| 用齐次同伦函数求多项式方程组的所有解 |
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| 引用本文： | 隋亚莉.用齐次同伦函数求多项式方程组的所有解[J].青岛科技大学学报,1998(4). |
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| 作者姓名： | 隋亚莉 |
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| 作者单位： | 中国煤炭经济学院经济信息系 |
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| 摘 要： | 给出求解多项式方程组所有解的一种新方法。通过变换同伦函数的方法构造出一种齐次同伦函数，把原先在Ｃｎ×［０，１）上跟踪同伦曲线换成在ＣＰｎ×［０，１）上跟踪同伦曲线，改善了对于跑向无穷远点的同伦曲线的跟踪，改进了文献［１］和［２］提出的算法。文中最后给出一计算实例。
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| 关 键 词： | 多项式方程组 齐次同伦函数 跟踪曲线 |
Finding All Solutions to Polynomial Systems with Homogeneous Homotopy Function |
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| Sui Yali.Finding All Solutions to Polynomial Systems with Homogeneous Homotopy Function[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,1998(4). |
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| Authors: | Sui Yali |
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| Abstract: | A new method is given to find all solutions to polynomial systems. The method constructs a homogeneous homotopy function by means of transformation to a homotopy function. The following homotopy curve on CP n× substitutes for that on C n×, improving the following homotopy curve tending towards the infinite point, In conclusion, a computational example is presented. |
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| Keywords: | homogeneous homotopy function homotopy curve polynomial system |
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