利用Maple软件求解Pell方程的最小整数解

Solving the mini-integer solution of the Pell equations by Maple

利用连分数的性质,给出了连分数与Pell方程的关系,得到求解Pell方程最小整数解的算法.运用Maple软件得到求解Pell方程最小整数解的通用程序,此通用程序解决了文献[1]的Maple解法中需要输入循环次数的问题.

By the property of continued fraction, gave the relation between thr continued fraction and Pell equation, obtained the algorithm to solve the mini-integer solution of Pell equation. According to the algorithm, gave general program of minimum-integer solution of Pell equation using Maple software. The program solves the problem that the literature need to input cycles in solution.