一个方程求根公式及其推导

A Iterative Scheme for the SoLution of Nonlinear Equation

摘要: 本文利用分式线性函数在x₀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。
- 分式线性函数 /
- 逼近 /
- 泰勒展开 /
- 方程的解 /
- 二次收敛性
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.
- fractional linear function /
- approximation /
- the solution of equation /
- Taylor expansion /
- quadratic convergence