
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| 关 键 词： | 参数规划 极值函数 凸函数 方向导数 不可微 |
REPRESENTAT1ON OF DIRECTION AL DERIVATIVES OF THE OPTIMAL VALUE FUNCTIONS IN NONDIFFERENTIABLE PARAMETRIC NONLINEARPROGRAMMING |
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| WangXianjia.REPRESENTAT1ON OF DIRECTION AL DERIVATIVES OF THE OPTIMAL VALUE FUNCTIONS IN NONDIFFERENTIABLE PARAMETRIC NONLINEARPROGRAMMING[J].Journal of Mathematics,1995,15(4):530-538. |
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| Authors: | WangXianjia |
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| Abstract: | In general,the optimal value functions of parametric nonlinear programming are non-differentiable and are not explicitly expressed.In order to discuss the changing properties of the optimal value functions,it is very useful to investigate the directional derivatives of the optimal value function,In this paper,the directional deriviatives of the optimal value functions in nondifferentiable parametric nonlinear programming constituted by two classes of nondifferentiable functions,being convex and quasidifferentiable,are given in the form of equality,rather than inequality. |
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| Keywords: | Parametric nonlinear programming optimal value function convex function quasidifferentiable function directional derivative |
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