A Simple Iterative Method for Exact Solution of Systems of Linear Algebraic Equations
Department of Innovation Development, ‘VNIIEM Corporation’ JC, Moscow, Russia. 2
Department of Ship Electricity and Automatics, Northern (Arctic) Federal University, Severodvinsk, Russia
Albert Iskhakov, Sergey Skovpen, “A Simple Iterative Method for Exact Solution of Systems of Linear Algebraic Equations. American Research Journal of Mathematics; vol 5, no. 1, 2019, pp. 1-3.
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
