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Sign Patterns of Inverse Doubly-Nonnegative Matrices
Sandip Roy, Mengran Xue · 2019-03-11 · via eess.SP updates on arXiv.org

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.

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