H-矩阵的块预条件AOR迭代法的收敛性定理
首发时间:2012-11-19
摘要:利用预条件技术考虑了解线性方程组的块预条件AOR迭代法. 当系数矩阵A是H-矩阵时,给出了该方法的收敛性. 从理论上证明了当A是M-矩阵时提出的块预条件迭代法是优于经典的方法的.
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Covergence Theorems of Block Preconditioning AOR Iterative Method on H-Matrix Linear Systems
Abstract:For linear equations Ax=b, we present a block preconditioned AOR iterative method. When the coefficient matrix A is an H- matrix, we give the convergence of the considered method, Theoretically prove that block preconditioned iterative method is superior to the classical method when A is an M- matrix.
Keywords: H- matrix block AOR iterative method the preconditioning matrix convergence
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