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| 有界凸多面体的顶点与线性不等式组解之间的关系 | |
| 引用本文： | 雍龙泉. 有界凸多面体的顶点与线性不等式组解之间的关系[J]. 科学技术与工程, 2007, 7(24): 6391-63926400 |
| 作者姓名： | 雍龙泉 |
| 作者单位： | 陕西理工学院数学系,汉中,723001 |
| 基金项目： | 陕西理工学院科研基金(SLGQD0517)项目资助 |
| 摘 要： | 利用凸集表示定理,给出了有界凸多面体的顶点与其对应线性不等式组解之间的关系,间接地获得了不等式组的解。 |
| 关 键 词： | 有界凸多面体 不等式组 凸集表示定理 |
| 文章编号： | 1671-1819(2007)24-6391-03 |
| 收稿时间： | 2007-08-28 |
| 修稿时间： | 2007-08-28 |
Relations between Bounded Convex Polyhedron and Solutions to Linear Inequalities |
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| YONG Long-quan. Relations between Bounded Convex Polyhedron and Solutions to Linear Inequalities[J]. Science Technology and Engineering, 2007, 7(24): 6391-63926400 | |
| Authors: | YONG Long-quan |
| Abstract: | The relations between bounded polyhedron and solutions to linear inequalities are presented under the idea of representation theorem to convex set. Meanwhile, the solutions to linear inequalities are obtained. |
| Keywords: | bounded convex polyhedron linear inequalities representation theorem to convex set |
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