Peculiarities of using multiple precision arithmetic in mathematical modeling
Abstract
In the paper the peculiarities of using multi-bit arithmetic in mathematical modeling are investigated. An experimental study of means of improving the accuracy of computer results of solving poorly ill-conditioned systems of linear algebraic equations using the GMP library is described to improve the accuracy of calculations.
References
Molchanov Y.N. Mashynnыe metody reshenyia prykladnыkh zadach. Alhebra, pryblyzhenye funktsyi, obyknovennye dyfferentsyalnye uravnenyia. – Kyev: Nauk. dumka, 2007. – 550 s.
Khymych A.N., Molchanov Y.N., Popov O.V. y dr. Parallelnye alhorytmy reshenyia zadach vychyslytelnoi matematyky. - Kyiv: Nauk. dumka, 2008. – 247 s.
Khimiсh O.M., Chistyakova T.V, Sidoruk V.A., Yershov P.S. Adaptive computer technologies for solving problems of computational and applied mathematics. Cybernetics and Systems Analysis. 2021. Vol. 57, N 6. P. 990–997. DOI: https://doi.org/10.1007/s10559-021-00424-z
Hlushkov V. M., Molchanov, B.N. Brusnykyn y dr Prohrammnoe obespechenye OVM MYR-1 y MYR-2. Chyslennye metody - Kyev: Nauk. dumka, 1976. – T. 1. – 280 s.
Bailey, D. H.; Hida, Y.; Li, Y.; Thompson, B. ARPREC: An arbitrary precision computation package, 2002. http://www.davidhbailey.com/dhbpapers/arprec.pdf
Uylkynson Dzh.Kh., Dzh.Kh., Rainsh K. Spravochnyk alhorytmov na yazyke ALHOL. Lyneinaia alhebra – M.: Mashynostroenye, 1976. – 389 s.
The GNU multiple precision library. https://gmplib.org
Nikolaevskaya, E.A., Chistyakova, T.V. Program-algorithmic methods to improve the accuracy of computer solutions. Cybern Syst Anal 45, 1004–1007 (2009). https://doi.org/10.1007/s10559-009-9164-7
V.K. Zadiraka, A.M. Tereshchenko Kompiuterna aryfmetyka bahatorozriadnykh chysel u poslidovnii ta paralelnii modeliakh obchyslen. – Kyiv: Naukova dumka, 2021. – 135 s.
Copyright (c) 2023 Олександр Хіміч, Олена Ніколаєвська, Ігор Баранов (Автор)

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