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分块广义对角占优矩阵的条件
王银喜
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根据块对角占优和广义块对角占优矩阵的概念，在原有点H矩阵的基础上，应用分块技术，研究给出了分块广义对角占优矩阵的一个简捷实用的充分条件和一个必要条件，推广了相应文献的结果，进一步补充和完善了块对角占优矩阵的理论。
关 键 词 对角占优; 分块对角占优; 范数; 置换矩阵
Abstract In this paper, according to the concepts of block diagonal dominance and generalize diagonal dominance, a new simple criterion for nonsingular block generalize diagonal dominant matrices (i.e. block H-matrices)are obtained by making use of the norm of submatrices of a given matrix only. Advantages are illustrated by numerical examples. And a necessary condition for nonsingular block H-matrices is also presented.These results generalize the corresponding results in this area, and make a nodest contribution to this area.
Key words diagonal dominance; block diagonal dominance; norm; permutation matrix
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