regarding the discussion question, my guess is that the only cases where the answer becomes unique are those 'trivial' single-vector or equivalent cases. More precisely those cases where min(nnz(row_sums),nnz(col_sums))<=1. The reasons is that if one solution exist where x(a,b)>0 and x(c,d)>0 (and a~=c and b~=d; i.e. they are not in the same row or column), then you could simply subtract one from x(a,b) and x(c,d), and add one to x(c,b) and x(a,d), and the result will also be a valid solution... thoughts?
Nice problem
I confess, I found the results using intlinprog.
I would love to know how you came up with that.
3617 Solvers
17158 Solvers
Matrix with different incremental runs
249 Solvers
149 Solvers
Given a square and a circle, please decide whether the square covers more area.
351 Solvers
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!