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?
I confess, I found the results using intlinprog.
I would love to know how you came up with that.
Make a Palindrome Number
Omit columns averages from a matrix
Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)
Find the nearest prime number
Make a run-length companion vector
Remove the air bubbles
Placing Beads Neatly in a Box
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