线性方程组的一种新解法

NEW SOLUTION TO LINEAR COUPLED EQUATION

从ｎ元一次ｎ个方程中任取ｎ－１个方程，用高斯法转换成一个二元一次方程，求其整数解后可使原方程组的所有未知数用一个整参数表示出来，再代入剩余的一个方程求出这个参数，整个过程都是整数运算且只用一次除法，减少了因多次除法运算的误差积累，提高了方程组解的精度。

The theory of integer solution of indeterminate equation is a new method to improve the solution's precision of a linear coupled equation. Choose any (n-1) equations from (n) equatinos of n th degree, convert it into a guantity equation of single unknown guantity with Gecss method and solve for the integer solution that all the unknown quantity could be exressed by one integer factor. Substitute this factor into the other equation and find the solution. Since during the process only integer is used and only one division is used, the round off accumulation due to many time division is reduced, thus solution precision of the coupled equation could be improved.