How to Alternating minimize the Frobenius norm

minimize (A,B) of , where F denotes Frobenius norm

constraints = n

where diamension of A = m x n, and B = p x m

[Torsten]

If A = m x n, and B = p x m, then A*B is not defined.

And X is the matrix you want to determine and A and B are given ? Or the other way round ?

[Manoj Kumar]

Sorry for mistake, actually diamension of A = p x m, and B is m x p. then ??

[Torsten]

X is the matrix you want to determine and A and B are given ? Or the other way round ?

And you want to minimize ||X-AB|| and at the same time put the constraint ||X-AB||=n ? Strange ...

[Manoj Kumar]

Actually I want to find matrix B , where X and A is given. thats all.

Should we proceed like X - AB ~= 0.

=> B ~= inv(A)*X. or in the other ways.