Two stage mixed-type splitting iterative methods with applications

被引：3
|
作者：
Najafi, H. Saberi [1 ]
Edalatpanah, S. A. [1 ,2 ]
机构：
[1] Univ Guilan, Fac Math Sci, Dept Appl Math, POB 41335-1914, Rasht, Iran
[2] Islamic Azad Univ, Lahijan Branch, Young Researchers Club, Lahijan, Iran
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2013年 / 7卷 / 02期
关键词：
Two stage iterative method; Splitting; Comparison theorems; Spectral radius; SOR; AOR; SSOR; SAOR; M-matrix;
D O I：
10.1016/j.jtusci.2013.03.003
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We present a class of two stage iterative methods, called two stage mixed-type splitting (TMS) algorithm, and analyze the convergence of this method for solving large nonsingular system of equations Ax = b. Based on this new method, we establish another two stage models such as two stage (SOR, AOR, SSOR, SAOR) algorithms. The convergence of these algorithms is discussed, under the condition that A is Z-matrix. Besides, convergence is further studied for splitting of M-matrix. Numerical example is also reported to confirm the convergence analysis. (C) 2013 Taibah University. Production and hosting by Elsevier B.V. All rights reserved.
引用
收藏
页码：35 / 43
页数：9
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