NCsos - checks whether a polynomial is a SOHS
NCmin - computes the maximal epsilon such that the polynomial f-epsilon is a SOHS
NCdiff - computes the maximal epsilon such that the polynomial f-epsilon*g is a SOHS
NC2d - computes the second derivative of a polynomial
NCisConvex0 - checks if a polynomial is convex, i.e., if its second directional derivative is a SOHS
NCisConvex - checks if a polynomial is convex (algorithm without SDP solvers)
NCopt - computes minimizers and the minimum of a polynomial
GNS - prepares a matrix X for the AWbd function by doing Gelfand-Naimark-Segal construction
AWbd - numerical algorithm for the Artin-Wedderburn block-diagonal decomposition of matrix *-algebras
NCminBall - computes the minimum opt of a polynomial on an nc ball
NCoptBall - computes minimizers and the minimum of a polynomial on an nc ball
NCminCube - computes the minimum opt of a polynomial on an nc polydisc
NCoptCube - computes minimizers and the minimum of a polynomial on an nc polydisc
NCeigMin - computes the lower bound for the minimum eigenvalue of a polynomial subject to constraints S
NCeigOpt - computes minimizers and the minimum eigenvalue of a polynomial subject to constraints S
NCeigOptRand - computes minimizers and the minimum eigenvalue of a polynomial subject to constraints S using randomization

NCisCycEq - checks whether two polynomials are cyclically equivalent (i.e., whether their difference is a sum of commutators)
NCcycEqRep - constructs a canonical cyclically equivalent representative of a polynomial
NCcycSos - checks whether a polynomial is cyclically equivalent to a SOHS
NCcycMin - computes the maximal epsilon such that f-epsilon is cyclically equivalent to a SOHS
NCisCycConvex - checks if the second directional derivative of a polynomial is cyclically equivalent to a SOHS
NCcycOpt - computes trace minimizers and trace minimum of a polynomial whenever the corresponding tracial moment matrix is flat
NCFlatExt - checks whether the extension of dual moment matrices is flat
GNS - prepares a matrix X for the AWbd function by doing Gelfand-Naimark-Segal construction
AWbd - numerical algorithm for the Artin-Wedderburn block-diagonal decomposition of matrix *-algebras
NCtraceMin - computes the lower bound for the minimum of the trace of a polynomial subject to constraints S
NCtraceOptRand - computes minimizers and the minimum of the trace of a polynomial subject to constraints S using randomization

RprojRldlt - tries to find an exact rational positive semidefinite solution of the SDP: X PsD, A*X=b from a floating point solution
fac_reduct - an interactive routine for finding a rational Gram matrix (feasible point) in case of singular feasible point with the aid of facial reduction

BMV - constructs the (m,k) BMV polynomial with x and y as arguments
BMVq - constructs the (m,k) BMV polynomial with x^2 and y^2 as arguments (for modelling psd matrices)
BMVsets - constructs the reduced monomial basis needed for the Gram matrix of (m,k) BMV polynomial with x^2 and y^2 as arguments

NCsetPrecision - sets the precision to be used in some numerical calculations
NCresetPrecision - resets the precision to the value set in NCparam.m
NCsetSolver - sets the solver to be used for SDP (SeDuMi, SDPA-M, SDPT3)
NCresetSolver - resets the choice of SDP solver to the value set in NCparam.m

NCSOStoolsdemo - demonstration (brief tutorial and examples)