Inverse Nonnegativity of Tridiagonal <i>M</i>-Matrices under Diagonal Element-Wise Perturbation

• 作者: Mahmoud M. Abu Murad Mohamed A. Ramadan
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: Totally Positive MATRIX Totally Nonnegative MATRIX TRIDIAGONAL MATRICES Compound MATRIX Element-Wise Perturbations
• 年，卷（期）: 2015,（2）
• 页码范围: 37-45
• 页数: 9页
• 分类号: O1

摘要

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.