An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials
文献类型:期刊论文
| 作者 | Huang, Qiaolong |
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
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| 出版日期 | 2018-04-01 |
| 卷号 | 31期号:2页码:539-551 |
| 关键词 | Ben-Or and Tiwari's algorithm early termination algorithm recursive sparse interpolation |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-017-6143-3 |
| 英文摘要 | This paper presents an improved early termination algorithm for sparse black box multivariate polynomials, which reduces the interpolation problem into several sub-interpolation problems with less variables and fewer terms. Actually, all interpolations are eventually reduced to the interpolation of a list of polynomials with less terms than that of the original polynomial. Extensive experiments show that the new algorithm is much faster than the original algorithm. |
| 语种 | 英语 |
| WOS记录号 | WOS:000427907200013 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29827] ![]() |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, Qiaolong |
| 作者单位 | Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Qiaolong. An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2018,31(2):539-551. |
| APA | Huang, Qiaolong.(2018).An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,31(2),539-551. |
| MLA | Huang, Qiaolong."An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 31.2(2018):539-551. |
入库方式: OAI收割
来源:数学与系统科学研究院
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