Decomposability of Nonnegative r-Potent Matrices
Functional Analysis
2015-04-20 v1
Abstract
We consider nonnegative r-potent matrices with finite dimensions and study their decomposability. We derive the precise conditions under which an r-potent matrix is decomposable. We further determine a general structure for the r-potent matrices based on their decomposability. Finally, we establish that semigroups of r-potent matrices are also decomposable.
Cite
@article{arxiv.1504.04585,
title = {Decomposability of Nonnegative r-Potent Matrices},
author = {Rashmi Sehgal Thukral and Alka Marwaha},
journal= {arXiv preprint arXiv:1504.04585},
year = {2015}
}
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20 Pages