Title of article
On the modified iterative methods for $M$-matrix linear systems
Author/Authors
Panjeh Ali Beik، Fatemeh نويسنده Vali-e-Asr University of Rafsanjan , , Nasseri Shams، Nafiseh نويسنده Department of Mathematics, Vali-e-Asr University of Rafsanjan ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
17
From page
1519
To page
1535
Abstract
This paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. Recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the Accelerated Overrelaxation (AOR) method. In this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditions. More precisely, it is demonstrated that the preconditioned Mixed-Type Splitting (MTS) iterative methods can surpass the preconditioned AOR iterative methods for an entirely general class of preconditioners handled by Wang and Song [J. Comput. Appl. Math. 226 (2009), no. 1, 114--124]. Finally some numerical results are elaborated which confirm the validity of the established results.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2015
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2389099
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