摘要
本文在线性方程组系数矩阵A为相容次序矩阵及A的Jacobi迭代矩阵的特征值μ_j均为实数且μ_j^2<1的条件下,得出了PSD迭代法收敛的充分必要性定理,并由此而得到了一个易于判别的PSD法收敛性定理。
In this paper, the necessary and sufficient theorem for the convergence of PSD iterative method is given under the condition that the coefficient matrix A of the linear systems is consistently ordered and the eigenvalues of the converged Jacobi iterative matrix of A are all real.
出处
《应用数学与计算数学学报》
1999年第1期11-20,共10页
Communication on Applied Mathematics and Computation
