| 题名 | Effective algorithms for computing triangular operator in Schubert calculus |
| 作者 | |
| 通讯作者 | Zhang, Kai |
| 发表日期 | 2015-02
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| DOI | |
| 发表期刊 | |
| ISSN | 1673-3452
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| EISSN | 1673-3576
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| 卷号 | 10期号:1页码:221-237 |
| 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. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 其他
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| 资助项目 | Open Project Program of the State Key Lab of CAD&CG of Zhejiang University[A1302]
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics
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| WOS记录号 | WOS:000346165300012
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| 出版者 | |
| 来源库 | Web of Science
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| 引用统计 |
被引频次[WOS]：1
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| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/30044 |
| 专题 | 南方科技大学 理学院_数学系 |
| 作者单位 | 1.Jilin Univ, Dept Math, Changchun 130023, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 3.South Univ Sci & Technol China, Fac Sci, Shenzhen 518055, Peoples R China |
| 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.
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| 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.
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| MLA |
Zhang, Kai,et al."Effective algorithms for computing triangular operator in Schubert calculus".Frontiers of Mathematics in China 10.1(2015):221-237.
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| 条目包含的文件 | ||||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
| zhang2014 (1).pdf（353KB） | -- | -- | 限制开放 | -- | ||
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