线性代数方程组的非定常二级多分裂迭代法
Non stationary two stage multisplitting iterative methods for the parallel solving systems of linear
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摘要: 本文提出了并行求解线性代数方程组的非定常二级多分裂迭代法（ Ｎ Ｓ Ｔ Ｓ Ｍ 方法），给出了对任意ｓ（ｉ）≥１，ｉ＝ １，２，．．．该方法均收敛的关于分裂的条件，进一步研究了系统矩阵为 Ｈ 矩阵时（此时不要求是单调的）该方法的收敛性Abstract: Non stationary two stage multisplitting iterative method for the parallel solutions of systems of linear algebraic equations (we take it NSTSM method in brief)is proposed.Conditions on the splitting are given so that the method is convergent for any s(i)≥1,i=1,2,....Convergence is further studied for splitting of H matrices,which are not necessarily monotonous.
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