| 机构学中的实数同伦法 |
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| 引用本文： | 张纪元.机构学中的实数同伦法[J].上海海事大学学报,1999(2). |
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| 作者姓名： | 张纪元 |
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| 作者单位： | 上海海运学院机械系 |
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| 基金项目： | 国家自然科学基金,上海市高等学校科学技术发展基金 |
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| 摘 要： | 在文献［１］的基础上，本文提出实数同伦法。该法用于在实数域内求解多项式方程组的全部孤立实零点。文中还提出偏离度等新概念。实数同伦法具有计算工作量小、求解迅速等特点。这为解决机构学中的多解问题提供了一个切实可行的方法。
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| 关 键 词： | 机构学，多项式，同伦，方程组，实数解 |
The Real Number Homotopy Method in Mechanisms |
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| Zhang Jiyuan.The Real Number Homotopy Method in Mechanisms[J].Journal of Shanghai Maritime University,1999(2). |
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| Authors: | Zhang Jiyuan |
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| Institution: | Zhang Jiyuan |
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| Abstract: | In this paper,a real number homotopy method is suggested on the basis of paper 1 .The method can be used to find all real solutions to a polynomial system in real field.A new concept,departure degree,is also put forward.The method has some characteristics,such as the need of less calculation,and the rapidness of locating the solutions.The method is very efficient to solve multiple solution problems in mechanisms. |
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| Keywords: | mechanisms polynomial homotopy system of equations real solutions |
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