Classes of general H-matrices
Classes of general H-matrices
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DOI：
10.1016/j.laa.2007.10.030
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发表时间：
2008-11
影响因子：
1.1
通讯作者：
R. Bru;C. Corral;I. Giménez;J. Mas
中科院分区：
文献类型：
--
作者：
R. Bru;C. Corral;I. Giménez;J. Mas
设M（A）表示H-方阵A的比较矩阵，即M（A）是M-矩阵。H-矩阵使得其比较矩阵是非奇异的在文献中得到了很好的研究。本文研究了具有奇异和非奇异比较矩阵的H-矩阵的特征。利用M（A）的Jacobi矩阵的谱半径和广义对角占优性质，对M（A）的Jacobi矩阵进行了刻画。最后给出了一般H-矩阵的一个分类。
Let M(A) denote the comparison matrix of a square H-matrix A, that is, M(A) is an M-matrix. H-matrices such that their comparison matrices are nonsingular are well studied in the literature. In this paper, we study characterizations of H-matrices with either singular or nonsingular comparison matrices. The spectral radius of the Jacobi matrix of M(A) and the generalized diagonal dominance property are used in the characterizations. Finally, a classification of the set of general H-matrices is obtained.