| 非线性规划的凸化,凹化和单调化 |
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| 引用本文： | 张连生,邬冬华.非线性规划的凸化,凹化和单调化[J].数学年刊A辑(中文版),2002(4). |
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| 作者姓名： | 张连生 邬冬华 |
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| 作者单位： | 上海大学数学系 上海200436
(张连生)，上海大学数学系 上海200436(邬冬华) |
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| 摘 要： | 本文提出了一个指数型凸化,凹化变换,并证明了单调非线性规划总能变换成相应的凹规划或凸规划.还证明了带某种类型线性或非线性约束的非线性规划在适当条件下能变换成单调非线性规划.
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| 关 键 词： | 指数型凸化变换 指数型凹化变换 单调非线性规划 |
CONVEXIFICATION, CONCAVIFICATION AND MONOTONIZATION IN NONLINEAR PROGRAMMING |
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| ZHANG Liansheng WU Donghua.CONVEXIFICATION, CONCAVIFICATION AND MONOTONIZATION IN NONLINEAR PROGRAMMING[J].Chinese Annals of Mathematics,2002(4). |
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| Authors: | ZHANG Liansheng WU Donghua |
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| Institution: | ZHANG Liansheng WU Donghua Department of Mathematics,Shanghai University,Shanghai 200436,China. |
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| Abstract: | This paper proposes an exponential convexification or concavification transformation, and prove that a monotone nonlinear programming can always be converted into a concave or convex programming. The authors then show that a general nonlinear programming with some linear contraints must be reduced to a monotone nonlinear programming. |
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| Keywords: | Exponential convexification transformation Exponential concavification transformation Monotone nonlinear programming |
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