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Why is the Cartesian product of second-order cones self-dual?

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#duality-theorems #dual-cone #second-order-cone-programming
1.1k
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SOCP with a norm constraint

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#optimization #convex-optimization #second-order-cone-programming
69
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Eliminating variables from an SOCP

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#optimization #convex-optimization #second-order-cone-programming
650
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How can a second-order cone problem be expressed as a conic problem?

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#optimization #convex-optimization #second-order-cone-programming
3.4k
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Can a convex QCQP with an additional linear constraint be converted into a SOCP?

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#optimization #convex-optimization #constraints #qcqp #second-order-cone-programming
90
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Failing to frame convex non-linear problem as SOCP

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#convex-optimization #second-order-cone-programming
1.1k
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Why is this an example of second order cone program?

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#geometry #optimization #convex-analysis #convex-optimization #second-order-cone-programming
842
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Minimizing $x^{\frac32}$ over the non-negative reals as a SOCP

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#optimization #convex-optimization #second-order-cone-programming
210
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SOCP formulation: wrong inequality direction in constraints

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#optimization #convex-optimization #second-order-cone-programming
1.4k
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Formulating the dual for an instance of a SOCP with linear constraints

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#optimization #convex-optimization #second-order-cone-programming
370
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Reference table of "tricks" for converting problems to standard LP, QP, SOCP, etc. form?

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#reference-request #convex-optimization #linear-programming #quadratic-programming #second-order-cone-programming
310
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Second Order Cone (SOCP) for element-wise products

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#convex-optimization #quadratic-programming #semidefinite-programming #second-order-cone-programming
881
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Reformulating a Euclidean distance minimization problem into a semidefinite program

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#optimization #euclidean-geometry #convex-optimization #semidefinite-programming #second-order-cone-programming
220
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How to prove the maximum of n-dimensional linear function $a^Tx$ is $||a||_2$ for $||x||_2 \le 1$

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#linear-algebra #convex-optimization #cauchy-schwarz-inequality #qclp #second-order-cone-programming
66
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Trust regions cause optimization problem to blow up

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#convergence-divergence #optimization #convex-optimization #second-order-cone-programming

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