Parametrizations of $k$-Nonnegative Matrices: Cluster Algebras and $k$-Positivity Tests

Anna Brosowsky, Sunita Chepuri, Alex Mason

A $k$-positive matrix is a matrix where all minors of order $k$ or less are positive. Computing all such minors to test for $k$-positivity is inefficient, as there are $\sum_{\ell=…