丢番图方程在数值逼近中的应用

The Applance of Diophantine Equation in Cubic Root Numeric Approach

到现在,立方根的求解并没有一个快速的方法.应用数论的方法,证明了一个关于立方根的最佳逼近定理,得到了立方根的最佳逼近序列,从而给出了一种计算立方根的快速方法,解决了求解立方根的难题.

Today, the quick approximation of the solution of cube root has not be given. With the method of theory of number, the quick approximation theorem of cube root was proved , the sequence of optimal approximation of cube root was given. They are the complete cubic Pell’s sequence and the quick approximation of cube root, a difficult problem about cube root is settled .