Effective algorithms for computing triangular operator in Schubert calculus
文献类型：期刊论文
| 作者 | Zhang Kai3; Zhang Jiachuan3; Duan Haibao2; Li Jingzhi1 |
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 2015 |
| 卷号 | 10期号:1页码:221-237 |
| 关键词 | Triangular operator Schubert calculus parallel algorithm central binomial coefficient |
| ISSN号 | 1673-3452 |
| 其他题名 | Effective algorithms for computing triangular operator in Schubert calculus |
| 英文摘要 | We develop two parallel algorithms progressively based on C++ to compute a triangle operator problem, which plays an important role in the study of Schubert calculus. We also analyse the computational complexity of each algorithm by using combinatorial quantities, such as the Catalan number, the Motzkin number, and the central binomial coefficients. The accuracy and efficiency of our algorithms have been justified by numerical experiments. |
| 资助项目 | [National Natural Science Foundation of China] ; [973 Program] ; [Open Project Program of the State Key Lab of CAD&CG of Zhejiang University] ; [Scientific Research Foundation for Returned Scholars, Ministry of Education of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5401973 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52873]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.South University Sci & Technol China, Fac Sci, Shenzhen 518055, Peoples R China 2.中国科学院数学与系统科学研究院 3.吉林大学 |
| 推荐引用方式 GB/T 7714 | Zhang Kai,Zhang Jiachuan,Duan Haibao,et al. Effective algorithms for computing triangular operator in Schubert calculus[J]. FRONTIERS OF MATHEMATICS IN CHINA,2015,10(1):221-237. |
| APA | Zhang Kai,Zhang Jiachuan,Duan Haibao,&Li Jingzhi.(2015).Effective algorithms for computing triangular operator in Schubert calculus.FRONTIERS OF MATHEMATICS IN CHINA,10(1),221-237. |
| MLA | Zhang Kai,et al."Effective algorithms for computing triangular operator in Schubert calculus".FRONTIERS OF MATHEMATICS IN CHINA 10.1(2015):221-237. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。