| Levels of multi-continued fraction expansion of multi-formal laurent series | |
| Dai, Zongduo; Wang, Ping | |
| 刊名 | Finite fields and their applications
 |
| 2008-04-01 | |
| 卷号 | 14期号:2页码:438-455 |
| 关键词 | Level of m-continued fraction expansion M-cfa Multi-formal laurent series |
| ISSN号 | 1071-5797 |
| DOI | 10.1016/j.ffa.2007.04.003 |
| 通讯作者 | Wang, ping(wangping@gucas.ac.cn) |
| 英文摘要 | The multi-continued fraction expansion c((r) under bar) of a multi-formal laurent series (r) under bar is a sequence pair ((h) under bar, (a) under bar) consisting of an index sequence (h) under bar and a multi-polynomial sequence (a) under bar. we denote the set of the different indices appearing infinitely many times in (h) under bar by h(infinity), the set of the different indices appearing in (h) under bar by h(+), and call vertical bar h(infinity)vertical bar and vertical bar h(+)vertical bar the first and second. levels of c((r) under bar), respectively. in this paper, it is shown how the dimension and basis of the linear space over f(z) (f) spanned by the components of r are determined by h(infinity) (h(+)), and how the components are linearly dependent on the mentioned basis. (c) 2007 elsevier inc. all rights reserved. |
| WOS关键词 | JACOBI-PERRON ALGORITHM ; B-M ALGORITHM ; EXPONENTIAL CONVERGENCE ; APPROXIMATION ; SEQUENCES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000255329100011 |
| 内容类型 | 期刊论文 |
| URI标识 | http://www.corc.org.cn/handle/1471x/2385432 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Wang, Ping |
| 作者单位 | Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Zongduo,Wang, Ping. Levels of multi-continued fraction expansion of multi-formal laurent series[J]. Finite fields and their applications,2008,14(2):438-455. |
| APA | Dai, Zongduo,&Wang, Ping.(2008).Levels of multi-continued fraction expansion of multi-formal laurent series.Finite fields and their applications,14(2),438-455. |
| MLA | Dai, Zongduo,et al."Levels of multi-continued fraction expansion of multi-formal laurent series".Finite fields and their applications 14.2(2008):438-455. |
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