Another Approach for Solving a System of Linear Equations

Jurijs Lavendels


The paper proposes an iterative approach for linear system solving, rooted in the approximation solution point multiple displacement to the direction of the final solution, simultaneously reducing the entire residual of equations system.


Systems of linear equations (SLE); direct and iterative methods for solving the SLE; matrix of SLE

Full Text:



B. Demidovich and I. Maron, The Basics of Numerical Methods, (in russian). Moscow: Nauka, 1970.

I. Bronschtein and K. Semendjajev, Mathematical Manual for Engineers and Students, (in russian). Moscow: Nauka, 1981.

M. Kryshchuk and J. Lavendels, “Iterative Method for Solving a System of Linear Equations,” Procedia Computer Science, vol. 104, pp. 133–137, 2017.

A. Heck, Introduction to MAPLE. New-York: Springer-Verlag, Inc., 1996.

M. Trott, The Mathematica GuideBook for Numerics, New-York: Springer-Verlag, Inc., 1208 pp, 2006.

“Studiju kursa “Augstākā matemātika – 1. semestris” e-studiju vietne,” [Online]. Available:

DOI: 10.7250/bfpcs.2017.005


1. Solving Systems of Linear Equations Based on Approximation Solution Projection Analysis
Jurijs Lavendels
Applied Computer Systems  vol: 26  issue: 1  first page: 54  year: 2021  
doi: 10.2478/acss-2021-0007


  • There are currently no refbacks.

Copyright (c) 2018 Boundary Field Problems and Computer Simulation