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 ...

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 ...

src/ - This is where the magic happens! Our source code directory includes both serial and parallel implementations of the LU Decomposition algorithm.

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 ...

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 ...

Many applications in fluid mechanics require the numerical solution of sequences of linear systems typically issued from finite element discretization of the Navier-Stokes equations. The resulting ...