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| 拟可微约束优化的次线性Lagrange乘子法则 | |
| 引用本文： | 宋春玲,夏尊铨,谢琳.拟可微约束优化的次线性Lagrange乘子法则[J].辽宁师范大学学报(自然科学版),2006,29(2):153-155. |
| 作者姓名： | 宋春玲 夏尊铨 谢琳 |
| 作者单位： | 1. 佛山科学技术学院,理学院,广东,佛山,528000 2. 大连理工大学,应用数学系,辽宁,大连,116024 3. 辽宁师范大学,数学学院,辽宁,大连,116029 |
| 基金项目： | 国家博士点基金资助项目（20020141013）;国家自然科学基金资助项目（10001007） |
| 摘 要： | 约束拟可微优化的Lagrange乘子型最优性条件．往往与某些特殊对象（超梯度，方向）的选取有关．这是拟可傲优化的核心问题之一，应用凸紧集与次线性函数的Minkowski对偶．利用次线性泛函产生的非线性Lagrange函数．对于具有有限个等式和不等式约束的拟可微优化，给出了一个与特殊对象选取无关的次线性的Lagrange乘子法则，推广了已有的结果． |
| 关 键 词： | 运筹学 拟可微优化 最优性条件 Lagrange乘子 次线性 |
| 文章编号： | 1000-1735(2006)02-0153-03 |
| 收稿时间： | 04 20 2005 12:00AM |
| 修稿时间： | 2005年4月20日 |
Sublinear Lagrange Rules for Quasidifferentiable Programming |
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| SONG Chun-ling,XIA Zun-quan,XIE Lin.Sublinear Lagrange Rules for Quasidifferentiable Programming[J].Journal of Liaoning Normal University(Natural Science Edition),2006,29(2):153-155. | |
| Authors: | SONG Chun-ling XIA Zun-quan XIE Lin |
| Institution: | 1. Science School, Foshan University, Foshan 528000, China;2. Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,Chinas;3. School of Mathematics, Liaoning Normal University, Dalian 116029.China |
| Abstract: | Lagrange muliplier type optimality conditions for constrained quasidifferentiable programming usually depend on the choice of special objects(super-gradient,direction,and so on),which is one of the key problems for constrained quasidifferentiable programming.In this paper,applying Minkowski duality of convex compact sets and sublinear functions,the sublinear Lagrange multiplic rule for quasidifferentiable optimization with a finite number of inequality and equality constraints are deduced by the nonlinear Lagrange function generated by a sublinear function,which improves the existing results. |
| Keywords: | quasidifferentiable optimization optimality conditions Lagrange multiplier sublinear |
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