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Monotonicity of Perturbed Tridiagonal $M$-Matrices

✍ Scribed by Huang, Jie; Haynes, Ronald D.; Huang, Ting-Zhu

Book ID
118212018
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
266 KB
Volume
33
Category
Article
ISSN
0895-4798

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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

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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