【摘要】 广义严格对角占优矩阵在计算数学、数学物理、控制论等众多领域有着广泛而重要的应用.但实际判断一个矩阵是否为广义严格对角占优矩阵却是困难的.本文利用α-对角占优矩阵的性质,给出了广义严格对角占优矩阵的几个判定条件,扩大了判别范围.更多还原

【Abstract】 Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics,mathematical physics,theory of dynamical systems etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper,by using the properties of α-diagonally dominant matrix,we obtained some determinant conditions for generalized strictly diagonally dominant matrix,which enlarge the identification range.更多还原