Sufficient conditions for total positivity, compounds, and Dodgson condensation

Shaun Fallat, Himanshu Gupta, Charles R. Johnson

A $n$-by-$n$ matrix is called totally positive ($TP$) if all its minors are positive and $T{P}_k$ if all of its $k$-by-$k$ submatrices are $TP$. For an arbitrary totally positive mat…