A New Type of Step Sizes for Unconstrained Optimization

Autor:	Abdulkarim Hassan Ibrahim, Maha S. Younis, Mohammed W. Taha, Basim A. Hassan
Rok vydání:	2021
Předmět:	History Mathematical optimization MathematicsofComputing_NUMERICALANALYSIS Unconstrained optimization Type (model theory) Computer Science Applications Education Mathematics
Zdroj:	Journal of Physics: Conference Series. 1999:012099
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/1999/1/012099
Popis:	Step sizes is very important for a global convergence gradient method for solving the problems of unconstrained optimization. The new step sizes formulas techniques proposed, the key idea used in the construction of the algorithm is to approximate Hessian by a suitable diagonal matrix, which has been found to be the most efficient in this paper. Under weaker conditions, we define the convergences of the proposed methods. In addition, we will show that performance of proposed algorithm is better than of the gradient descent (GD) method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e1ef2562c8b381e2e6c428bc6a24871d https://doi.org/10.1088/1742-6596/1999/1/012099 Zobrazit plný text záznamu