Using Rounding Errors in Modern Computer Technologies

Introduction. When solving problems of transcomputational complexity, the problem of evaluating the rounding error is relevant, since it can be dominant in evaluating the accuracy of solving the problem. The ways to reduce it are important, as are the reserves for optimizing the algorithms for solvi...

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Autores principales:	Valerii Zadiraka, Inna Shvidchenko
Formato:	article
Lenguaje:	EN RU UK
Publicado:	V.M. Glushkov Institute of Cybernetics 2021
Materias:	rounding error computer technology discrete fourier transform multi-digit arithmetic computer steganography Cybernetics Q300-390
Acceso en línea:	https://doaj.org/article/5500ecb005d9487cbb9d7cce4cc60d1a
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id	oai:doaj.org-article:5500ecb005d9487cbb9d7cce4cc60d1a
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spelling	oai:doaj.org-article:5500ecb005d9487cbb9d7cce4cc60d1a2021-11-08T19:44:54ZUsing Rounding Errors in Modern Computer Technologies2707-45012707-451X10.34229/2707-451X.21.3.4https://doaj.org/article/5500ecb005d9487cbb9d7cce4cc60d1a2021-09-01T00:00:00Zhttp://cctech.org.ua/13-vertikalnoe-menyu-en/275-abstract-21-3-4-artehttps://doaj.org/toc/2707-4501https://doaj.org/toc/2707-451XIntroduction. When solving problems of transcomputational complexity, the problem of evaluating the rounding error is relevant, since it can be dominant in evaluating the accuracy of solving the problem. The ways to reduce it are important, as are the reserves for optimizing the algorithms for solving the problem in terms of accuracy. In this case, you need to take into account the rounding-off rules and calculation modes. The article shows how the estimates of the rounding error can be used in modern computer technologies for solving problems of computational, applied mathematics, as well as information security. The purpose of the article is to draw the attention of the specialists in computational and applied mathematics to the need to take into account the rounding error when analyzing the quality of the approximate solution of problems. This is important for mathematical modeling problems, problems using Bigdata, digital signal and image processing, cybersecurity, and many others. The article demonstrates specific estimates of the rounding error for solving a number of problems: estimating the mathematical expectation, calculating the discrete Fourier transform, using multi-digit arithmetic and using the estimates of the rounding error in algorithms for solving computer steganography problems. The results. The estimates of the rounding error of the algorithms for solving the above-mentioned classes of problems are given for different rounding-off rules and for different calculation modes. For the problem of constructing computer steganography, the use of the estimates of the rounding error in computer technologies for solving problems of hidden information transfer is shown. Conclusions. Taking into account the rounding error is an important factor in assessing the accuracy of the approximate solution of problems of the complexity above average.Valerii ZadirakaInna ShvidchenkoV.M. Glushkov Institute of Cyberneticsarticlerounding errorcomputer technologydiscrete fourier transformmulti-digit arithmeticcomputer steganographyCyberneticsQ300-390ENRUUKКібернетика та комп'ютерні технології, Iss 3, Pp 43-52 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	rounding error computer technology discrete fourier transform multi-digit arithmetic computer steganography Cybernetics Q300-390
spellingShingle	rounding error computer technology discrete fourier transform multi-digit arithmetic computer steganography Cybernetics Q300-390 Valerii Zadiraka Inna Shvidchenko Using Rounding Errors in Modern Computer Technologies
description	Introduction. When solving problems of transcomputational complexity, the problem of evaluating the rounding error is relevant, since it can be dominant in evaluating the accuracy of solving the problem. The ways to reduce it are important, as are the reserves for optimizing the algorithms for solving the problem in terms of accuracy. In this case, you need to take into account the rounding-off rules and calculation modes. The article shows how the estimates of the rounding error can be used in modern computer technologies for solving problems of computational, applied mathematics, as well as information security. The purpose of the article is to draw the attention of the specialists in computational and applied mathematics to the need to take into account the rounding error when analyzing the quality of the approximate solution of problems. This is important for mathematical modeling problems, problems using Bigdata, digital signal and image processing, cybersecurity, and many others. The article demonstrates specific estimates of the rounding error for solving a number of problems: estimating the mathematical expectation, calculating the discrete Fourier transform, using multi-digit arithmetic and using the estimates of the rounding error in algorithms for solving computer steganography problems. The results. The estimates of the rounding error of the algorithms for solving the above-mentioned classes of problems are given for different rounding-off rules and for different calculation modes. For the problem of constructing computer steganography, the use of the estimates of the rounding error in computer technologies for solving problems of hidden information transfer is shown. Conclusions. Taking into account the rounding error is an important factor in assessing the accuracy of the approximate solution of problems of the complexity above average.
format	article
author	Valerii Zadiraka Inna Shvidchenko
author_facet	Valerii Zadiraka Inna Shvidchenko
author_sort	Valerii Zadiraka
title	Using Rounding Errors in Modern Computer Technologies
title_short	Using Rounding Errors in Modern Computer Technologies
title_full	Using Rounding Errors in Modern Computer Technologies
title_fullStr	Using Rounding Errors in Modern Computer Technologies
title_full_unstemmed	Using Rounding Errors in Modern Computer Technologies
title_sort	using rounding errors in modern computer technologies
publisher	V.M. Glushkov Institute of Cybernetics
publishDate	2021
url	https://doaj.org/article/5500ecb005d9487cbb9d7cce4cc60d1a
work_keys_str_mv	AT valeriizadiraka usingroundingerrorsinmoderncomputertechnologies AT innashvidchenko usingroundingerrorsinmoderncomputertechnologies
_version_	1718441472921960448

Using Rounding Errors in Modern Computer Technologies

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