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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>07</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Comparison results on the preconditioned mixed-type splitting
iterative method for M-matrix linear systems</ArticleTitle><FirstPage>349</FirstPage>
			<LastPage>367</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>M. </FirstName>
					<LastName>Mohseni Moghadam</LastName>
					<Affiliation>Shahid Bahonar University of Kerman</Affiliation>
				</Author>
<Author>
					<FirstName>Fatemeh </FirstName>
					<LastName>Panjeh Ali Beik</LastName>
					<Affiliation>Vali-Asr University of Rafsanjan</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>09</Month>
					<Day>03</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[Consider the linear system Ax=b where the coefficient matrix A is an M-matrix.  In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditioned matrix. Comparison theorems show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than the preconditioned mixed-type splitting and AOR (SOR) iterative methods. Finally, some numerical examples are presented to illustrate the reality of our comparison theorems.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Linear systems</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Mixed-type splitting iterative method</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Preconditioned matrix</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">M-matrix</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>