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Aug 11, 2014 at 1:43 comment added rodms Let $A = diag(a_1, ..., a_N)$ and $I$ be the identity. Then, your constraint becomes $rank(xI - A) = 0$. No need for conic inequality constraints.
Aug 6, 2014 at 16:21 history asked Parsis CC BY-SA 3.0