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Transform LMI problem into different SDP form

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#optimization #convex-optimization #semidefinite-programming #linear-matrix-inequality
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Can every semidefinite program be solved in polynomial time?

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#optimization #convex-optimization #numerical-optimization #semidefinite-programming
138
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In semidefinite programming we don't have a full dimensional convex set to use ellipsoid method

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#optimization #convex-optimization #numerical-optimization #semidefinite-programming
115
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Transforming a nearest matrix optimization problem to a standard form

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#optimization #convex-optimization #semidefinite-programming
546
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Proving that a particular set is full dimensional.

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#convex-optimization #nonlinear-optimization #positive-semidefinite #semidefinite-programming
76
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Finding bounds for a subset of the positive semidefinite cone

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#convex-optimization #positive-semidefinite #semidefinite-programming
1.4k
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SOCP to SDP — geometry and intuition

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#linear-algebra #convex-optimization #semidefinite-programming #convex-cone #second-order-cone-programming
292
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Why is the feasible set of solutions to an SDP a spectrahedron?

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#convex-optimization #semidefinite-programming #spectrahedra
1.4k
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Conversion of convex QCQP to standard form SDP

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#optimization #convex-optimization #semidefinite-programming #qcqp #linear-matrix-inequality
194
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Dual of semidefinite program (SDP)

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#optimization #convex-analysis #convex-optimization #semidefinite-programming
359
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Is minimizing the sum of the reciprocals equivalent to maximizing the sum of the non-reciprocals, when the variables are coupled?

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#optimization #convex-optimization #nonlinear-optimization #semidefinite-programming
466
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Reformulation of nonlinear optimization problem as a semidefinite program (SDP)

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#optimization #convex-optimization #nonlinear-optimization #semidefinite-programming
2.1k
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Lagrangian multipliers in the dual of semidefinite programs

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#convex-optimization #lagrange-multiplier #semidefinite-programming
629
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Semidefinite relaxation for QCQP with nonconvex "homogeneous" constraints

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#convex-optimization #semidefinite-programming #non-convex-optimization #qcqp #relaxations
261
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In semidefinite programming what is the cone and what does interior for strong duality mean?

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#optimization #convex-optimization #positive-semidefinite #semidefinite-programming

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