Archive

Published: Građevinar 69 (2017) 7
Paper type: Original scientific paper
Download article (Croatian): PDF
Download article (English): PDF
View count: 0

Iterated Ritz Method for solving systems of linear algebraic equations

Damir Lazarević, Dvornik Josip

Abstract

The paper describes research state of a new iterative method for solving systems of linear algebraic equations. The method is suitable for extremely large systems with sparse matrices. In addition to its own characteristics, it also has a feature of generality, as many iterative methods are only special cases of this approach. The algorithm was developed independently, and then implemented into the open source code program FEAP. Also, various checks were conducted, especially on practical models. Although the method has been only partially studied, good results have already been obtained.

Keywords
iterative method, Jacobi method, Gauß – Seidel method, method of steepest descent, conjugate gradient method

HOW TO CITE THIS ARTICLE:

Lazarević, D., Josip, D.: Iterated Ritz Method for solving systems of linear algebraic equations, GRAĐEVINAR, 69 (2017) 7, pp. 521-535, doi: https://doi.org/10.14256/JCE.2036.2017

OR:

Lazarević, D., Josip, D. (2017). Iterated Ritz Method for solving systems of linear algebraic equations, GRAĐEVINAR, 69 (7), 521-535, doi: https://doi.org/10.14256/JCE.2036.2017

LICENCE:

Creative Commons License
This paper is licensed under a Creative Commons Attribution 4.0 International License.
Authors:
Damir WEB
Damir Lazarević
University of Zagreb,
Faculty of Civil Engineering
DVORNIK WEB
Dvornik Josip
University of Zagreb,
Faculty of Civil Engineering