Invalid constraint: {concave} == {real affine}

Nonconvex
1

I receive such a error information: Invalid constraint: {concave} == {real affine} for the code below

    cvx_begin sdp
    variable W(Nt,Nt,K) hermitian;
    variable nor(1,K);  
    minimize(....);
    subject to 
    for k=1:K 
   [W(:,:,k),W(:,:,k)*h(:,k);
    h(:,k)'*W(:,:,k),W(:,:,k)-inv_pos(nor(k))] == hermitian_semidefinite(Nt+1);
   [W(:,:,k), W(:,:,k)h(:,k); 
    h(:,k)'W(:,:,k),inv_pos(1-nor(k))] == hermitian_semidefinite(Nt+1);  
    W(:,:,k) == hermitian_semidefinite(Nt);
    nor(k)>=0;
    nor(k)<=1;
       end
       cvx_end

It seems that the use of inv_pos causes the mistake. Do anyone knows how to solve the problem or rewrite this constrait?

2

Why did you re-post?

3

FAQ: Why doesn’t CVX accept my problem? [READ THIS FIRST]

4

Since the constrains have both inv-pos(nor(k)) and inv-pos(1-nor(k)). So if I define nor1= inv-pos(nor(k)) to make it convex , it is hard to express inv-pos(nor(k)) without inv_pos. If I let nor1= inv-pos(nor(k)) , nor2= inv-pos(1-nor(k)), it is hard to state inv_pos(nor1(k))+ inv_pos(nor2(k)=1

5

Then it cannot be solved in CVX.