![](/images/graphics-bg.png)
A new iterative method for solving linear systems of equations
Author
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 5, Issue 3 (30 Sep. 2012), pp.169-184, 16 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2012-09-30
Country of Publication
Jordan
No. of Pages
16
Main Subjects
Topics
Abstract EN
The Jacobi and Gauss-Seidel iterative methods are among iterative methods for solving linear system of equations.
In this paper, a new iterative method is introduced, it is based on the linear combination of old and most recent calculated solutions.
The new method can be considered as a general method, where the Jacobi and Gauss-Seidel methods as two special cases of it.
Some convergence properties are studied, and numerical examples are given to show the effectiveness of the new method.
When Jacobi method converges, the new method can be used to accelerate the convergence.
In special cases, when one of the two iterative methods, Jacobi or Gauss-Seidel, diverges, the new method can be used to obtain convergence.
American Psychological Association (APA)
al-Rabth, Adil H.. 2012. A new iterative method for solving linear systems of equations. Jordan Journal of Mathematics and Statistics،Vol. 5, no. 3, pp.169-184.
https://search.emarefa.net/detail/BIM-320466
Modern Language Association (MLA)
al-Rabth, Adil H.. A new iterative method for solving linear systems of equations. Jordan Journal of Mathematics and Statistics Vol. 5, no. 3 (Sep. 2012), pp.169-184.
https://search.emarefa.net/detail/BIM-320466
American Medical Association (AMA)
al-Rabth, Adil H.. A new iterative method for solving linear systems of equations. Jordan Journal of Mathematics and Statistics. 2012. Vol. 5, no. 3, pp.169-184.
https://search.emarefa.net/detail/BIM-320466
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 184
Record ID
BIM-320466