【摘要】 引入了一类块对角占优矩阵的概念,在原有点H矩阵判定的基础上,应用分块技术,通过构造性证明对块对角占优矩阵进行了讨论,给出了非奇块H矩阵的一个简捷实用判据,推广了相应文献的结果,进一步补充和完善块对角占优矩阵的理论。更多还原

【Abstract】 First, we introduce the concept of a kind of block diagonally dominant matrices, and then on the basis of original pointwise H-matrices, we discuss block diagonally dominant matrices by using block matrix technology and certifying structurally. Finally, two simple criteria for nonsingular block H-matrices are given entirely. Result obtained improves results in the known corresponding references.更多还原