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Comparison theorem with modified Gauss-Seidel and modified Jacobi methods by M-matrix

Author(s): Tofigh Allahviranloo | Raziyeh Ghasemi Moghaddam | M. Afshar

Journal: Journal of Interpolation and Approximation in Scientific Computing
ISSN 2194-3907

Volume: 2012;
Start page: 1;
Date: 2012;
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Keywords: Preconditioned linear systems | M-matrix | preconditioning | Comparison Theorem | Modified Gauss-Seidel method (MGS) | Modified Jacobi method (MJ)"/>

In the current work, the comparison theorem with modified Gauss-Seidel method and modified Jacobi method, are proved in detail and superiority of MGS method is illustrated by solving some numerical examples.
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