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McDonald, J.J., Nabben, R., Neumannand, M., Schneider, H. and Tsatsomeros, M.J. (1998) Inverse Tridiagonal Z-Matrices. Linear and Multilinear Algebra, 45, 75-97.
http://dx.doi.org/10.1080/03081089808818578

has been cited by the following article:

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

  AUTHORS: Mohamed A. Ramadan, Mahmoud M. Abu Murad

  KEYWORDS: Totally Positive Matrix, Totally Nonnegative Matrix, Tridiagonal Matrices, Compound Matrix, Element-Wise Perturbations

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.5 No.2, June 9, 2015

  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.