Undersampled Phase Retrieval with Outliers: Supplementary Material

which set to zero yields the minimizer u− = s η + d. The minimization of f+(u) or f−(u) along the curve on which both functions are equal-valued, involves parameterizing this curve and minimizing f+(u) as a function of this parameter. These functions are equal when |u|2− y = y+ |s|2− 2|s|Re{ue}, which corresponds to the circle |u+ s|2 = 2(y+ |s|2). The parameterization then corresponds to the angle along the circle; call it θ. The curve of interest is (u + s) = √