I am optimising the elements of a matrix X based on an ojbective function. I know what value of sum of row elements and sum of column elements should be. I want to optimize the matrix based on these 2 constraints.
If the size of the matrix is , for row and column,
1) sum of column 1 elements: = known column 1 sum.
This can be done for every column giving n column constraints.
I can represent this in
where =ones(1,n) and = known vector
2) I need to do the same for row elements too. I have the known vector.
I'm unable to define one and which constraints the row sum as well as column sum of matrix X