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μj均为实数的条件下,得出了USSOR迭代法收敛的充分必要性定理,并给出了USSOR迭代矩阵之谱半径ρ(ω,ω)的表达式及ρ(ω,ω)的最佳松弛因子。
In this paper, the necessary and sufficient theorem for the convergence of USSOR iterativemethod is given under the condition that linear equation system matrix A is consistently orderedand the eigenvalues of the Jacobi matrix of A are all real. And we give the expression and theoptimum relaxation parameter of the spectral radius ρ(ω,ω) of USSOR iterative matrix.
出处
《应用数学与计算数学学报》
2001年第1期67-68,共2页
Communication on Applied Mathematics and Computation
基金
华侨大学科研项目资助
