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

  • Zaineb Alkawash Sabratha University Faculty of sciences Sabratha Libya
  • Zaleekh Abu Zayd Sabratha University Faculty of sciences Sabratha Libya
Keywords: Linear Algebraic Systems, MPGI; Rank, Least Squares Solution, Linear Programming Problem, TORA software

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.

Author Biographies

Zaineb Alkawash, Sabratha University Faculty of sciences Sabratha Libya

Sabratha University Faculty of sciences Sabratha Libya

Zaleekh Abu Zayd, Sabratha University Faculty of sciences Sabratha Libya

Sabratha University Faculty of sciences Sabratha Libya

Published
2024-04-27
How to Cite
Alkawash, Z., & Abu Zayd, Z. (2024). COMPARING SOLVING LINEAR PROGRAMMING PROBLEMS WITH APPLICATIONS OF THE MOORE-PENROSE GENERALIZED INVERSE TO LINEAR SYSTEMS OF ALGEBRAIC EQUATIONS. Scientific Journal of Applied Sciences of Sabratha University, 9-18. https://doi.org/10.47891/sabujas.v0i0.9-18