Global convergence of the Armijo epsilon steepest descent algorithm

In this article, we study the unconstrained minimization problem\[(P)\,\,\,\min\left\{ f(x):x\in\mathbb{R}^{n}\right\} .\]where \(f:\mathbb{R}^{n}\rightarrow\mathbb{R}\) is a continuously differentiable function. We introduce a new algorithm which accelerates the convergence of the steepest descent...

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Bibliographic Details
Main Authors: Nour E. Rahali, Nacera Djeghaba, Rachid Benzine
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2012-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/978