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Exact algorithms for determinantal varieties and semidefinite programming

Exact algorithms for determinantal varieties and semidefinite programming

In this thesis we focus on the study of determinantal structures arising in semidefinite programming (SDP), the natural extension of linear programming to the cone of symetric positive semidefinite matrices. While the approximation of a solution of a semidefinite program can be computed efficiently by interior-point algorithms, neither efficient exact …