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严格对角占优M-矩阵A的‖A^(-1)‖_∞的上界 被引量：6

Upper Bounds for‖A^(-1)‖_∞ of Strictly Diagonally Dominant M-Matrix A
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摘要 针对严格对角占优M-矩阵A的‖A^(-1)‖_∞的估计问题,利用矩阵A的元素构造迭代格式,给出A^(-1)的元素的单调不增的上界序列,进而利用这些上界序列给出‖A^(-1)‖_∞的单调不增的、收敛的上界序列.理论证明及数值算例均表明所得估计改进了目前一些已有结果. For the estimates of ‖A^-1‖∞ of a strictly diagonally dominant M-matrix A,several monotone non-increasing sequences for the upper bounds of the elements of A^-1 were given by constructing iterative format with the entries of matrix A.Thus,a sequence for the upper bounds of‖A^-1‖∞ was obtained with the aid of the upper bounds of the elements of A^（-1）.It is proved that the sequence is monotone non-increasing with a lower bound ‖A^-1‖∞ and,consequently,the sequence is convergent.The given numerical example shows that these bounds improve several existing results.
作者 赵建兴 桑彩丽
机构地区 贵州民族大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2016年第1期54-60,共7页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11361074 11501141) 贵州省科学技术基金(批准号:黔科合J字[2015]2073号) 贵州民族大学引进人才科研项目基金(批准号:15XRY003) 贵州民族大学科研项目基金(批准号:15XJS009)
关键词 对角占优 M-矩阵 逆 上界 序列 diagonally dominant M-matrix inverse upper bound sequence
分类号 O241.7 [理学—计算数学]
  • 相关文献

参考文献10

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二级参考文献12

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共引文献19

同被引文献24

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  • 5YANG Zhanshan,ZHENG Bing, LIU Xilan. A new upper bound for || A-l || oo of a strictly a-diagonally domi-nant M-matrix [J]. Adv Numer Anal, 2013,2013 : 1-6.
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二级引证文献7

吉林大学学报（理学版）
2016年 第1期

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