solutions localization

Estimation method for a set of solutions to interval system of linear algebraic equations with optimized “saturated block” selection procedure

The paper substantiates the necessity of applying a new method for the formation of a set of basic equations in the problem of localizing solutions to an interval system of linear algebraic equations (ISLAE) on the basis of a “saturated block”. The method is based on  solving the problem of optimization. Th e minimization of the maximal prediction error by using interval models the parameters of which belong to the localization area of ISLAE solutions is  chosen as a criterion.