文件名称:JOR
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基于双严格对角占优的概念,针对线性方程组在求解时常用的JOR迭代方法,给出了JOR迭代矩阵
谱半径新的上界及迭代法的收敛性准则,不仅适用于严格对角占优矩阵,还适用于双严格对角占优矩阵类,对相
应迭代阵谱半径的估计更精确且扩大了JOR方法收敛参数的选取范围,并用数值例子说明了所给结果的优越性。-Based on dual-strictly diagonally dominant concept for solving linear equations often used in the JOR iterative method is given JOR iterative matrix spectral radius and the upper bound of the new iteration of the convergence criteria, applicable not only to strictly diagonally dominant matrix, also applies to dual-strictly diagonally dominant matrices, the corresponding iterative matrix spectral radius estimates and more accurate convergence of the expansion of the JOR method of selection parameters, and numerical examples to illustrate the results of the superiority.
谱半径新的上界及迭代法的收敛性准则,不仅适用于严格对角占优矩阵,还适用于双严格对角占优矩阵类,对相
应迭代阵谱半径的估计更精确且扩大了JOR方法收敛参数的选取范围,并用数值例子说明了所给结果的优越性。-Based on dual-strictly diagonally dominant concept for solving linear equations often used in the JOR iterative method is given JOR iterative matrix spectral radius and the upper bound of the new iteration of the convergence criteria, applicable not only to strictly diagonally dominant matrix, also applies to dual-strictly diagonally dominant matrices, the corresponding iterative matrix spectral radius estimates and more accurate convergence of the expansion of the JOR method of selection parameters, and numerical examples to illustrate the results of the superiority.
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JOR迭代法的收敛性.pdf