【摘要】 本文对圆盘定理进行了改进，给出了特征值分布新的估计，由此引出了弱连对角占优矩阵，讨论了其基本性质，重点分析了该类矩阵的逆与分裂特征；证明了在该类矩阵条件下H-相容分裂是收敛分裂，并给出迭代矩阵谱半径的上界及SOR算法中参数ω的选取范围．更多还原

【Abstract】 In this paper, we improve the disc theorem, and give the new estimation ofeigenvalues so that weak double diagonally dominant matrix is introduced. We discuss itsbasic properties and intensively analysis its inverse and splitting characterization, we also prove H-compatible splitting is convergent, and give the upper bound of iteration matrix’sspectral radius and the region of the parameter w in SOR algorithm.更多还原