弱链对角占优M-矩阵逆的无穷范数新上界估计
New Upper Bound Estimates of the Infinite Norm for the Inverse of Weakly Chain Diagonally Dominant M-Matrices
DOI: 10.12677/AAM.2022.117494, PDF,    科研立项经费支持
作者: 李慧君, 莫宏敏*：吉首大学，数学与统计学院，湖南 吉首
关键词: 弱链对角占优M-矩阵；逆矩阵；无穷范数的上界；Weak Chain Diagonally Dominant Matrices； Inverse Matrices； Upper Bound on an Infinite Norm
摘要: 根据弱链对角占优M-矩阵A的逆矩阵元素，定义新的参数，结合不等式放缩技巧，给出的新上界估计式。理论分析和数值例子说明，新估计式改进了现有文献的有关结果。
Abstract: According to the inverse matrix elements of weakly chain diagonally dominant M-matrix A, the new parameters are defined and the inequality scaling technique is used to obtain . Theoretical analysis and numerical examples show that the new estimate improves the relevant results in the existing literature.
文章引用：李慧君, 莫宏敏. 弱链对角占优M-矩阵逆的无穷范数新上界估计[J]. 应用数学进展, 2022, 11(7): 4683-4689. https://doi.org/10.12677/AAM.2022.117494

参考文献

[1] Shivakumar, P.N., Wiliams, J.J., Ye, Q., et al. (1996) On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics. SIAM Journal on Matrix Analysis and Applications, 17, 298-312. [Google Scholar] [CrossRef] 
[2] Huang, T.Z. and Zhu, Y. (2010) Estimation of for Weakly Chained Diagonally Dominant M-Matrices. Linear Algebra and Its Applications, 432, 670-677. [Google Scholar] [CrossRef] 
[3] 潘淑珍, 陈神灿. 弱链对角占优矩阵 的上界估计[J]. 福州大学学报(自然科学版), 2012, 40(3): 281-284.
[4] 李艳艳, 蒋建新. 弱链对角占优矩阵的 的新界[J]. 云南民族大学学报(自然科学版), 2014, 23(4): 259-261.
[5] 赵仁庆, 刘鹏. 弱链对角占优M-矩阵的逆矩阵的无穷大范数的上界估计[J]. 楚雄师范学院学报, 2014, 29(3): 5-10.
[6] 蒋建新, 李艳艳. 弱链对角占优矩阵的逆矩阵无穷范数的新上界[J]. 咸阳师范学院学报, 2016, 31(2): 53-55.
[7] Sang, C. and Chen, Z. (2021) A New Error Bound for Linear Complementarity Problems of Weakly Chained Diagonally Dominant B-Matrices. Linear and Multilinear Al-gebra, 69, 1909-1921. [Google Scholar] [CrossRef] 
[8] Zhao, R., Zheng, B. and Liang, M. (2020) A New Error Bound for Linear Complementarity Problems with Weakly Chained Diagonally Dominant B-Matrices. Applied Mathe-matics and Computation, 367, Article ID: 124788. [Google Scholar] [CrossRef] 

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