Iterative Method for Solving a System of Linear Equations

Procedia Computer Science 2017
Mikola Kryshchuk, Jurijs Lavendels

The systems of linear equations are a classic section of numerical methods which was already known BC. It reached its highest peak around 1600-1700 due to the public demand for solutions of technical and engineering tasks, nevertheless, it is still topical nowadays. This paper describes another iterative approach to solving linear systems, which is based in the multiple transfers of the solution proximity point towards the solution itself, simultaneously reducing the differences of all the system equations.

Atslēgas vārdi
The systems of linear equations; Iterative methods for solving systems of linear equations; The requirements for the matrix of the equation system
DOI
10.1016/j.procs.2017.01.085
Hipersaite
https://www.sciencedirect.com/science/article/pii/S1877050917300868?via%3Dihub

Kryshchuk, M., Lavendels, J. Iterative Method for Solving a System of Linear Equations. Procedia Computer Science, 2017, Vol. 104, 133.-137.lpp. ISSN 1877-0509. Pieejams: doi:10.1016/j.procs.2017.01.085

Publikācijas valoda
English (en)