Submit Paper

Article Processing Fee

Pay Online

           

Crossref logo

  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 7, Issue 2, 2019, Page No: 33-34

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

Albert Iskhakov1, Sergey Skovpen2

1.Department of Innovation Development, 'VNIIEM Corporation' JC, Moscow, Russia
2.Department of Ship Electricity and Automatics, Northern (Arctic) Federal University, Severodvinsk, Russia

Citation : Albert Iskhakov, Sergey Skovpen, A Simple Iterative Method for Exact Solution of Systems of Linear Algebraic Equations International Journal of Scientific and Innovative Mathematical Research 2019 , 7(2) : 33-34

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 that generates an exact solution of SLAE for a number of iterations not exceeding the dimension of the system.


Download Full paper: Click Here