| 一种新的精确罚函数 |
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| 引用本文： | 江维琼.一种新的精确罚函数[J].云南师范大学学报(自然科学版),2006,26(2):8-9,20. |
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| 作者姓名： | 江维琼 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 对于含约束的非线性规划问题，提出了一种新的精确罚函数的构造，使得它能采用无约束优化方法中许多有效的解析方法。这种新的精确罚函数不同于已经研究的罚函数形式，在一定条件下同时具有精确性和光滑性,为研究同时具有精确和光滑的罚函数方法提供了一个新的途径。文章还讨论了这种精确罚函数的一些性质定理。
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| 关 键 词： | 精确罚函数 非线性规划 约束优化问题 |
| 文章编号： | 1007-9793（2006）02-0008-02 |
| 收稿时间： | 2005-09-29 |
| 修稿时间： | 2005-09-29 |
A New Exact Penalty Function |
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| JIANG Wei-qiong.A New Exact Penalty Function[J].Journal of Yunnan Normal University (Natural Sciences Edition),2006,26(2):8-9,20. |
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| Authors: | JIANG Wei-qiong |
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| Institution: | Department of Mathematics, Chongqing Normal University, Chongqing 400047,China |
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| Abstract: | This paper put forward the structure of a new exact penalty function for constrained nonlinear programming problem. So the valid analytical methods can be used in the unconstrained optimization methods. The kind of new exact penalty function is different from the penalty function form studied and have exactly and smoothly at the certain condition and provide a new method for studying penalty function with the exactly and smoothly at the same time. This paper still gives some theorem and property about the exact penalty function. |
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| Keywords: | exact penalty function nonlinear programming constrained optimization problem |
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