Ancient Chinese algorithm: The Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method
文献类型：期刊论文
| 作者 | He JH(何吉欢) |
| 刊名 | Applied Mathematics and Mechanics (English Edition)
 |
| 出版日期 | 2002 |
| 卷号 | 23期号:12页码:1407-1412 |
| 关键词 | Ancient Chinese Mathematics Jiuzhang Suanshu (Nine Chapters) Newton Iteration Method Duffing Equation |
| ISSN号 | 0253-4827 |
| 通讯作者 | He, JH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China. |
| 中文摘要 | Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated. |
| 类目[WOS] | Mathematics, Applied ; Mechanics |
| 研究领域[WOS] | Mathematics ; Mechanics |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000181257000005 |
| 公开日期 | 2009-08-03 ; 2010-06-13 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/33657]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | He JH. Ancient Chinese algorithm: The Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method[J]. Applied Mathematics and Mechanics (English Edition),2002,23(12):1407-1412. |
| APA | 何吉欢.(2002).Ancient Chinese algorithm: The Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method.Applied Mathematics and Mechanics (English Edition),23(12),1407-1412. |
| MLA | 何吉欢."Ancient Chinese algorithm: The Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method".Applied Mathematics and Mechanics (English Edition) 23.12(2002):1407-1412. |
入库方式： OAI收割
来源：力学研究所
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