The residual norm behavior of an iterative method for solving linear systems Ax=b is of particular importance. Residual smoothing technique is named for the strategy that improve the residual norm behavior simply via a two term weighted mean of some two points (iterates). A generalization from the two point residual smoothing technique to m point residual smoothing, which is obtained by a m term weighted mean of some m points, is studied and explored. A new hybrid iterative method combining this generalization with restarting approach is presented. Results of numerical experiments comparing the generalization with the original residual smoothing are reported.
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