Open AccessANALYSIS OF CALCULATION METHODS, OBTAINING ESTIMATES AND ENSURING THE ACCURACY OF SIMULATION OF CONTROL OBJECTS
Author(s) -
Daria Lys
Publication year - 2021
Publication title -
interconf
Language(s) - English
Resource type - Journals
ISSN - 2709-4685
DOI - 10.51582/interconf.7-8.12.2021.055
Subject(s) - algebraic equation , a priori and a posteriori , nonlinear system , algebraic number , computer science , system of linear equations , mathematics , function (biology) , sensitivity (control systems) , linear equation , linear system , mathematical optimization , mathematical analysis , engineering , epistemology , quantum mechanics , evolutionary biology , electronic engineering , biology , philosophy , physics
Systems of linear algebraic equations are a mathematical apparatus that is widely used in solving a significant number of problems in the practical application of mathematics and engineering. The analysis of errors in solving linear algebraic equations and the sensitivity function of nonlinear systems using the method of equivalent excitations, which, in turn, makes it possible to make informed decisions on the choice and development of methods for studying the accuracy of computing devices. Methods for constructing estimates «from below» of the distribution functions of the fatal error of the numerical solution of systems of linear algebraic equations are also presented, in particular, a posteriori estimates of the effectiveness of the methods under study are analyzed.