摘要
本文定义了加速松弛迭代法的最优因子，并就具有相容次序且对角线上元素全不为零矩阵得到了最优因子的表达式，最后就本文的结论好于Ｇ．Ａｖｄｅｌａｓ＆Ａ．Ｈａｄｊｉｄｉｍｏｓ的结果给出了实例．
Abstract In this paper, a new concept of optimal factors of the accelerated overrelaxation iter-ative method for linear systems is defined. The formula of the optimal factors is obtainedfor the consistently ordered matrices whose diagonal elelnents are nonzero. Example isgiven to shOw that the results are general than that of G.Avdelas & A.Hadjidimos.Kerywords accelerated overrelation(AOR) iterative method, optimal factor, consistentlyordered matrix.
