A New Upper Bound for ‖A~(-1)‖ of a Strictly α-Diagonally Dominant M-Matrix

Zhanshan Yang; Bing Zheng; Xilan Liu

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A New Upper Bound for ‖A~(-1)‖ of a Strictly α-Diagonally Dominant M-Matrix

机译：严格α对角占优M矩阵的“ A〜（-1）”的新上界

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摘要

A new upper bound for ‖A~(-1)‖ of a real strictly diagonally dominant M-matrix A is present, and a new lower bound of the smallest eigenvalue λ_(min)(A) of A is given, which improved the results in the literature. Furthermore, an upper bound for ‖A~(-1)‖ of a real strictly α-diagonally dominant M-matrix is shown.

机译：给出了一个严格严格对角占优的M矩阵A的“ A〜（-1）”的新上限，并给出了A的最小特征值λ_（min）（A）的新下界，从而改善了结果在文献中。此外，给出了一个严格的α对角占优的M矩阵的“ A〜（-1）”的上限。

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来源
《Advances in numerical analysis》 |2013年第2013期|980615.1-980615.6|共6页
作者
Zhanshan Yang; Bing Zheng; Xilan Liu;
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作者单位

Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining 810007, China;

School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;

Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining 810007, China;

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1. New upper bounds for ∥ A − 1 ∥ ∞ $|A^{-1}|_{infty}$ of strictly diagonally dominant M -matrices [J] . Feng Wang, De-shu Sun, Jian-xing Zhao Journal of inequalities and applications . 2015,第1期

机译：strictly A − 1∞∞$ | A ^ {-1} | _ { infty} $的严格对角占优M矩阵的新上限
2. An upper bound for parallel to A(-1)parallel to(infinity) of strictly diagonally dominant M-matrices [J] . Wang P Linear Algebra and its Applications . 2009,第5a7期

机译：平行于严格对角占优M矩阵的A（-1）平行于（无穷大）的上限
3. An upper bound for parallel to A(-1) parallel to infinity of strictly diagonally dominant M-matrices [J] . Cheng GH, Huang TH Linear Algebra and its Applications . 2007,第2a3期

机译：平行于A（-1）的上限，平行于严格对角占优M矩阵的无穷大
4. A New Criteria for Generalized Strictly Diagonally Dominant Matrices Based on α- Diagonally Dominant [C] . Yong-en Du, Quan Lu, Zhong Xu, MAO;International conference of matrices and operators . 2011

机译：基于α对角占优的广义严格对角占优矩阵的新判据
5. Computer modeling of complex metal forming processes using the upper bound elemental technique (UBET) and modified upper bound elemental technique (MUBET). [D] . Al-Mohaileb, Mazyad M. 2004

机译：使用上限元素技术（UBET）和改进的上限元素技术（MUBET）对复杂的金属成型过程进行计算机建模。
6. Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices [O] . Feng Wang -1

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7. New upper bounds for ∥ A − 1 ∥ ∞ of strictly diagonally dominant M-matrices [O] . Feng Wang, De-shu Sun, Jian-xing Zhao 2015

机译：严格对角占优M矩阵的∥A − 1∞的新上限

A New Upper Bound for ‖A~(-1)‖ of a Strictly α-Diagonally Dominant M-Matrix

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