| 超越方程的诺模图求解 |
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| 引用本文： | 李奎山. 超越方程的诺模图求解[J]. 中国石油大学学报(自然科学版), 1996, 0(2) |
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| 作者姓名： | 李奎山 |
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| 作者单位： | 石油大学机械系 |
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| 摘 要： | 超越方程通常用牛顿法求解；但初始值必须在单根附近才能收敛，当初始值离根较远时则可能发散，以天体力学中的开普勒方程为例，提出用诺模图求解超越方程．它可以快速地求出较精确的初始值，以保证牛顿迭代法的收敛，同时提高迭代敛速，这一方法对于其它超越方程，同样也是有效的．
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| 关 键 词： | 超越方程；诺模图；解法 |
NOMOGRAPHY SOLUTION OF THE TRANSCEND EQUATION |
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| Li Kuishan. NOMOGRAPHY SOLUTION OF THE TRANSCEND EQUATION[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1996, 0(2) |
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| Authors: | Li Kuishan |
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| Abstract: | Transcend equations are usually soluted by Newtonian way. In order to make the equation convergenced, the initial valve must be near the single root. When the initial valve is far away from the root, the diverge will take place. Taking Kepler's equation in celestial mechanics as an example, this paper presents the solutions of the transcend equation by nomography. A more accurate initial valve was quickly obtained, which ensures the convergence of Newtonian way and improve the iterative converging speed. This way is also effective to other transcend equations. |
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| Keywords: | Transcend equation Nomography Solving process |
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