| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602906 | Linear Algebra and its Applications | 2008 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
