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5. Matrix convexity of trace positivity set of a polynomial


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      Problem 5.1.

      [Eric Evert] Characterize the restrictions on a noncommutative polynomial p such that \mathcal{C} is matrix convex, where \mathcal{C} is the set of all matrix tuples X such that \mathrm{tr}(p(X))\geq 0.

          Cite this as: AimPL: Noncommutative inequalities, available at http://aimpl.org/noncommineqV.