线性代数方程组的一种迭代解法

An lterative Solving Method of the System of Linear Algebraic Equation

本文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,适合于在计算机上计算.

In this paper, we present an iteration method to solving system of * linear algebraic equation AX = b to make use of initial approximate matrix P of matrix of coefficient for system of linear algebraic equation AX = b.The construction of iterative formula is simple.It can control effect of round-off effectively and determine its iterative step.The method is suited to compute by computer.