Table of Contents
ISRN Applied Mathematics
Volume 2011 (2011), Article ID 715748, 22 pages
http://dx.doi.org/10.5402/2011/715748
Research Article

Gradient-Type Methods: A Unified Perspective in Computer Science and Numerical Analysis

Dipartimento di Matematica, Università degli Studi di Roma Tor Vergata, Viale della Ricerca Scientifica, 00133 Roma, Italy

Received 4 April 2011; Accepted 11 May 2011

Academic Editors: G. Kyriacou and M. Sun

Copyright © 2011 Stefano Fanelli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents a general and comprehensive description of Optimization Methods, and Algorithms from a novel viewpoint. It is shown, in particular, that Direct Methods, Iterative Methods, and Computer Science Algorithms belong to a well-defined general class of both Finite and Infinite Procedures, characterized by suitable descent directions.