Numerical minimisation methods in data analysis models
DOI:
https://doi.org/10.15587/1729-4061.2010.2656Keywords:
gradient method, minimisation, dual directions methodAbstract
Updatings of minimisation of functions methods of many variables are constructed. Introduction of parametres and the additional information on properties of function allows adapting process of calculations. It is proved conditions of convergence and speed estimation are received.References
- Нікольський Ю.В. Невизначеність та надлишковість даних у моделі процесу їх аналізу / Ю.В.Нікольський // Східно-Європейський журнал передових технологій. – Харків, 2009. – № 6/2 (42). – С. 27-31.
- Хайкин С. Нейронные сети: полный курс/ Хайкин С. – М.: Издательский дом «Вильямс», 2006. – 1104 с.
- Нікольський Ю.В. Генетичні алгоритми в екстремальних задачах/ Ю.В.Нікольський, Ю.М. Щербина // Вісн. Львів. ун-ту. Сер.: Прикладна математика та інформатика. – 2000. – Вип. 2 . – С. 191-208.
- Режим доступу: – http://ru.wikipedia.org/wiki/Алгоритм_Левенберга_—_Марквардта.
- Пшеничный Б.Н. Численные методы в экстремальных задачах / Пшеничный Б.Н., Данилин Ю.М. – М.: Наука, 1975. – 320 c.
- Канторович Л.В. О методе наискорейшего спуска/ Канторович Л.В.// дан СССР. – 1947. – Вип.56. – С. 235-236.
- Бирман М.Ш. Некоторые оценки метода скорейшего спуска/ Бирман М.Ш // УМН. – 1950. – Вип. 5, №3. – C. 152-155.
- Алексеев В. И. Градиентный метод поиска экстремума с вычислением коэффициента овражности / Алексеев В. И. // Автом. и вычисл. техника. – 1976. – №3. – С.43-46.
- Фридман В.М. О сходимости методов типа наискорейшего спуска / Фридман В.М. // УМН. – 1962. – Вип.17, №3. – С.201-204.
- Сафро В.М. О скорости сходимости некоторых градиентных методов/ Сафро В.М. // ЖВМ и МФ. – 1976. – №2, вип.16. – С. 496-499.
- Поляк Б.Т. Градиентные методы минимизации функционалов / Поляк Б.Т. // ЖВМ и МФ. – 196З. – Вип.3, №4. – С.643-654.
- Гельфанд И.М. Принцип нелокального поиска в задачах автоматической оптимизации / Гельфанд И.М., Цетлин М.Л. // ДАН СССР. – 1961. – Вып. 137. – С.295-298.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Ю.В. Нікольський
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.