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Title of Article

ERROR-FREE RATIONAL CALCULATIONS SOFTWARE AND ITS APPLICATION FOR SOLUTION OF LINEAR SYSTEMS


Issue
4
Date
2009

Article type
scientific article
UDC
681.3.07
Pages
172-180
Keywords
error-free calculations, solution of linear equation systems, complexity of error-free solution, parallelization, generalized inverse matrix, Moore-Penrose Matrix, Hermit method, error-free rational calculation, s software


Authors
Germanenko M.I.
Yuzhno-Uralskiy gosuniversitet, g. Chelyabinsk


Abstract
Theoretical and experimental results on the application of error-free rational calculations for a normal pseudo-solution of linear algebraic equation systems are presented. To accelerate problem solution, it is suitable to use parallel computing. The acceleration is shown to be asymptotically proportional to the number of computers used for solving the problem.

File (in Russian)