Answers to: Clarifying a dual problem solutionhttp://www.or-exchange.com/questions/15563/clarifying-a-dual-problem-solution<p>I’m referring to this <a href="https://math.stackexchange.com/questions/1044092/sum-of-k-largest-eigenvalues-of-a-symmetric-matrix-as-an-sdp1">https://math.stackexchange.com/questions/1044092/sum-of-k-largest-eigenvalues-of-a-symmetric-matrix-as-an-sdp1</a></p>
<p>I want to solve the maximization problem. As the dual problem is always convex, I understand CVX can solve it. However, I’m faced with a dilemma. When I set up my primal problem for this, wherein I declare Z, X to be both variables, a feasible solution emerges.</p>
<p>It also seems from the derivation that I have strong duality here. How do I set up the ‘maximization’ problem in CVX so that it matches the outcome of my primal problem? (Since trace(AX) is non convex when both A & X are variables)</p>enThu, 02 Jul 2020 14:31:40 -0000