摘要
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.在系数矩阵A为2-循环系数矩阵且相应的Jacobi迭代矩阵的特征值为实数或纯虚数时对称MSOR法收敛的充分必要条件,并举例说明所得结果的优点.
The symmetric MSOR iterative method for solving linear systems of AX=b is discussed where A is a 2-cyclic coefficient matrices.The necessary and sufficient condition for the convergence of the symmetric MSOR method was given for solving the linear system AX=b with 2-cyclic coefficient matrices when the characteristics of the Jacobi iteration matrix is real number or purely imaginary.And the advantages of the results were illustrated by example.
出处
《纺织高校基础科学学报》
CAS
2011年第4期549-553,共5页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(60671063)
