New approach to optimal estimation of interval linear system of algebraic equations solutions set

Abstract

New technique of deriving the guaranteed two-sided estimations of solutions set of interval systems of the linear algebraic equations (ISLAE) with the uncertain parameters is offered. The estimation algorithm is based on formalization of the equations with two point matrices and the right-hand sides of vectors - by the analysis of scalar component wise product of matrix entries and their cofactors. Through new matrices bottom and top borders of the interval determinant are established. Solutions of formalized point equations establish conformity between them and a known estimation of an exterior interval hull of the linear interval equations system.