Fractional Minimal Rank
Functional Analysis
2017-10-23 v1
Abstract
The notion of fractional minimal rank of a partial matrix is introduced, a quantity that lies between the triangular minimal rank and the minimal rank of a partial matrix. The fractional minimal rank of partial matrices whose bipartite graph is a minimal cycle are determined. Along the way, we determine the minimal rank of a partial block matrix with invertible given entries that lie on a minimal cycle. Some open questions are stated.
Keywords
Cite
@article{arxiv.1710.07343,
title = {Fractional Minimal Rank},
author = {Ben W. Grossmann and Hugo J. Woerdeman},
journal= {arXiv preprint arXiv:1710.07343},
year = {2017}
}
Comments
18 pages, no figures