用反函数多项式展开法求解高次超越方程

本用反函数多项式展开法导一组求解高次方程或超越方程的计算公式。这组公式包括了牛顿－拉夫森求根公式以及其它一我具有更高精度的求根公式。采用这些高精度的计算公式解方程，常常无须迭代计算即可一步得到理想的结果。这对于不便于迭代计算的方程的求解有较大的应用意义。

Solving Higher-degree or Transcendental Equations by Expanding the Inverse Functions in Multinomial Forms

By the method of expanding the inverse functions in multinomial forms,this article deduces a series of formulas for solving higher-degree or transcendental equations. These formulas include Newton-Raphson equation and other more accurate equations, by which we can often get high accuracy roots at a single step without iteration process. Thus they can be applied to solve a lot of equations which is inconvenient for iteration computation.