On generators of bounded ratios of minors for totally positive matrices

Adam Boocher, Bradley Froehle

We provide a method for factoring all bounded ratios of the form $$\det A(I_1|I_1^{\prime })\det A(I_2|I_2^{\prime })/\det A(J_1|J_1^{\prime })\det A(J_2|J_2^{\prime })$$ where $A$ is a totally positive matrix, into…