2-循环系数矩阵对称MSOR法最优参数估计

The optimum parameters of the convergence of the symmetric MSOR for 2-cyclic coefficient matrices

讨论了A为2-循环系数矩阵的线性方程组AX=b的对称MSOR迭代求解问题.在线性方程组AX=b的系数矩阵为2-循环系数矩阵且Jacobi迭代矩阵的特征值都是实数或纯虚数的情况下,估计对称MSOR方法的最优参数,且举例说明所得的结果.

The symmetric MSOR iterative method for solving linear systems of AX = b is discussed where A is a 2-cyclic coefficient matrices. The optimum parameters of the symmetric MSOR method was given for solving the linear system AX=b with 2-cyclic coefficient matrices when the characteristics of the Ja- cobi iteration matrix is real number or purely imaginary. And the results was illustrated by example.