广义α_1对角占优矩阵的判定准则

Criteria for Generalized α_1 Diagonally Dominant Matrices

广义α1对角占优矩阵在数学、系统理论、弹性力学等诸多领域有着广泛的应用,但若是想判定一个矩阵是否是广义α1对角占优矩阵却是比较困难.利用构造的方法,通过对矩阵行标做划分,给出了判定广义α1对角占优矩阵的简洁方法.

Generalized α1 diagonally dominant matrices are widely used in mathematics , systems theory , elasticity mechanics and other fields ,but it is difficult to determine whether a matrix is a Generalized α1 diagonally dominant matrices .This paper presents a simple method to determine generalized α1 diagonally dominant matrices .