一种线性方程组的迭代解法

An iterative solving method of the system of linear equation

利用线性代数方程组的系数矩阵 A的一个初始近似逆矩阵 P,导出求解方程组 AX=b的一种迭代方法 ,其迭代格式简单 ,确定迭代次数方便 ,能有效地控制舍入误差的影响 。

An iteration method to solving system of linear algebraic equation AX=b was presented by using of initial approximate matrix P of matrix of coefficient A for system of linear algebraic equation AX=b. The construction of iterative formula is simple. It can control effect of roundoff effectively and determine its iterative step. The method is suited to compute by computer.