摘要
给定线性方程组Ax=b,A为给定的正定对称N×N(N≥4)阶矩阵,其Jacobi“迭代矩阵B为 本文给出这类矩阵的SAOR方法的第m次迭代显式误差估计,即用‖δ^(m)‖,‖δ^(m-1)‖I及(δ^(m),δ^(m+1)估计误差:‖δ^(m)‖其中,δ^(m)=x-x^(m),δ^(m)=x(m)-x^(m-1),这里x为精确解,x^(m)为第m次迭代值。
Supposing a linear equation group Ax = b, A is given positive symmetrix exponent metrix N×N(N≥4 ) , Jacobi interative matrix B can be represented
in formula B = · This paper gives the iterative explicit error estima-
tion of degree m,that is,the error and(δ(m),δ(m+1). Here, ε(m) = x-x(m), δ(m) = x( m) -x(m-1), X is exact solution and x(m)is iterative value of degree m.
出处
《信阳师范学院学报(自然科学版)》
CAS
1991年第2期141-146,共6页
Journal of Xinyang Normal University(Natural Science Edition)