Stability Theory for Linear Inequality Systems
Miguel Angel Goberna, Marco A. López, Maxim Ivanov Todorov · SIAM Journal on Matrix Analysis and Applications · 1996
This paper develops a stability theory for (possibly infinite) linear inequality systems defined on a finite-dimensional space, analyzing certain continuity properties of the solution set mapping. It also provides conditions under which sufficiently small perturbations of the data in a consistent (inconsistent) system produce systems belonging to the same class.