| 秦九韶“正负开方术”是二阶收敛的 |
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| 引用本文： | 杨合俊. 秦九韶“正负开方术”是二阶收敛的[J]. 数学的实践与认识, 2011, 41(1) |
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| 作者姓名： | 杨合俊 |
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| 作者单位： | 长安大学理学院,陕西西安,710064 |
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| 摘 要： | 研究秦九韶"正负开方术"的收敛速度.采用分析算法的几何意义、使用这一算法求解具体的高次方程以及数学证明的方法.发现秦九韶法与牛顿切线法类似.秦九韶正负开方术是二阶收敛的.
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| 关 键 词： | 秦九韶 正负开方术 切线法 二阶收敛 |
Qin Jiushao's Zheng-Fu Method For the Extraction of Roots is The Second Order Convergence |
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| YANG He-jun. Qin Jiushao's Zheng-Fu Method For the Extraction of Roots is The Second Order Convergence[J]. Mathematics in Practice and Theory, 2011, 41(1) |
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| Authors: | YANG He-jun |
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| Abstract: | Aim:To study the convergence rate of Qin Jiushao's Zheng-Fu method for the extraction of roots.Methods:Analysis the geometric meaning of the algorithms.Use this algorithm to solve the high- equation.And mathematical proof.Results:Found Qin Jiushao' s Method is similar as Newton's method.Conclusion Qin Jiushao' s Zheng-Fu Method for the extraction of roots is the second order convergence. |
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| Keywords: | Qin Jiushao Zheng-Pu method for the extraction of roots Newton's method the second order convergence |
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