| 求多面体锥与凸多面体间的最短距离的一个有限算法 |
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| 引用本文： | 李若柔.求多面体锥与凸多面体间的最短距离的一个有限算法[J].广西大学学报(自然科学版),1987(2). |
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| 作者姓名： | 李若柔 |
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| 作者单位： | 北京师范学院 |
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| 摘 要： | 在文献1]中,给出了计算多面体锥与凸多面体问的最短距离的一个方法,但不能保证在有限步内求得最短距离。本文给出了一个与文献1]的条件等价的充要条件,在此基础上提出一个在有限步内求得最短距离的算法。
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| 关 键 词： | 多面体锥 凸多面体 最短距离的充要条件 有限算法 |
A Finite Algorithm for Finding the Shortest Distance between a Polyhedral Cond and a Convex Polyhedron |
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| Li Ruo Rou.A Finite Algorithm for Finding the Shortest Distance between a Polyhedral Cond and a Convex Polyhedron[J].Journal of Guangxi University(Natural Science Edition),1987(2). |
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| Authors: | Li Ruo Rou |
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| Abstract: | A method to calculate the shortest distance between a polyhedral cone and a convex polyhedron is given inl],however,its finite convergence is not generally guaranteed. This paper presents a necessary and Sufficient condition for the above shortest distance which is equivalent to the one ofl], and by our condition, a finite algorithm for finding the Shortest distance is given. |
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| Keywords: | Polyhedral cone Convex polyhedron Necessary and sufficient Condition for the shorstet distance Finite algorithm |
| 本文献已被 CNKI 等数据库收录！ |
