| 内点算法和动力系统 |
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| 引用本文： | 刁在筠.内点算法和动力系统[J].系统科学与数学,1997,17(4):367-371. |
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| 作者姓名： | 刁在筠 |
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| 作者单位： | 山东大学数学系 济南，250100 |
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| 摘 要： | 本文以动力系统的理论统一处理各种解线性规划的内点算法.在一般情况下讨论了此类系统的构成和基本的附加条件.对轨线的几何特征,尤其是它们在靠近边界处的动态作了进一步研究.
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| 关 键 词： | 内点算法 动力系统 线性规划 轨线 |
INTERIOR POINT ALGORITHM AND DYNAMIC SYSTEM |
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| Diao Zaiyun.INTERIOR POINT ALGORITHM AND DYNAMIC SYSTEM[J].Journal of Systems Science and Mathematical Sciences,1997,17(4):367-371. |
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| Authors: | Diao Zaiyun |
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| Institution: | Dapartment of Mathematics, Shandong University, Jinan 250100) |
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| Abstract: | In this paper by using the dynamic system theory a unified viewpoint for handling a variety of interior point algorithms in solving LP is presented. In a general situation the form of such a system and the basic conditions to be imposed are discussed. The geometrical features of the trajectories are investigated. |
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| Keywords: | Interior point algorithm dynamic system linear programming trajectory |
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