We offer a unified treatment of distinct measures of well-posedness for homogeneous conic systems. To that end, we introduce a distance to infeasibility based entirely on geometric considerations of the elements defining the conic system. Our approach sheds new light into and connects several well-known condition measures for conic systems, including {\em Renegar's} distance to infeasibility, the {\em Grassmannian} condition measure, a measure of the {\em most interior} solution, as well as the {\em sigma} and {\em symmetry} measures.
Citation
Working Paper, Carnegie Mellon University, May 2018.
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View A data-independent distance to infeasibility for linear conic systems