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Semi-definite programming, and bound on the trace distance

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#matrices #convex-optimization #positive-semidefinite #semidefinite-programming #nuclear-norm
259
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What is the arithmetic cost (computational complexity) of an SDP with nonlinear matrix inequality constraint

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#convex-analysis #convex-optimization #computational-complexity #numerical-optimization #semidefinite-programming
849
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Minimizing the second largest eigenvalue as an SDP with a rank-$1$ constraint

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#linear-algebra #matrices #eigenvalues-eigenvectors #convex-optimization #semidefinite-programming
31
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Is there a way to identify singular points in a spectrahedron without finding the entire set?

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#convex-optimization #numerical-optimization #positive-semidefinite #semidefinite-programming #spectrahedra
593
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Slater constraint qualification: Does equality constraint imply Slater fails?

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#optimization #semidefinite-programming
617
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To prove a matrix is PSD

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#linear-algebra #positive-semidefinite #semidefinite-programming
974
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Minimizing trace of matrix inverse is an SDP?

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#convex-optimization #inverse #trace #semidefinite-programming #linear-matrix-inequality
67
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$\begin{array}{ll}\max\limits_{{H: H\geq 0}} s'Hs.\end{array}$

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#linear-algebra #matrices #optimization #convex-optimization #semidefinite-programming
77
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When does $X \succcurlyeq \operatorname{diag}(X)\operatorname{diag}(X)^\top$, if $X \succcurlyeq 0$?

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#linear-algebra #positive-semidefinite #semidefinite-programming
1k
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Dual of a semidefinite program in non-standard form

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#optimization #convex-optimization #semidefinite-programming
3.3k
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Convert Semidefinite program forms

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#optimization #convex-optimization #semidefinite-programming
626
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Dual formulation of an SDP problem

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#convex-optimization #semidefinite-programming
2.2k
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Dual of a semidefinite program

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#reference-request #optimization #convex-analysis #convex-optimization #semidefinite-programming
76
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Non negativity condition for quartic polynomials?

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#polynomials #sums-of-squares #semidefinite-programming
1k
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Semidefinite relaxation for Boolean least squares

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#optimization #least-squares #discrete-optimization #semidefinite-programming #relaxations

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