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Constrained optimization of the randomized iterative method
Authors:T E Bulgakova  A V Voytishek
Institution:(1) Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090, Russia
Abstract:Selection of conditionally optimal parameters of the randomized iterative method for solving large-scale linear systems of equations is considered. The error of this method is analyzed by analogy with the functional Monte Carlo algorithms. For the simple iteration method, the “column” randomization of the matrix is thoroughly analyzed.
Keywords:system of linear equations  iterative method  column randomization  Monte Carlo method
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