min ||A(x)-B|| over x and A is a linear mapping
A*x for some input matrix A?
cvx_begin variable x(size(A,2)) minimize(norm(A*x-B)) % insert any constraints cvx_end
Have you read the CVX Users’ Guide http://cvxr.com/cvx/doc/? This is about as straightforward a problem as there is to enter into CVX.
the mapping is a vector x to matrix mapping , that is confusing me , we can’t make it as a multiplication as u wrote , ofcourse i read the guide and had no clue how to solve it
What are the dimensions of
A(x) has the same dimensions as
x were a numerically-populated MATLAB (not CVX) variable, what MATLAB code would you use to evaluate
A(x)? If you can not answer that, I doubt anyone here can help you. So far, all we know is that
A(x) is a mysterious linear map from a vector to a matrix.
Is it something like
A being m by n matrix,
x being n by 1 vector,
B being m by p matrix, and
A(x) = repmat(A*x,1,p) ? If so, use
Whatever it is, if it is a linear map,. and you know how to evaluate it in MATLAB,. you hopefully will be able to code it the same way in CVX when x id declared a CVX variable, as opposed to being a numerically-populated MATLAB variable,.
sir i posted another question its an extension to this with more details , take a look at it , thanks in advance