To a substantiation of optimization of iterative processes in non-uniform computing systems

Аuthors

Markov A. S.

Abstract

In work the general theoretical substantiations of expediency of use in system programming of the new approach to the optimum organization of iterative computing processes in non-uniform computing systems at the expense of rational dynamic selection of accuracy of calculations are stated. In an approach substantiation some mathematical dependences allowing quantitatively to estimate possibility of acceleration of the decision of problems without loss of accuracy of result with preservation of properties of stability and convergence of a computing method are offered. For a special case of a method of Newton the received formulas are suitable for practical application.

Keywords:

system programming; iterative computing process; non-uniform computing systems; accuracy of calculations.

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