| 关于用Lagrange乘数法求函数最值的充分条件 |
| |
| 引用本文： | 沈晨,宋冬梅,刘珊. 关于用Lagrange乘数法求函数最值的充分条件[J]. 河南科学, 2012, 30(1): 24-26 |
| |
| 作者姓名： | 沈晨 宋冬梅 刘珊 |
| |
| 作者单位： | 中国石油大学理学院计算与应用数学系,山东青岛266580;中国石油大学地球科学与技术学院测绘与地理信息工程系,山东青岛266580 |
| |
| 基金项目： | 基金项目：国家自然科学基金（40501073） |
| |
| 摘 要： | 对于多元函数在约束条件下的最值问题,给出了有关充分条件及其对具体问题的应用.
|
| 关 键 词： | 多元函数 最值 Lagrange乘数法 半正定阵 |
On Sufficient Condition for Solving Max/Min Problems by Means of Lagrange Method of Multipliers |
| |
| Shen Chen , Song Dongmei , Liu Shan. On Sufficient Condition for Solving Max/Min Problems by Means of Lagrange Method of Multipliers[J]. Henan Science, 2012, 30(1): 24-26 |
| |
| Authors: | Shen Chen Song Dongmei Liu Shan |
| |
| Affiliation: | 1. Department of Computational and Applied Mathematics, China University of Petroleum, Qingdao 266580, Shandong China; 2. Department of Mapping and Geographic Information Engineering, China University of Petroleum, Qingdao 266580, Shandong China) |
| |
| Abstract: | Some sufficient conditions for max/min problems with constraints were given, and the application to some concrete problem was demonstrated. |
| |
| Keywords: | function of several variables maximum and minimum Lagrange method of multipliers positive semi-definite matrix |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
