Two stage mixed-type splitting iterative methods with applications

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, SS...

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Published inJournal of Taibah University for Science Vol. 7; no. 2; pp. 35 - 43
Main Authors Najafi, H. Saberi, Edalatpanah, S.A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2013
Subjects
algorithms
AOR
Comparison theorems
equations
M-matrix
methodology
SAOR
SOR
Spectral radius
Splitting
SSOR
Two stage iterative method
M-matrix
Splitting
AOR
SSOR
Spectral radius
SOR
SAOR
Two stage iterative method
Comparison theorems
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ISSN1658-3655
1658-3655
DOI10.1016/j.jtusci.2013.03.003

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Summary: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.
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ISSN:1658-3655
1658-3655
DOI:10.1016/j.jtusci.2013.03.003