A Simple Iterative Method for Exact Solution of Systems of Linear Algebraic Equations
Affiliation
Department of Innovation Development, ‘VNIIEM Corporation’ JC, Moscow, Russia. 2 Department of Ship Electricity and Automatics, Northern (Arctic) Federal University, Severodvinsk, RussiaAbstract
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
Citation
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.