Criteria for Generalized Strictly α-Diagonally Dominant Matrices and Nonsingular H-Matrices

机译：广义严格α对角线主导矩阵和非奇形H矩阵的标准

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摘要

In this paper, several conditions for determining generalized strictly α-diagonally dominant matrices are given. Furthermore, some sufficient conditions for determining nonsingular H-matrix are obtained by using the theory of diagonally dominant matrices. The numerical example illustrates the effectiveness of these criteria.

机译：在本文中，给出了用于确定广义的若干条件严格α对角显着基质。此外，通过使用对角显性矩阵的理论来获得用于确定非垂直H族矩阵的一些充分条件。数值示例说明了这些标准的有效性。

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《International conference of matrices and operators》|2011年||共4页
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作者
Wei-wei Zhou; Zhong Xu; Quan Lu; Jun-ru Yin;
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正文语种
中图分类代数、数论、组合理论;
关键词
nonsingular H-matrix; α-diagonally dominant matrix; irreducibility;

机译：非垂直的H型;α-对角显性矩阵;不可简化;

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专利

1. On generalized Schur complement of nonstrictly diagonally dominant matrices and general H-matrices [J] . Zhang Cheng-Yi, Zhu Yan, Luo Shuanghua, The Electronic Journal of Linear Algebra . 2012,第1期

机译：关于非严格对角占优矩阵和广义H矩阵的广义Schur补
2. On generalized Schur complement of nonstrictly diagonally dominant matrices and general H-matrices [J] . Zhang Cheng-Yi, Zhu Yan, Luo Shuanghua, The Electronic Journal of Linear Algebra . 2012,第1期

机译：关于非严格对角占优矩阵和广义H矩阵的广义Schur补
3. Criteria for H-Matrices Based on γ?Diagonally Dominant Matrix [J] . Xin Li, Mei Qin Journal of Mathematics Research . 2019,第6期

机译：基于γ对角占优矩阵的H矩阵准则
4. Criteria for Generalized Strictly α-Diagonally Dominant Matrices and Nonsingular H-Matrices [C] . Wei-wei Zhou, Zhong Xu, Quan Lu, MAO;International conference of matrices and operators . 2011

机译：广义严格α对角占优矩阵和非奇异H矩阵的准则
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. ON GENERALIZED SCHUR COMPLEMENT OF NONSTRICTLY DIAGONALLY DOMINANT MATRICES AND GENERAL H-MATRICES ∗ [O] . Cheng-yi Zhang, Yan Zhu, Shuanghua Luo, 2014

机译：非严格对角占优矩阵与一般H矩阵的广义Schur补*
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

Criteria for Generalized Strictly α-Diagonally Dominant Matrices and Nonsingular H-Matrices

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