description:
[X,fX,eig_val,eig_vec,A,fA]=NCoptBall(f,AW) computes minimizers and the minimum of the polynomial f on an nc ball.
arguments:
f is an NCpoly representing a polynomial.
AW: true/false whether AWbd is called.
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output:
X: from GNS - a matrix where each of its rows represents a square matrix
fX: f(X) where X is from GNS
eig_val: eigenvalues of fX
eig_vec: corresponding eigenvectors
A: from AWbd
fA: f(A) where A is from AWbd - actually on each block of A
possible usage:
NCoptBall(f), NCoptBall(f,AW)