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February 2009 Another Step Toward an Optimal Two-Parameter SOR Method
Saadat Moussavi
Missouri J. Math. Sci. 21(1): 42-55 (February 2009). DOI: 10.35834/mjms/1316032680


The SOR method is a well-known method obtained from a one-part splitting of the system matrix $A$, using one parameter $\omega$ for the diagonal. Using one parameter for the lower triangular matrix of $A$, M. Sisler introduced a new method. Later, he combined the standard SOR method and his method to get a two-parameter method. Sisler proved that for cyclic and positive-definite matrices, if zero is an eigenvalue of the Jacobi iteration matrix, the two-parameter method is not superior to the SOR method. In this paper we generalize Sisler's method and provide a range for the second parameter on which the two-parameter method is superior to the SOR method.


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Saadat Moussavi. "Another Step Toward an Optimal Two-Parameter SOR Method." Missouri J. Math. Sci. 21 (1) 42 - 55, February 2009.


Published: February 2009
First available in Project Euclid: 14 September 2011

zbMATH: 1169.65029
MathSciNet: MR2503815
Digital Object Identifier: 10.35834/mjms/1316032680

Primary: 65F10

Rights: Copyright © 2009 Central Missouri State University, Department of Mathematics and Computer Science


Vol.21 • No. 1 • February 2009
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