吉林大学学报(理学版)
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王峰
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WANG Feng
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摘要：
利用逆矩阵元素的范围, 给出严格对角占优M\|矩阵的逆矩阵无穷范数上界新的估计式, 进而得到严格对角占优M-矩阵最小特征值下界的估计式, 并给出了严格α-对角占优M-矩阵的逆矩阵的无穷范数新上界. 理论分析和数值实例表明, 新估计式改进了已有的结果.
关键词: 对角占优, M-矩阵, 上界, 最小特征值
Abstract:
Based on the range for the elements of inverse matrix, a new upper bound of the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix was presented so as to obtain a lower bound of the minimum eigenvalue of the M-matrix. Meanwhile, a new upper bound of the infinity norm of inverse matrix of a strictly α-diagonally dominant M\|matrix was given. Theory analysis and numerical examples show that these bounds improve existed results.
Key words: diagonal dominance, M-matrix, upper bound, minimum eigenvalue
中图分类号:
王峰. 严格对角占优M-矩阵的逆矩阵无穷范数的新上界[J]. 吉林大学学报(理学版), 2016, 54(01): 61-65.
WANG Feng. New Upper Bounds for the Infinity Norm of Inverse Matrix ofStrictly Diagonally Dominant M-Matrix[J]. Journal of Jilin University Science Edition, 2016, 54(01): 61-65.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2016/V54/I01/61
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