摘要
本文是在求解大型线性方程组Ax=b的系数矩阵A为(1,1)相容次序矩阵且其Jacobi迭代矩阵的特征值均为纯虚数或零的条件下,得到PSD迭代法收敛的充分必要性定理,并在特殊情况下得到了相应的最优参数.
In this paper,a sufficient and necessary condition for convergence of the method is achieved, when the coefficient matrix is consistently ordered with nonvanishing diagonal elements and the eigenvalues of the matrix of are pure imaginary or zero. The optimal parameters are obtained under the special conditions.
出处
《应用数学与计算数学学报》
2007年第1期34-40,共7页
Communication on Applied Mathematics and Computation
基金
全国统计科学研究项目(2006C39).
关键词
PSD
收敛性
充分必要性
PSD method, convergence, necessity and sufficiency, optimal parameter
