Ameasure of stability and well-posedness of linear semi-infinite inequaltity systems

• Autores: María Josefa Cánovas Cánovas , Marco A. López Cerdá , Juan Parra López , Francisco Javier Toledo Melero
• Localización: XXVI Congreso Nacional de Estadística e Investigación Operativa: Úbeda, 6-9 de noviembre de 2001, 2001, ISBN 84-8439-080-2
• Idioma: inglés
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• Resumen

  • 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.