Solutuin of a Set of Linear Equations By Matrix Decomposition

Abstract

The solution of a set of linear equations is the grit of numerical solutions. At present, with the
advancement of computer technology and the need for solutions of a large set of equations on different fields of
science and Engineering, new methods and algorithms have been presented which can be found in most of the
Numerical analysis text books. The basis of most of these methods like any other numerical works is speed,
accuracy and less storage requirements.
The method presented in this paper is a new method called "Decomposition Method". the basic idea of
this new method is decomposition of n×n coefficient matrix into n simple special n×n matrice