COMPARING SOLVING LINEAR PROGRAMMING PROBLEMS WITH APPLICATIONS OF THE MOORE-PENROSE GENERALIZED INVERSE TO LINEAR SYSTEMS OF ALGEBRAIC EQUATIONS

Abstract

In this paper, two types of systems were considered. These are the linear systems of algebraic equations (LSAE) as well as linear programming problems (LPP). These systems were studied utilizing the theory of the Moore-Penrose generalized inverse (MPGI) of matrices. We show that the TORA software using to solve linear programming problems. The MPGI of matrices was used to solve linear systems of algebraic equations by means of comparing this solution with solving linear programming in which the TORA software was employed.