Numerical and geometric properties of a method for finding points on real solution components
文献类型：会议论文
| 作者 | Wu, Wenyuan1 ; Reid, Greg2; Feng, Yong1
|
| 出版日期 | 2014 |
| 会议日期 | July 28, 2014 - July 31, 2014 |
| 会议地点 | Shanghai, China |
| DOI | 10.1145/2631948.2631969 |
| 页码 | 111-117 |
| 英文摘要 | We consider a critical point method developed in our earlier work for finding certain solution (witness) points on real solution components of real polynomial systems of equations. The method finds points that are critical points of the distance from a plane to the component with the requirement that certain regularity conditions are satisfied. In this paper we analyze the numerical stability of the method. We aim to find at least one well conditioned witness point on each connected component by using perturbation, path tracking and projection techniques. An optimal-direction strategy and an adaptive step size control strategy for path following on high dimensional components are given. Copyright 2014 ACM. |
| 会议录 | 2014 Symposium on Symbolic-Numeric Computation, SNC 2014
 |
| 语种 | 英语 |
| 源URL | [http://119.78.100.138/handle/2HOD01W0/4741]  |
| 专题 | 自动推理与认知研究中心 中国科学院重庆绿色智能技术研究院 |
| 作者单位 | 1.Chongqing Institute of Green and Intelligent Technology, CAS, China; 2.Department of Applied Mathematics, University of Western Ontario, London, ON, Canada |
| 推荐引用方式 GB/T 7714 | Wu, Wenyuan,Reid, Greg,Feng, Yong. Numerical and geometric properties of a method for finding points on real solution components[C]. 见:. Shanghai, China. July 28, 2014 - July 31, 2014. |
入库方式： OAI收割
来源：重庆绿色智能技术研究院
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