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• W2203670454 abstract "We develop algorithms for inner approximating the cone of positive semidefinite matrices via linear programming and second order cone programming. Starting with an initial linear algebraic approximation suggested recently by Ahmadi and Majumdar, we describe an iterative process through which our approximation is improved at every step. This is done using ideas from column generation in large-scale linear and integer programming. We then apply these techniques to approximate the sum of squares cone in a nonconvex polynomial optimization setting, and the copositive cone for a discrete optimization problem." @default.
• W2203670454 created "2016-06-24" @default.
• W2203670454 creator A5012900736 @default.
• W2203670454 creator A5048845565 @default.
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• W2203670454 date "2015-12-16" @default.
• W2203670454 modified "2023-09-26" @default.
• W2203670454 title "Optimization over Structured Subsets of Positive Semidefinite Matrices via Column Generation" @default.
• W2203670454 hasPublicationYear "2015" @default.
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