A New Criteria for Generalized Strictly Diagonally Dominant Matrices Based on α- Diagonally Dominant

机译：基于α对角占优的广义严格对角占优矩阵的新判据

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摘要

In this paper, a new criteria for generalized strictly diagonally dominant matrices is obtained ,and an existed result is improved.The numerical example verifies the validity of this criteria.

机译：本文为广义严格对角占优矩阵建立了一个新的准则，并对已有的结果进行了改进。数值算例验证了该准则的有效性。

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《MAO;International conference of matrices and operators》|2011年|p.205-208|共4页
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Yong-en Du; Quan Lu; Zhong Xu; Ying-song Fan;
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中图分类代数、数论、组合理论;代数、数论、组合理论;
关键词
Generalized strictly diagonally dominant matrix; Nonsingular H-matrix; strictly α-diagonally dominant matrix;

机译：广义严格对角占优矩阵;非奇异H矩阵;严格α对角占优矩阵;

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专利

1. CRITERIA FOR GENERALIZED DIAGONALLY DOMINANT MATRICES AND M-MATRICES .2. [J] . Gao YM., Wang XH. Linear Algebra and its Applications . 1996,第0期

机译：广义对角占优矩阵和M矩阵的准则.2。
2. On block diagonal-Schur complements of the block strictly doubly diagonally dominant matrices [J] . Zhuo-Hong Huang Journal of inequalities and applications . 2015,第1期

机译：关于块的严格对角占优矩阵的块对角Schur补
3. Convergence of generalized AOR iterative method for linear systems with strictly diagonally dominant matrices [J] . Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui Journal of Computational and Applied Mathematics . 2008,第1期

机译：严格对角占优矩阵的线性系统的广义AOR迭代方法的收敛性
4. A New Criteria for Generalized Strictly Diagonally Dominant Matrices Based on α- Diagonally Dominant [C] . Yong-en Du, Quan Lu, Zhong Xu, International conference of matrices and operators . 2011

机译：基于α-对角占主导地位的广义严格对角线主导矩阵的新标准
5. Relative perturbation theory for diagonally dominant matrices. [D] . Dailey, Megan. 2013

机译：对角占优矩阵的相对摄动理论。
6. The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices [O] . Cheng-yi Zhang, Weiwei Wang, Shuanghua Luo, -1

机译：非严格对角优势矩阵的Schur补的圆盘分离和特征值分布
7. Criteria for generalized diagonally dominant matrices and M-matrices. II [O] . Gao Yi-ming, Wang Xiao-hui 1996

机译：广义对角占优矩阵和M矩阵的条件。 II
8. LU Decompositions of Generalized Diagonally Dominant Matrices [R] . Funderlic, R. E., Neumann, M., Plemmons, R. J. 1982

机译：广义对角占优矩阵的LU分解

A New Criteria for Generalized Strictly Diagonally Dominant Matrices Based on α- Diagonally Dominant

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