1. bookVolume 26 (2021): Issue 1 (May 2021)
Journal Details
License
Format
Journal
First Published
08 Nov 2012
Publication timeframe
2 times per year
Languages
English
access type Open Access

Solving Systems of Linear Equations Based on Approximation Solution Projection Analysis

Published Online: 04 Jun 2021
Page range: 54 - 59
Journal Details
License
Format
Journal
First Published
08 Nov 2012
Publication timeframe
2 times per year
Languages
English
Abstract

The paper considers an iterative method for solving systems of linear equations (SLE), which applies multiple displacement of the approximation solution point in the direction of the final solution, simultaneously reducing the entire residual of the system of equations. The method reduces the requirements for the matrix of SLE. The following SLE property is used: the point is located farther from the system solution result compared to the point projection onto the equation. Developing the approach, the main emphasis is made on reduction of requirements towards the matrix of the system of equations, allowing for higher volume of calculations.

Keywords

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