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What is the volume of the $3$-dimensional elliptope?

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#integration #volume #linear-matrix-inequality #spectrahedra #semialgebraic-geometry
212
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From SDP to EVP

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#linear-algebra #eigenvalues-eigenvectors #nonlinear-optimization #semidefinite-programming #linear-matrix-inequality
125
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How to compute an Linear Matrix Inequality region for a conical sector

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#linear-matrix-inequality
287
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Write the intersection of two quadratic inequalities as the union of quadratic inequalities

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#inequality #quadratic-forms #linear-matrix-inequality
86
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Set Containment

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#convex-optimization #linear-matrix-inequality
715
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Reformulate linear program as semidefinite program

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#optimization #convex-optimization #linear-programming #semidefinite-programming #linear-matrix-inequality
2.4k
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Spectral norm minimization via semidefinite programming

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#optimization #convex-optimization #semidefinite-programming #linear-matrix-inequality #spectral-norm
726
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The equivalence of $Y=XX^T$ - by Schur complement and rank constraint

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#matrices #convex-analysis #matrix-rank #linear-matrix-inequality
1.4k
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Minimization of Frobenius Norm and Schur Complement

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#matrices #convex-optimization #normed-spaces #linear-matrix-inequality #schur-complement
138
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Upper bound of a matrix using trace

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#linear-algebra #trace #linear-matrix-inequality
106
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Outer approximation of union of ellipsoids via $\log\det$ objective and LMI constraint

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#optimization #convex-optimization #nonlinear-optimization #ellipsoids #linear-matrix-inequality
132
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How can I express a linear matrix inequality in an expanded form?

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#linear-algebra #matrices #block-matrices #linear-matrix-inequality #schur-decomposition
36
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Can this problem be reduced to solving an LMI?

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#matrices #block-matrices #linear-matrix-inequality
58
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Proof of a matrix inequality with sorted column vectors and permutation matrices

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#linear-algebra #matrices #linear-matrix-inequality
47
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On the relationship between the Sylvester criterion and the Schur complement for positive semi-definiteness of a matrix via LMI

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#linear-algebra #matrices #optimization #linear-matrix-inequality #schur-complement

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