【摘要】 本文利用多项式最大公因式 ,给出了线性方程组的反问题在 r-循环矩阵类和对称 r-循环矩阵类中有唯一解的充要条件 ,进而得到线性方程组在 r循环矩阵类和对称 r-循环矩阵类中的反问题求唯一解的算法 .最后给出了应用该算法的数值例子 .更多还原

【Abstract】 In this paper,Sufficient and necessary conditions Of existing of the unique solution of the inverse problem Of linear system of equation in the classes of r circulant matrices and symmetric r circulant matrices is presented by the largest common factor of polynomial.Fast algorithms for finding the unique solution of the inverse problem of linear system of equation in the classes of, r circulant matrices and symmetric r circulant matrices are given.Finally,numerical examples are given.更多还原