Comparison descent directions for Conjugate Gradient Method

Diana Marcela Devia Narvaez; Fernando Mesa; German Correa Vélez

doi:10.22517/23447214.24893

Comparison descent directions for Conjugate Gradient Method

Authors

Diana Marcela Devia Narvaez Universidad Tecnológica de Pereira https://orcid.org/0000-0002-0447-4663
Fernando Mesa Universidad Tecnológica de Pereira https://orcid.org/0000-0002-3418-5555
German Correa Vélez Universidad Tecnológica de Pereira https://orcid.org/0000-0002-5244-3095

DOI:

https://doi.org/10.22517/23447214.24893

Keywords:

Conjugate direction

Abstract

In the following manuscript we will show as a starting point a theoretical analysis of the gradient method, known as one of the first descent methods, and from this we will identify the strength of the conjugate gradient methods. Taking an objective function, we will determine the values that optimize it by means of different methods, indicating the differences of geometric type that these have. Different systems will be used, in order to serve as a test, obtaining their solution in each case and finding the speed at which they converge in accordance with the conjugate gradient methods proposed by Hestenes-Stiefel and Fletcher-Reeves.

Downloads

Download data is not yet available.

Downloads

Vistas(Views):

PDF Descargas(Downloads): 332

Published

2021-11-30

How to Cite

Devia Narvaez, D. M., Mesa, F., & Correa Vélez, G. (2021). Comparison descent directions for Conjugate Gradient Method. Scientia Et Technica, 26(04), 518–524. https://doi.org/10.22517/23447214.24893

Download Citation

Issue

Vol. 26 No. 04 (2021): Octubre-Diciembre

Section

Ciencias Básicas

License

The undersigned authors declare that the article submitted to the journal Scientia et Technica is an original work and that all its content is free of third-party copyright restrictions or has the corresponding authorizations. Consequently, the authors assume responsibility for any litigation or claim related to intellectual property rights, releasing the Technological University of Pereira and the journal Scientia et Technica from any liability.

If the submitted work is accepted for publication, the authors retain copyright to the article and grant the journal Scientia et Technica the right of first publication, as well as a non-exclusive, perpetual license to reproduce, edit, distribute, display, and publicly communicate the article in any medium or format, including print, electronic, databases, repositories, the Internet, or other scientific dissemination systems. The authors agree that the article will be published in open access and distributed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (CC BY-NC-SA 4.0).

The journal Scientia will respect in all cases the moral rights of the authors, in accordance with the provisions of article 30 of Law 23 of 1982 of the Republic of Colombia, recognizing the authorship of the work, the right to integrity and the right of disclosure, which are inalienable and non-waivable.