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A new adaptive algorithm for the solution of systems of linear equations

Authors: Cunha, Rudnei Dias da, Hopkins, Tim


We present a comparison between serial and parallel implementations of some iterative methods to solve systems of linear equations. The basic vector arithmetic operations used in the implementations are discussed with respect to its parallelization. The iterative methods considered are the Adaptive SOR (A-SOR), the Steepest-descent (G), an adaptive version of the steepest-descent method (A-G), the Richardson's Optimum-Extrapolated (RF-OE), and the Conjugate Gradient (CG).


Proceedings of WoTUG-14: Occam and the Transputer-Current Developments, Janet Edwards, 1991, pp 85 - 99 published by IOS Press, Amsterdam

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