根据不可约对角占优、具非零元素链对角占优与广义对角占优矩阵等概念,利用比较矩阵,研究了广义对角占优矩阵的判定, 用简捷的方法,给出了新的判定定理。推广了相应文献的结果,进一步补充和完善了对角占优矩阵的理论。关 键 词 非奇H矩阵; 对角占优矩阵; 非零元素链; 不可约Abstract According to irreducible diagonal dominance, nonzero chains-type diagonal dominance and generalized diagonal dominance etc. By use of the concept of comparison matrix, criteria for generalized diagonally dominant matrices are investigated. New criteria are presented. Some results in literature are generalized.Key words nonsingular H-matrix; diagonal dominance matrix; nonzero elements chain; irreducible matrix