The circumcentric direction d of a cone has an exact polyhedral admissible perturbation set larger than the inscribed ball of radius ||d||^2 in the polar cone, with closed-form ||d||^2 from the inverse Gram matrix and specific values like 1/r for symmetric cones.
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On the geometry of circumcentric directions of cones
The circumcentric direction d of a cone has an exact polyhedral admissible perturbation set larger than the inscribed ball of radius ||d||^2 in the polar cone, with closed-form ||d||^2 from the inverse Gram matrix and specific values like 1/r for symmetric cones.