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Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions

Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions

This paper presents a projection-based approach for solving conic feasibility problems. To find a point in the intersection of a cone and an affine subspace, we simply project a point onto this intersection. This projection is computed by dual algorithms operating a sequence of projections onto the cone and generalizing …