Some structural results concerning certain classes of qualitative matrices and their inverses |
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Authors: | Gerry Wiener |
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Institution: | NBI Incorporated Boulder, Colorado 80301USA |
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Abstract: | This paper presents some precise structural results concerning combinatorially symmetric, sign symmetric, and sign antisymmetric invertible matrices whose associated diagraphs are trees. In particular given an invertible sign antisymmetric matrix A whose associated digraph is a tree and the fact that A-1 is sign antisymmetric, we are able to completely determine the associated digraph of A-1. |
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