Solving parametric polynomial systems by RealComprehensiveTriangularize
文献类型：会议论文
| 作者 | Chen, Changbo1; Maza, Marc Moreno2 |
| 出版日期 | 2014 |
| 会议日期 | August 5, 2014 - August 9, 2014 |
| 会议地点 | Seoul, Korea, Republic of |
| DOI | 10.1007/978-3-662-44199-2_76 |
| 页码 | 504-511 |
| 英文摘要 | In the authors' previous work, the concept of comprehensive triangular decomposition of parametric semi-algebraic systems (RCTD for short) was introduced. For a given parametric semi-algebraic system, say S, an RCTD partitions the parametric space into disjoint semi-algebraic sets, above each of which the real solutions of S are described by a finite family of triangular systems. Such a decomposition permits to easily count the number of distinct real solutions depending on different parameter values as well as to conveniently describe the real solutions as continuous functions of the parameters. In this paper, we present the implementation of RCTD in the RegularChains library, namely the RealComprehensiveTriangularize command. The use of RCTD is illustrated by the stability analysis of several biological systems. © 2014 Springer-Verlag. |
| 会议录 | 4th International Congress on Mathematical Software, ICMS 2014
 |
| 语种 | 英语 |
| 电子版国际标准刊号 | 16113349 |
| ISSN号 | 03029743 |
| 源URL | [http://119.78.100.138/handle/2HOD01W0/4770]  |
| 专题 | 自动推理与认知研究中心 |
| 作者单位 | 1.Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, China; 2.ORCCA, University of Western Ontario, Canada |
| 推荐引用方式 GB/T 7714 | Chen, Changbo,Maza, Marc Moreno. Solving parametric polynomial systems by RealComprehensiveTriangularize[C]. 见:. Seoul, Korea, Republic of. August 5, 2014 - August 9, 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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