American Research Journal of Mathematics         cover
Open Access

American Research Journal of Mathematics

ISSN (Online): 2378-704X

DOI: 10.46568/arjm

Research Article Vol. 5, Issue 1 2023 Open Access

A Simple Iterative Method for Exact Solution of Systems of Linear Algebraic Equations

Albert Iskhakov1, Sergey Skovpen2

Abstract

We present for the first time a theorem (with proof) of solving a system of linear algebraic equations (SLAE) in a finite number of iterations with a stationary matrix. The system is transformed such that the spectrum of the matrix to be unit. Splitting the matrix gives a nilpotent matrix of the iteration system t