双严格积γ-链对角占优矩阵的简洁判据

The simple criteria for double strict product γ-chain diagonally dominant matrix

H-矩阵是一类有着广泛应用背景的矩阵,它包含很多子类,学者们为发现H-矩阵的子类做了大量的研究。本文在前人工作的基础上,继续研究H-矩阵的子类—双严格积γ-链对角占优矩阵,给出了三个判断H-矩阵的判定定理,并且这些定理中的条件只与矩阵的元素有关,计算起来较为方便。

H- Matrix is a kind of matrix has a wide application background, It contains many sub categories, Scholars have done a lot of research to find a subclass of H- matrix. In this paper, on the basis of previous work, To study a subclass of H- matrix-double strict product γ- chain diagonally dominant matrix, given three theorem of judgment H- matrix, And these conditions in theorem only with Only with the matrix elements, The calculation is more convenient.