REGULARIZATION OF NUMERICAL DIFFERENTIATION

Authors

  • N. I. Belaya Zaporizhzhya National Technical University, Ukraine
  • N. A. Nechiporenko Zaporizhzhya National Technical University, Ukraine
  • L. A. Bondarenko Zaporizhzhya National Technical University, Ukraine

DOI:

https://doi.org/10.15588/1607-3274-2008-1-10

Abstract

The algorithms of the approximation the derivative of the function given by table are given. Classic methods quasi-solution and discrepancy are used to numerical differentiation and lead the task to linear programming problems
with special structure of distraction matrix, what allow us to decrease greatly computational complexity.

Author Biographies

N. I. Belaya, Zaporizhzhya National Technical University

Ph.D., Associate Professor

N. A. Nechiporenko, Zaporizhzhya National Technical University

Ph.D., Associate Professor

L. A. Bondarenko, Zaporizhzhya National Technical University

Senior Lecturer

References

Morozov V. A. Regulyarnyye metody resheniya nekorrektno postavlennykh zadach. – M.: Nauka. sm. red. fiz.- mat. lit., 1987. – 240 s.

Grebennikov A.I. Metod splaynov i resheniya nekorrektnykh zadach teorii priblizheniy – M.: Izd-vo MGU, 1983. – 208 s.

Sergiyenko I. V., Zadiraka V. K., Babich M. D. i dr. Komp'yuternyye tekhnologii resheniya zadach prikladnoy i vychislitel'noy matematiki s zadannymi znacheniyami kharakteristik kachestva // Kibernetika i sistemnyy analiz. – 2006. – № 5. – S. 33–41.

Bulavskiy V. A., Zvyagina R. A., Yakovleva M. A. Chislennyye sposoby lineynogo programmirovaniya. – M.: Nauka, 1977. – 368 s.

Downloads

Published

2024-11-01

How to Cite

Belaya, N. I., Nechiporenko, N. A., & Bondarenko, L. A. (2024). REGULARIZATION OF NUMERICAL DIFFERENTIATION. Radio Electronics, Computer Science, Control, (1), 42. https://doi.org/10.15588/1607-3274-2008-1-10

Issue

No. 1 (2008): Radio Electronics, Computer Science, Control

Section

Mathematical and computer modelling

License

Copyright (c) 2014 N. I. Belaya, N. A. Nechiporenko, L. A. Bondarenko

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Creative Commons Licensing Notifications in the Copyright Notices

The journal allows the authors to hold the copyright without restrictions and to retain publishing rights without restrictions.

The journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles.

The journal allows to reuse and remixing of its content, in accordance with a Creative Commons license СС BY -SA.

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License CC BY-SA that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.