[X,err]=GNS(V,M,vars,tol,rank_bound) prepares a matrix X for the AWbd function by performing the Gelfand-Naimark-Segal construction.

V - cell of all monomials of degree up to d
M - a flat square matrix
vars - cell of variables
tol - tolerance for computing the rank of a matrix
rank_bound - optional upper bound for the rank of a matrix

X - a matrix where each of its rows represents a square matrix
err - if it equals 0 means that program ended with success otherwise the procedure failed

GNS(V,M,vars), GNS(V,M,vars,tol), GNS(V,M,vars,tol,rank_bound)

NCcycOpt, NCFlatExt, AWbd, NCopt