Given a system of under-constrained (i.e. infinite solutions) linear equations (all values will be integers, all coefficients will be 0, 1, or -1), I want to pick values for the variables to minimize ...
I know the constraints matrix A of a linear program "Min cx such that Ax>=b" is totally unimodular. So, the program has integral solutions for integral vector b. If this is also the case for the ...
Is there any (theoretic) way I can prove the matrix is totally unimodular? I have tested it by Matlab and know it is TU, however I cannot prove it. ...
Let me first make my background clear. I am a PhD student with not much knowledge in optimization but I need to do some optimization as a part of my research work. My problem is as follows: There are ...
I'm a bit confused. Based on Wikipedia: In mathematics, a unimodular matrix M is a square integer matrix having determinant +1, 0 or −1. Equivalently, it is an integer matrix that is invertible ...
Hi I'm new to this, feel free to correct or edit anything if I haven't done something properly. This is a programming problem I'm having and finding a closed form instead of looping would help a lot. ...