SeDuMi - Optimization Package for Symmetric Cones
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This article introduces SeDuMi, a powerful optimization package designed specifically for solving problems over symmetric cones. The package enables efficient handling of optimization problems by leveraging symmetric cone properties, allowing for faster and more accurate computations. SeDuMi implements primal-dual interior-point methods that are particularly effective for semidefinite programming (SDP), second-order cone programming (SOCP), and linear programming (LP) problems. Key functions like sedumi accept problem data in standard form and return optimal solutions with duality gaps. Through its MATLAB interface, users can define cones using structured matrices and solve complex optimization problems with improved numerical stability. This capability enhances problem-solving efficiency and provides deeper insights into cone programming applications.
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