摘要
当A为实对称矩阵时,[1]中在Di选取较特殊的条件下,证明了GAOR迭代法收敛的充要条件为A是正定矩阵. 设A为Hermite矩阵,进一步讨论GAOR迭代法收敛的充要条件. 以下记 B=D1-1(CL+CU).
In [1] the generalized accelerated overrelaxation (GAOR) methods were proposed, whichgeneralized the basic iterative methods for the solution of linear systems. This paper investiga-tes the convergence of the GAOR methods. A number of new results are presented concern-ing the convergence theory of the GAOR methods and their special cases. Much attention isgiven to linear systems whose coefficient matrices are positive definite, and are L-matrices andH-matrices, respectively.
出处
《计算数学》
CSCD
北大核心
1989年第4期405-412,共8页
Mathematica Numerica Sinica