Resumen de Ameasure of stability and well-posedness of linear semi-infinite inequaltity systems
María Josefa Cánovas Cánovas, Marco A. López Cerdá, Juan Parra López, Francisco Javier Toledo Melero
We consider the parameter space of all the linear inequality systems, in the n-dimensional Euclidean space, with a fixed and arbitrary index set, endowed with the topology of the uniform convergence of the coefficient vectors by means of an extended distance. Some authors consider that a system in the boundary of the set of all the consistent systems is ill-posed. Moreover, the distance to ill-posedness is closely related to the convergence of certain algorithms for solving the system. This paper provides two different expressions to calculate the distance to ill-posedness.
