Before revision: We study the problem of testing whether a matrix A \in R^{n \times n} with bounded entries (\| A \|_\infty \leq 1) is positive semi-definite (PSD), or \epsilon-far in \ell_2^2-distance from the PSD cone, i.e. \min _{ B \succeq 0} \| A -
After revision: We study the problem of testing whether a matrix A \in R^{n \times n} with bounded entries (\| A \|_\infty \leq 1) is positive semi-definite (PSD), or \epsilon-far in \ell_2^2-distance from the PSD cone, i.e. \min _{ \mathbf{B \succeq 0} \| A -