it is first time I use the software and I would like to know if this problem can be rewritten somehow to be solved with cvx, or otherway it would be awesome if you can indicate me a program to try to get the solution. I get the error message
??? Error using ==> maximize at 36 Disciplined convex programming error: Cannot maximize a(n) convex expression. Error in ==> semi at 17 maximize(x1^2+x2^2+x3^2)
the code is the following
cvx_begin sdp variables x0 x1 x2 x3 y1 y2 y3 y4 y5 x0==1/sqrt(3) 1/3+x1^2+x2^2+x3^2+y1^2+y2^2+y3^2+y4^2+y5^2<=1 x1==-x3 y1==y5 y2==-y4 x0*X0+x1*X1+x2*X2+x3*X3+y1*Y1+y2*Y2+y3*Y3+y4*Y4+y5*Y5>=0 maximize(x1^2+x2^2+x3^2) cvx_end
X0, X1,…X3,Y1,…Y5,Z1…Z7 (in capital letters) are matrices (spherical tensors) I pretend the product with the variables in lowercase to be positive semidefinite a constraint as well as the other equalities/inequalities after the variable statement.