On the inverses of general tridiagonal matrices
โ Scribed by Hou-Biao Li; Ting-Zhu Huang; Xing-Ping Liu; Hong Li
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 257 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
We establish upper and lower bounds for the entries of the inverses of diagonally dominant tridiagonal matrices. These bounds improve the bounds recently given by Shivakumar and Ji. Moreover, we show how to improve our bounds iteratively. For an n x n M-matrix this iterative refinement yields the ex
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 bounds on the perturbations so that the non-negative inverse persists. Sufficien
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