Sign Patterns of Inverse Doubly-Nonnegative Matrices
Systems and Control
2021-03-09 v3 Numerical Analysis
Signal Processing
Numerical Analysis
Optimization and Control
Abstract
The sign patterns of inverse doubly-nonnegative matrices are examined. A necessary and sufficient condition is developed for a sign matrix to correspond to an inverse doubly-nonnegative matrix. In addition, for a doubly-nonnegative matrix whose graph is a tree, the inverse is shown to have a unique sign pattern, which can be expressed in terms of a two-coloring of the graph.
Cite
@article{arxiv.1903.04141,
title = {Sign Patterns of Inverse Doubly-Nonnegative Matrices},
author = {Sandip Roy and Mengran Xue},
journal= {arXiv preprint arXiv:1903.04141},
year = {2021}
}
Comments
Final version of paper, appeared in Linear Algebra and its Applications in March 2021