Positive, path product, and inverse M-matrices
β Scribed by Charles R. Johnson; Ronald L. Smith
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 145 KB
- Volume
- 421
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We investigate the Hadamard product of inverse M-matrices and present two classes of inverse M-matrices that are closed under the Hadamard multiplication. In the end, we give some inequalities on the Fan product of M-matrices and Schur complements.
A well-known property of an M-matrix M is that the inverse is element-wise non-negative, which we write as M -1 0. In this paper, we consider element-wise perturbations of non-symmetric tridiagonal M-matrices and obtain sufficient bounds on the perturbations so that the non-negative inverse persists