电线跨度中三次方程的计算方法 |
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引用本文: | 田伶改,张志海.电线跨度中三次方程的计算方法[J].河北工程大学学报,1996(4). |
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作者姓名: | 田伶改 张志海 |
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摘 要: | 在电线跨度的计算中常会遇到实系数三次方程求根问题,通常是先求一个实根,然后从方程中去掉一个因子,得到一个二次因子,再用求根公式求二个共轭复根或两个实根。本文提出一种直接求二次因子的迭代方法。还给出这种迭代方法一个可以简单地直接验证的收敛性定理。
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关 键 词: | 牛顿迭代,收敛速度,二次收敛速度 |
The Third Equation Calculation Method of the Cable Span |
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Authors: | Tian Linggai Zhang Zhihai |
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Affiliation: | Tian Linggai; Zhang Zhihai |
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Abstract: | We. often meet with real number third equation and root finding in cable span calculation,the normal practice is to find a real root,then eliminate a factor from the equation,obtaining a second factor,again,use the finding loot formula to find two conjugate complex roots or two real roots,This paper put forward an iteration method of finding second factor,also gives a convergent theorem which can simply demonstrate the iteration method. |
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Keywords: | newton iteration convergent speed second convergent speed |
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