As per my understanding, you have three know matrices M, N and K, and an unknown matrix V. You want to minimize the infinity norm of M + NVK, and subsequently find out the matrix V that minimizes the infinity norm. It can be achieved in the following manner:
M = [1 0 2 3; 2 1 3 5; 4 1 1 2; 0 3 4 3];
N = [3 0 4; 1 5 2; 7 1 3; 2 2 1];
K = [1 0 2 3; 2 1 3 5];
cvx_begin
variable V(3,2);
minimize(norm(M + N*V*K,inf));
cvx_end
display(V)
Please refer to this stackoverflow question for more info on solving infinity norm minimization problems in matlab.
