Cybernetics And Systems Analysis logo
Editorial Board Announcements Abstracts Authors Archive
Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.64; 517.443; 519.254
V.K. Zadiraka1


1 V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

zvk140@ukr.net

USING RESERVES OF OPTIMIZATION OF CALCULATIONS
TO SOLVE COMPLEX PROBLEMS

Abstract. The paper considers stages of the development of studies in optimization of computation in Ukraine, in particular, at the V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine, related to elements of the theory of errors, computational algorithms that are optimal in terms of accuracy and speed, high-tech computer technologies for solving problems in computational and applied mathematics with given values of quality characteristics.

Keywords: computational algorithm, approximate solution, error of approximate solution, optimization of algorithms, optimization reserves of computation, computer technologies.



FULL TEXT

REFERENCES

  1. Sergienko IV, Zadiraka V.K., Litvin O.M. Elements of the general theory of optimal algorithms and related questions. Kiev: Nauk. dumka, 2012. 400 p.

  2. Zadiraka V.K., Sergienko I.V. From a scientific result to computer technology. System research and information technology. 2008. № 2. P. 7–28.

  3. Wilkinson J.H. Algebraic problem of eigenvalues (Russian translation). Moscow: Nauka, 1970. 564 p.

  4. Zadiraka V.K., Oleksyuk O.S. Computer arithmetic of multi-digit numbers. Kyiv: Ekonomichna dumka, 2003. 264 p.

  5. Sergienko I.V., Zadiraka V.K., Litvin O.M., Nechuyvether O.P. Optimal algorithms for calculating integrals from fast-oscillating functions with the use of new information operators. Kyiv: Nauk. dumka, 2017. 336 с.

  6. Sergienko IV, Zadiraka V.K., Litvin O.M., Melnikova SS, Nechuyvether O.P. Optimal algorithms for calculating integrals from fast-oscillating functions and their applications. V. 1. Algorithms. Kyiv: Nauk. dumka, 2011. 448 p.

  7. Zadiraka V.K., Shvidchenko I.V. Ways to increase quiltedness of spectral algorithms. Works of the international scientific school-seminar "Problem of computing optimization" (POP-XLII) devoted to the 85th anniversary of academician V.S. Mikhalevich (Kyiv, September 21-25, 2015) 2015. P. 150.

  8. Tereshchenko A.K., Zadiraka V.K. Estimation of complexity of operations of multiplying multi-digit numbers in parallel model of calculations. Computer mathematics. 2016. № 1. P. 58–71.

  9. Zadiraka V.K., Melnikova S.S. Digital signal processing. Kiev: Nauk. Dumka, 1993. 294 p.

  10. Sergienko I.V., Zadiraka V.K., Babich M.D., Berezovsky A.K., Besarab P.N., Lyudvichenko V.A. Computer technologies for solving problems of applied and computational mathematics with given values of quality characteristics. Kibernetika i sistemnyj analiz. 2006. № 5. P. 33–41.

  11. Sergienko IV, Zadiraka V.K., Babych M.D. Problems of computing optimization (1969-2009): Collection of scientific-methodical and educational-organizational materials. 2nd ed. Kyiv: V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine, 2009. 187 p.

  12. Sergienko IV, Zadiraka V.K., Shvedchenko I.V. Scientific topics of international mathematical forums on problems of optimization of calculations. Mathematical and computer simulation. Ser. Physics and Mathematics. 2017. Iss. 15. P. 189–194.

© 2019 Kibernetika.org. All rights reserved.