A data-independent distance to infeasibility for linear conic systems
Optimization and Control
2020-01-24 v3
Abstract
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 on 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, and other geometric measures of {\em symmetry} and of {\em depth} of the conic system.
Keywords
Cite
@article{arxiv.1805.09494,
title = {A data-independent distance to infeasibility for linear conic systems},
author = {Javier Pena and Vera Roshchina},
journal= {arXiv preprint arXiv:1805.09494},
year = {2020}
}
Comments
25 pages, 2 figures. arXiv admin note: text overlap with arXiv:1604.04637