| 关于两种类型优化问题局部最优点之间若干关系的讨论 |
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| 引用本文： | 赵映雪,高文君.关于两种类型优化问题局部最优点之间若干关系的讨论[J].河南师范大学学报(自然科学版),2006,34(2):143-146. |
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| 作者姓名： | 赵映雪 高文君 |
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| 作者单位： | 嘉应学院,数学系,广东,梅州,514015;河南质量工程职业技术学院,基础部,河南,平顶山,467000 |
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| 摘 要： | 任何一个标准型非线性规划,利用松弛变量都可以转化成只含有等式约束的非线性规划.本文研究了这一转化给它们的局部最优点之间所带来的一些关系.
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| 关 键 词： | 二阶最优性充分条件 等式约束 不等式约束 |
| 文章编号： | 1000-2367(2006)02-0143-04 |
| 收稿时间： | 2005-02-03 |
| 修稿时间： | 2005-10-09 |
Discussing for Some Relations between the Local Optimal Points of Two Types of Optimization Problems |
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| ZHAO Ying-xue,GAO Wen-jun.Discussing for Some Relations between the Local Optimal Points of Two Types of Optimization Problems[J].Journal of Henan Normal University(Natural Science),2006,34(2):143-146. |
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| Authors: | ZHAO Ying-xue GAO Wen-jun |
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| Institution: | 1. Mathematics Department, Jiaying University, Meizhou 514015, China;2. Basic Courses Department, Henan Vocational College of Quality Engineering,Pingdingshan 467000,China |
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| Abstract: | Utilizing slack variables, any standard type of nonlinear programming can be transformed into a class of nonlinear programming in which only the equality constraints are involved. The paper investigates on some relations posed by the transformation between the local optimal points of these two types of optimization problems. |
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| Keywords: | two-order optimality sufficient condition equality constraint inequality constraint |
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