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| Ancient Chinese algorithm: The Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method | |
| He JH(何吉欢); He, JH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China. | |
| Source Publication | Applied Mathematics and Mechanics (English Edition)
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| 2002 | |
| Volume | 23Issue:12Pages:1407-1412 |
| ISSN | 0253-4827 |
| Abstract | 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. |
| Keyword | Ancient Chinese Mathematics Jiuzhang Suanshu (Nine Chapters) Newton Iteration Method Duffing Equation |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000181257000005 |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/33657 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | He, JH (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | He JH,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,&He, JH .(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,et al."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. |
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| File Name/Size | DocType | Version | Access | License | ||
| E32.pdf（332KB） | 开放获取 | -- | View Download | |||
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