Cylindrical algebraic decomposition in the RegularChains library
文献类型：会议论文
| 作者 | Chen, Changbo1; Moreno Maza, Marc2 |
| 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_65 |
| 页码 | 425-433 |
| 英文摘要 | Cylindrical algebraic decomposition (CAD) is a fundamental tool in computational real algebraic geometry and has been implemented in several software. While existing implementations are all based on Collins' projection-lifting scheme and its subsequent ameliorations, the implementation of CAD in the RegularChains library is based on triangular decomposition of polynomial systems and real root isolation of regular chains. The function in the RegularChains library for computing CAD is called CylindricalAlgebraicDecompose. In this paper, we illustrate by examples the functionality, the underlying theory and algorithm, as well the implementation techniques of CylindricalAlgebraicDecompose. An application of it is also provided. © 2014 Springer-Verlag. |
| 会议录 | 4th International Congress on Mathematical Software, ICMS 2014
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| 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/2HOD01W0/4780]  |
| 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,Moreno Maza, Marc. Cylindrical algebraic decomposition in the RegularChains library[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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