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Comparison theorem with modified Gauss-Seidel and modified Jacobi methods by M-matrixKeywords: Preconditioned linear systems &searchField=keyword">"">Preconditioned linear systems , M-matrix , preconditioning , Comparison Theorem , Modified Gauss-Seidel method (MGS) ,&searchField=keyword"> Modified Jacobi method (MJ)"/> Abstract: 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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