This repository contains Python implementations for solving systems of linear equations, finding the inverse of a matrix, and performing matrix decompositions. The following methods are included: ...

This project focuses on solving systems of linear equations using numerical methods, specifically the LU decomposition method and Gaussian elimination with pivoting. The project is implemented in ...

1 Department of Environmental Health Science, University of Eswatini, Mbabane, Eswatini. 2 Department of Chemistry, University of Eswatini, Kwaluseni, Eswatini. Systems of linear equations or ...

Abstract: Large linear systems are used in many applications, and millions of equations can be utilized (e.g., in aircraft manufacturing). These equations need to be simplified, which allows faster ...

Solving a system of linear equations $Ax=b$, where the co-efficient matrix $A$, is very large and sparse is at the heart of many scientific computing applications ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...