Convexity of a NC function

This chapter describes commands which do two things. One is compute the "region" on which a noncommutative function is matrix convex. The other is take a noncommutative quadratic function variables $H_1, H_2,$ etc and give a Gram representation for it, that is, represent it as

$$V[H]^T M V[H]$$

a "vector" with the $H_j$ entering linearly and $M$ a matrix. Other commands are described here but they are subservient to NCConvexityRegion[afunction,alist,options] and would not be used independently of it. The commands in this chapter are not listed alphabetically but are listed in the presumed order of importance.