Abstract
A new iterative method is presented which contains the usual Gauss-Seidel method and its generalizations.
We define the extrapolated Generalized Gauss-Seidel method (EGGS) and give some convergence conditions. We also prove that this method is asymptotically faster, when the matrix A of (1.1) is a consistently ordered matrix.
Finally, some sufficient convergence conditions are given for another generalized iterative method.
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