Inverse Nonnegativity of Tridiagonal M-Matrices under Diagonal Element-Wise Perturbation

DOI: 10.4236/alamt.2015.52004   PDF   HTML   XML   4,156 Downloads   4,604 Views  

Abstract

One of the most important properties of M-matrices is element-wise non-negative of its inverse. In this paper, we consider element-wise perturbations of tridiagonal M-matrices and obtain bounds on the perturbations so that the non-negative inverse persists. The largest interval is given by which the diagonal entries of the inverse of tridiagonal M-matrices can be perturbed without losing the property of total nonnegativity. A numerical example is given to illustrate our findings.

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Ramadan, M. and Abu Murad, M. (2015) Inverse Nonnegativity of Tridiagonal M-Matrices under Diagonal Element-Wise Perturbation. Advances in Linear Algebra & Matrix Theory, 5, 37-45. doi: 10.4236/alamt.2015.52004.

Conflicts of Interest

The authors declare no conflicts of interest.

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