Estimation of error for the solution of system of linear equations and application of the improved summation in algorithms of the linear algebra

Anna Góraj; M. Jankowski; Andrzej Kiełbasiński; Henryk Woźniakowski

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ArticleOriginal scientific text

Title

Estimation of error for the solution of system of linear equations and application of the improved summation in algorithms of the linear algebra

Authors , , ,

Abstract

In the paper an analysis of errors of the solution of system of the nonsingular linear equations is given. The numerically stable algorithm, implemented in the floating point arithmetics available in modern computers, is applied.

Keywords

ENG

układ równań liniowych, błędy algorytmu sumowania sumowania, poprawiony algorytm sumowania