严格对角占优M-矩阵的逆矩阵的无穷大范数的新上界New upper bounds for the infinity norm of inverse matrix of strictly diagonally dominant M-matrix
王峰;孙德淑;李朝迁;
摘要(Abstract):
给出了严格对角占优M-矩阵的逆矩阵的无穷大范数上界新的估计式,进而给出严格对角占优M-矩阵的最小特征值下界的估计式.新估计式改进了已有文献的结果.
关键词(KeyWords): M-矩阵;对角占优;上界;最小特征值
基金项目(Foundation): 国家自然科学基金(11511140;11361074);; 云南省科技厅应用基础研究基金(2013FD002);; 贵州省科学技术基金([2015]2073);; 贵州民族大学科研基金(15XRY004)
作者(Authors): 王峰;孙德淑;李朝迁;
参考文献(References):
- [1]Varah J M.A lower bound for the smallest singular value of a matrix[J].Linear Algebra Appl.,1975,11:3-5.
- [2]Shivakumar P N,Willoams J J,Ye Qiang,et al.On two-sided bounds related to weakly diagonally dominant M-matrices with application to digital circuit Dynamics[J].SIAM J.Matrix Anal.Appl.,1996,17(2):298-312.
- [3]Cheng Guanghui,Hang Tingzhu.An upper bound for∥A-1∥∞of strictly diagonally dominant M-matrices[J].Linear Algebra Appl.,2007,426:667-673.
- [4]Wang Pign.An upper bound for∥A-1∥∞of strictly diagonally dominant M-matrices[J].Linear Algebra Appl.,2009,431:511-517.
- [5]潘淑珍,陈神灿.弱链对角占优矩阵∥A-1∥∞的上界估计[J].福州大学学报:自然科学版,2012,40(3):281-284.
- [6]Huang Tingzhu,Zhu Yan.Estimation of∥A-1∥∞for weakly chained diagonally dominant M-matrices[J].Linear Algebra Appl.,2010,432:670-677.
- [7]Li Yaotang,Wang Feng,Li Chaoqian,et al.Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix[J].J.Inequal.Appl.,2013,480:1-8.