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.

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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

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Issue

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

Section

Ciencias Básicas

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