%0 Journal Article
%T Inverse Nonnegativity of Tridiagonal <i>M</i>-Matrices under Diagonal Element-Wise Perturbation
%A Mohamed A. Ramadan
%A Mahmoud M. Abu Murad
%J Advances in Linear Algebra & Matrix Theory
%P 37-45
%@ 2165-3348
%D 2015
%I Scientific Research Publishing
%R 10.4236/alamt.2015.52004
%X 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.
%K Totally Positive Matrix
%K Totally Nonnegative Matrix
%K Tridiagonal Matrices
%K Compound Matrix
%K Element-Wise Perturbations
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=56990