Complete numerical isolation of real roots in zero-dimensional triangular systems
文献类型：期刊论文
| 作者 | Cheng, Jin-San1,2; Gao, Xiao-Shan1; Yap, Chee-Keng3,4 |
| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 44期号:7页码:768-785 |
| 关键词 | Triangular system Real zero isolation Sleeve bound Evaluation bound |
| ISSN号 | 0747-7171 |
| DOI | 10.1016/j.jsc.2008.04.017 |
| 英文摘要 | We present a complete numerical algorithm for isolating all the real zeros of a zero-dimensional triangular polynomial system F-n subset of Z[x(1) ... x(n)]. Our system F-n is general, with no further assumptions. In particular, our algorithm Successfully treats multiple zeros directly in such systems. A key idea is to introduce evaluation hounds and sleeve bounds. We also present a much more efficient algorithm for zero-dimensional triangular systems without multiple roots. We implemented Our algorithms, and promising experimental results are shown. (C) 2008 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000266058400004 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7003]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cheng, Jin-San |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Syst Sci, KLMM, Beijing 100864, Peoples R China 2.LORIA, INRIA Nancy Grand E, Nancy, France 3.NYU, Courant Inst Math Sci, New York, NY 10003 USA 4.Korea Inst Adv Study, Seoul, South Korea |
| 推荐引用方式 GB/T 7714 | Cheng, Jin-San,Gao, Xiao-Shan,Yap, Chee-Keng. Complete numerical isolation of real roots in zero-dimensional triangular systems[J]. JOURNAL OF SYMBOLIC COMPUTATION,2009,44(7):768-785. |
| APA | Cheng, Jin-San,Gao, Xiao-Shan,&Yap, Chee-Keng.(2009).Complete numerical isolation of real roots in zero-dimensional triangular systems.JOURNAL OF SYMBOLIC COMPUTATION,44(7),768-785. |
| MLA | Cheng, Jin-San,et al."Complete numerical isolation of real roots in zero-dimensional triangular systems".JOURNAL OF SYMBOLIC COMPUTATION 44.7(2009):768-785. |
入库方式： OAI收割
来源：数学与系统科学研究院
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