LU Decompositions of Generalized Diagonally Dominant Matrices

机译：广义对角占优矩阵的LU分解

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Using the simple vehicle of M-matrices, the existence and stability of LU decompositions of matrices A which can be scaled to diagonally dominant (possibly singular) matrices are investigated. Bounds on the growth factor for Gaussian elimination on A are derived. Motivation for this study is provided in part by applications to solving homogeneous systems of linear equations Ax = 0, arising in Markov queuing networks, input-output models in economics and compartmental systems, where A or -A is an irreducible, singular M-matrix. (ERA citation 07:048931)

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Funderlic, R. E.; Neumann, M.; Plemmons, R. J.;
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年度 1982
页码 1-31
总页数 31
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Matrices; Irreducible Representations; Limiting Values; Numerical Solution;

机译：矩阵;不可约表示;极限值;数值解;

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专利

1. Conditions for separability in generalized Laplacian matrices and diagonally dominant matrices as density matrices [J] . Wu CW Physics Letters, A . 2006,第1a2期

机译：广义Laplacian矩阵和对角占优矩阵作为密度矩阵的可分离性条件
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. 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
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. 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*

LU Decompositions of Generalized Diagonally Dominant Matrices

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