| 一个方程求根公式及其推导 |
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| 引用本文： | 王运通. 一个方程求根公式及其推导[J]. 北京科技大学学报, 1987, 0(1) |
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| 作者姓名： | 王运通 |
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| 作者单位： | 北京钢铁学院数力系 |
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| 摘 要： | 本文利用分式线性函数在x_0处近似f(x)而导出一种求方程f(x)=0的根的迭代公式,它的变形包括Hally方法,在一定的条件下证明了二阶收敛性。
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| 关 键 词： | 分式线性函数 逼近 泰勒展开 方程的解 二次收敛性 |
A Iterative Scheme for the SoLution of Nonlinear Equation |
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| Wang Yuntong. A Iterative Scheme for the SoLution of Nonlinear Equation[J]. Journal of University of Science and Technology Beijing, 1987, 0(1) |
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| Authors: | Wang Yuntong |
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| Affiliation: | Wang Yuntong |
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| Abstract: | Using fractional linear function ( also called pseudolinear function ) to approximate a function f ( x ) at a specific point Xo, a iteration scheme for the solution of equation f (x) = 0 is developed the variant of the method includes the well-known Hally method. Under the appropriate condition the quadratie convergence is proved. |
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| Keywords: | fractional linear function approximation the solution of equation Taylor expansion quadratic convergence |
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