一类不定线性方程组的新解法

New Solution to a Class of Indeterminate Linear Equations

对线性方程组Ax=b,当A为正定阵时,可用平方根法求解,将这一方法推广到一类不定方程组Ax=b,给出了算法,并进行了数值误差分析.

It is an effective method for solving linear equation Ax=b with the square root method,when A is the definite matrix.The author extended this method to a class of indeterminate equation Ax=b.It presents up not only an algorithm,but also a numerical error analysis.