块H-矩阵的判定及其逆的无穷大范数的上界

赵仁庆; 熊昌明; 李耀堂

赵仁庆, 熊昌明, 李耀堂. 块H-矩阵的判定及其逆的无穷大范数的上界[J]. 云南大学学报(自然科学版), 2011, 33(2): 125-130, .

引用本文:

赵仁庆, 熊昌明, 李耀堂. 块H-矩阵的判定及其逆的无穷大范数的上界[J]. 云南大学学报(自然科学版), 2011, 33(2): 125-130, .

ZHAO Ren-qing, XIONG Chang-ming, LI Yao-tang. Criteria of block H-matrix and upper bounds of the infinity norms of its inverses[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(2): 125-130, .

Citation:

ZHAO Ren-qing, XIONG Chang-ming, LI Yao-tang. Criteria of block H-matrix and upper bounds of the infinity norms of its inverses[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(2): 125-130, .

块H-矩阵的判定及其逆的无穷大范数的上界

Criteria of block H-matrix and upper bounds of the infinity norms of its inverses

摘要

摘要: 给出了块H-矩阵A的一个判定条件,并利用其获得了A的逆矩阵的无穷大范数||A-1||∞上界的一个新的估计式,数值算例表明所得结论是有效的.

Abstract: Firstly,a new sufficient condition is given for a block H-matrix and we obtain a new estimation formula of the infinity norms of inverses by using the condition.Finally,the efficiency of the results is shown by numerical examples.

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