Udrenkoproblems of accuracy of computer calculations

Authors

  • O.Yu. Mudrenko

Keywords:

floating point numbers, IEEE-754 standard, accuracy of computer calculations

Abstract

The problem of the accuracy of computer calculations is one of the fundamental problems of Computer Science, since failure to take into account the limit of reliability of computer calculations can lead to unpredictable results. Physical limitations on the amount of memory allocated by computer hardware for number processing impose fundamental restrictions on the capabilities and logic of organizing computer calculations, which also requires the use of specific mathematical research methods.

References

Handbook of Floating-Point Arithmetic. Birkhäuser Basel / J.-M. Muller, N. Brisebarre, F. de Dinechin, C.-P. Jeannerod etc. 2018. 627 p.

IEEE Standard for Floating-Point Arithmetic, (Revision of IEEE 754-2008). IEEE Std 754-2019. 2019. P. 1–84. DOI: 10.1109/IEEESTD.2019.8766229.

Vietrov O., Bilous R. Special methods of increasing the accuracy of computer calculations. 2022 IEEE 3rd KhPI Week on Advanced Technology (KhPIWeek). 2022. P. 1–5. DOI: 10.1109/KhPIWeek57572.2022.9916383.

Vietrov O., Bilous R. Study of the Convergence of Muller’s Sequence Computer Calculations. 2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON). 2021. P. 547–551. DOI: 10.1109/ UKRCON53503.2021.9575546.

Published

2024-05-24

Issue

Section

Природничі та технічні науки